Pub Date : 2025-12-12DOI: 10.1016/j.chaos.2025.117744
Hong-Wen Shan, Bo Tian, Hao-Dong Liu
Optical fibers have such characteristics as the high bandwidth, low loss and resistance to the electromagnetic interference, which make them used in the telecommunications, medical imaging and sensing applications. A coupled Hirota system in an optical fiber is investigated in this paper. We derive the -soliton solutions in the determinant form via an existing binary Darboux transformation and perform the asymptotic analysis on the obtained -soliton solutions, where is a positive integer. Taking and as two examples, we graphically illustrate the 2 and 3 interacting solitons, aligning with our asymptotic-analysis results. Adjusting the values of some parameters in the obtained -soliton solutions to make the velocities of certain solitons equal, we derive some bound-state solitons and graphically display them.
{"title":"On a coupled Hirota system in an optical fiber: Multi-soliton asymptotics and bound-state solitons","authors":"Hong-Wen Shan, Bo Tian, Hao-Dong Liu","doi":"10.1016/j.chaos.2025.117744","DOIUrl":"10.1016/j.chaos.2025.117744","url":null,"abstract":"<div><div>Optical fibers have such characteristics as the high bandwidth, low loss and resistance to the electromagnetic interference, which make them used in the telecommunications, medical imaging and sensing applications. A coupled Hirota system in an optical fiber is investigated in this paper. We derive the <span><math><mi>N</mi></math></span>-soliton solutions in the determinant form via an existing binary Darboux transformation and perform the asymptotic analysis on the obtained <span><math><mi>N</mi></math></span>-soliton solutions, where <span><math><mi>N</mi></math></span> is a positive integer. Taking <span><math><mrow><mi>N</mi><mo>=</mo><mn>2</mn></mrow></math></span> and <span><math><mrow><mi>N</mi><mo>=</mo><mn>3</mn></mrow></math></span> as two examples, we graphically illustrate the 2 and 3 interacting solitons, aligning with our asymptotic-analysis results. Adjusting the values of some parameters in the obtained <span><math><mi>N</mi></math></span>-soliton solutions to make the velocities of certain solitons equal, we derive some bound-state solitons and graphically display them.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117744"},"PeriodicalIF":5.6,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145731456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-12DOI: 10.1016/j.chaos.2025.117751
O.A. Goryunov, O.V. Maslennikov, M.V. Kiselev, Igor Franović, V.V. Klinshov
{"title":"Corrigendum to “Understanding the training dynamics of CoLaNET by its simplified model” [Chaos Solitons Fractals 203 (2026) 117663]","authors":"O.A. Goryunov, O.V. Maslennikov, M.V. Kiselev, Igor Franović, V.V. Klinshov","doi":"10.1016/j.chaos.2025.117751","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117751","url":null,"abstract":"","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"27 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145732363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-12DOI: 10.1016/j.chaos.2025.117740
Lin Zhou , Haiming Chen , Zuhao Li , Xuehui Chen , Ting Gao , Dali Ge
Self-oscillating systems utilizing optically responsive liquid crystal elastomers (LCEs) are increasingly used in energy harvesting, soft robotics, and actuator applications. However, most studies expose different sections of the same LCE fiber to varying light intensity gradients, leading to local overheating and internal stress concentration, making accurate prediction and control difficult. To overcome these limitations, we propose a dual-beam system operating under a linear optical environment. A general governing equation is formulated, and its asymptotic form is derived for short characteristic times. Numerical analysis reveals a Hopf bifurcation between static and periodic modes. Using multi-scale method, the bifurcation point, oscillation amplitude, and frequency are obtained analytically, and their dependence on system parameters is systematically examined. The analytical solutions agree well with numerical results from both the governing and asymptotic equations, confirming their validity. This system overcomes the limitations of uniform-light models by enabling flexible spatial light regulation, preventing local overheating, and ensuring uniform stress and coordinated deformation. The model is compact and provides a theoretical foundation for analyzing LCE fibers under complex non-uniform or coupled stimulus fields, offering guidance for applications in soft robotics, energy harvesting, and micro-machinery.
{"title":"Self-oscillation of a photo-actuated dual-beam system under linear optical excitation","authors":"Lin Zhou , Haiming Chen , Zuhao Li , Xuehui Chen , Ting Gao , Dali Ge","doi":"10.1016/j.chaos.2025.117740","DOIUrl":"10.1016/j.chaos.2025.117740","url":null,"abstract":"<div><div>Self-oscillating systems utilizing optically responsive liquid crystal elastomers (LCEs) are increasingly used in energy harvesting, soft robotics, and actuator applications. However, most studies expose different sections of the same LCE fiber to varying light intensity gradients, leading to local overheating and internal stress concentration, making accurate prediction and control difficult. To overcome these limitations, we propose a dual-beam system operating under a linear optical environment. A general governing equation is formulated, and its asymptotic form is derived for short characteristic times. Numerical analysis reveals a Hopf bifurcation between static and periodic modes. Using multi-scale method, the bifurcation point, oscillation amplitude, and frequency are obtained analytically, and their dependence on system parameters is systematically examined. The analytical solutions agree well with numerical results from both the governing and asymptotic equations, confirming their validity. This system overcomes the limitations of uniform-light models by enabling flexible spatial light regulation, preventing local overheating, and ensuring uniform stress and coordinated deformation. The model is compact and provides a theoretical foundation for analyzing LCE fibers under complex non-uniform or coupled stimulus fields, offering guidance for applications in soft robotics, energy harvesting, and micro-machinery.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117740"},"PeriodicalIF":5.6,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145732362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-12DOI: 10.1016/j.chaos.2025.117753
Carlos Rocha , Bernold Fiedler , Alejandro López-Nieto
<div><div>We survey the global dynamics of semiflows generated by scalar semilinear parabolic equations which are <span><math><mrow><mi>SO</mi><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></mrow></math></span> equivariant under spatial shifts of <span><math><mrow><mi>x</mi><mo>∈</mo><msup><mrow><mi>S</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>=</mo><mi>R</mi><mo>/</mo><mn>2</mn><mi>π</mi><mi>Z</mi></mrow></math></span>, i.e. <span><span><span>(0.1)</span><span><math><mrow><msub><mrow><mi>u</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>=</mo><msub><mrow><mi>u</mi></mrow><mrow><mi>x</mi><mi>x</mi></mrow></msub><mo>+</mo><mi>f</mi><mrow><mo>(</mo><mi>u</mi><mo>,</mo><msub><mrow><mi>u</mi></mrow><mrow><mi>x</mi></mrow></msub><mo>)</mo></mrow><mo>,</mo><mspace></mspace><mi>x</mi><mo>∈</mo><msup><mrow><mi>S</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>.</mo></mrow></math></span></span></span>For dissipative <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> nonlinearities <span><math><mi>f</mi></math></span>, the semiflow <span><span>(0.1)</span></span> possesses a compact global attractor <span><math><mrow><mi>A</mi><mo>=</mo><msubsup><mrow><mi>A</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></mrow></math></span> which we call Sturm attractor. The Sturm attractor <span><math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span> decomposes as <span><span><span><math><mrow><msubsup><mrow><mi>A</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup><mo>=</mo><msub><mrow><mi>E</mi></mrow><mrow><mi>f</mi></mrow></msub><mo>∪</mo><msubsup><mrow><mi>F</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup><mo>∪</mo><msubsup><mrow><mi>R</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup><mo>∪</mo><msubsup><mrow><mi>H</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup><mo>,</mo></mrow></math></span></span></span>where <span><math><msubsup><mrow><mi>H</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span> denotes heteroclinic orbits between distinct elements of spatially homogeneous equilibria <span><math><msub><mrow><mi>E</mi></mrow><mrow><mi>f</mi></mrow></msub></math></span>, rigidly rotating waves <span><math><msubsup><mrow><mi>R</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span> and, as their non-rotating counterparts, frozen waves <span><math><msubsup><mrow><mi>F</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span>. We therefore represent <span><math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span> by its <em>connection graph</em> <span><math><msubsup><mrow><mi>C</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span>, with vertices in <span><math><mrow><msub><mrow><mi>E</mi></mrow><mrow><mi>f</mi></mrow></msub><mspace></mspace><msubsu
{"title":"Classifications of global attractors for S1-equivariant parabolic equations: A survey","authors":"Carlos Rocha , Bernold Fiedler , Alejandro López-Nieto","doi":"10.1016/j.chaos.2025.117753","DOIUrl":"10.1016/j.chaos.2025.117753","url":null,"abstract":"<div><div>We survey the global dynamics of semiflows generated by scalar semilinear parabolic equations which are <span><math><mrow><mi>SO</mi><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></mrow></math></span> equivariant under spatial shifts of <span><math><mrow><mi>x</mi><mo>∈</mo><msup><mrow><mi>S</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>=</mo><mi>R</mi><mo>/</mo><mn>2</mn><mi>π</mi><mi>Z</mi></mrow></math></span>, i.e. <span><span><span>(0.1)</span><span><math><mrow><msub><mrow><mi>u</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>=</mo><msub><mrow><mi>u</mi></mrow><mrow><mi>x</mi><mi>x</mi></mrow></msub><mo>+</mo><mi>f</mi><mrow><mo>(</mo><mi>u</mi><mo>,</mo><msub><mrow><mi>u</mi></mrow><mrow><mi>x</mi></mrow></msub><mo>)</mo></mrow><mo>,</mo><mspace></mspace><mi>x</mi><mo>∈</mo><msup><mrow><mi>S</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>.</mo></mrow></math></span></span></span>For dissipative <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> nonlinearities <span><math><mi>f</mi></math></span>, the semiflow <span><span>(0.1)</span></span> possesses a compact global attractor <span><math><mrow><mi>A</mi><mo>=</mo><msubsup><mrow><mi>A</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></mrow></math></span> which we call Sturm attractor. The Sturm attractor <span><math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span> decomposes as <span><span><span><math><mrow><msubsup><mrow><mi>A</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup><mo>=</mo><msub><mrow><mi>E</mi></mrow><mrow><mi>f</mi></mrow></msub><mo>∪</mo><msubsup><mrow><mi>F</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup><mo>∪</mo><msubsup><mrow><mi>R</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup><mo>∪</mo><msubsup><mrow><mi>H</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup><mo>,</mo></mrow></math></span></span></span>where <span><math><msubsup><mrow><mi>H</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span> denotes heteroclinic orbits between distinct elements of spatially homogeneous equilibria <span><math><msub><mrow><mi>E</mi></mrow><mrow><mi>f</mi></mrow></msub></math></span>, rigidly rotating waves <span><math><msubsup><mrow><mi>R</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span> and, as their non-rotating counterparts, frozen waves <span><math><msubsup><mrow><mi>F</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span>. We therefore represent <span><math><msubsup><mrow><mi>A</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span> by its <em>connection graph</em> <span><math><msubsup><mrow><mi>C</mi></mrow><mrow><mi>f</mi></mrow><mrow><mi>P</mi></mrow></msubsup></math></span>, with vertices in <span><math><mrow><msub><mrow><mi>E</mi></mrow><mrow><mi>f</mi></mrow></msub><mspace></mspace><msubsu","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117753"},"PeriodicalIF":5.6,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145731457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-12DOI: 10.1016/j.chaos.2025.117742
Qi Li , Feihong Qiao , Honglin Wen , Yingying Li , Luyao Zhou , Ge Wu , Lie Liu , Bo Gao
Based on numerical methods and a variational approach, we investigate a generalized nonlinear Schrödinger equation containing only pure-high-even-order dispersion (PHEOD) and nonlinear terms. We find a family of the bound states of two PHEOD solitons and phenomenologically construct their mathematical expressions. Using these expressions and the system's Hamiltonian principle, we derive an analytical expression for the effective interaction potential between the two PHEOD solitons. This allows us to predict the equilibrium bound state of the two PHEOD solitons, a prediction subsequently verified by numerical simulations. We find that as the dispersion order increases, the depth of the potential well progressively decreases, and the position of its minimum moves toward zero. Furthermore, linear eigen-spectrum analysis of the bound state reveals a resonance instability. These findings provide crucial physical insights into the evolutionary dynamics of PHEOD soliton bound states.
{"title":"The bound states of pure-high-even-order dispersion solitons","authors":"Qi Li , Feihong Qiao , Honglin Wen , Yingying Li , Luyao Zhou , Ge Wu , Lie Liu , Bo Gao","doi":"10.1016/j.chaos.2025.117742","DOIUrl":"10.1016/j.chaos.2025.117742","url":null,"abstract":"<div><div>Based on numerical methods and a variational approach, we investigate a generalized nonlinear Schrödinger equation containing only pure-high-even-order dispersion (PHEOD) and nonlinear terms. We find a family of the bound states of two PHEOD solitons and phenomenologically construct their mathematical expressions. Using these expressions and the system's Hamiltonian principle, we derive an analytical expression for the effective interaction potential between the two PHEOD solitons. This allows us to predict the equilibrium bound state of the two PHEOD solitons, a prediction subsequently verified by numerical simulations. We find that as the dispersion order increases, the depth of the potential well progressively decreases, and the position of its minimum moves toward zero. Furthermore, linear eigen-spectrum analysis of the bound state reveals a resonance instability. These findings provide crucial physical insights into the evolutionary dynamics of PHEOD soliton bound states.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117742"},"PeriodicalIF":5.6,"publicationDate":"2025-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145731455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-11DOI: 10.1016/j.chaos.2025.117734
Diego Molina C. , René G. Rojas , Marcel G. Clerc , Alejandro O. Leon
Translational coupling takes place when the dynamics of a state variable at a given position depend on the state variable at a translated position, as occurs in optical experiments that present misaligned feedback. This article investigates analytically and numerically the effects of translational coupling on the dynamics of a spatially extended dissipative system. We predict a translational-coupling-induced Andronov–Hopf instability with non-zero wavenumber. The resulting unidirectional waves are characterized using a Ginzburg–Landau equation. The analytic solution for this wave shows excellent agreement with the numerical results. For larger values of the coupling parameter, secondary instabilities occur, resulting in spatiotemporal chaotic dynamics. Beyond the dynamics of uniform equilibria and waves, this system exhibits fronts with nonreciprocal propagation. The front speed as a function of the translational coupling parameter is obtained by analytical approximations and numerical simulations, showing good agreement between the two methods. Increasing the translational coupling values, the domains at each side of the front core exhibit a rich self-organization that goes from regular to chaotic waves. Finally, numerical bifurcation diagrams are presented.
{"title":"Unidirectional dynamics in translationally coupled bistable systems: Waves, fronts, and self-organization","authors":"Diego Molina C. , René G. Rojas , Marcel G. Clerc , Alejandro O. Leon","doi":"10.1016/j.chaos.2025.117734","DOIUrl":"10.1016/j.chaos.2025.117734","url":null,"abstract":"<div><div>Translational coupling takes place when the dynamics of a state variable at a given position depend on the state variable at a translated position, as occurs in optical experiments that present misaligned feedback. This article investigates analytically and numerically the effects of translational coupling on the dynamics of a spatially extended dissipative <span><math><msup><mrow><mi>ϕ</mi></mrow><mrow><mn>4</mn></mrow></msup></math></span> system. We predict a translational-coupling-induced Andronov–Hopf instability with non-zero wavenumber. The resulting unidirectional waves are characterized using a Ginzburg–Landau equation. The analytic solution for this wave shows excellent agreement with the numerical results. For larger values of the coupling parameter, secondary instabilities occur, resulting in spatiotemporal chaotic dynamics. Beyond the dynamics of uniform equilibria and waves, this system exhibits fronts with nonreciprocal propagation. The front speed as a function of the translational coupling parameter is obtained by analytical approximations and numerical simulations, showing good agreement between the two methods. Increasing the translational coupling values, the domains at each side of the front core exhibit a rich self-organization that goes from regular to chaotic waves. Finally, numerical bifurcation diagrams are presented.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117734"},"PeriodicalIF":5.6,"publicationDate":"2025-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145731460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Spectral filtering is a powerful mechanism for generating diverse soliton states in mode-locked fiber lasers, particularly in tunable systems where the center wavelength can be continuously adjusted. With the growing interest in pure quartic solitons, the corresponding pulse dynamics in fourth-order dispersion (FOD) fiber lasers become significant. In this work, we numerically investigate the effect of spectral filtering on pulse characteristics in fourth-order dispersion fiber lasers. By incorporating a tunable band-pass filter in the laser, both the central wavelength and spectral shape of pulses are altered, thereby affecting their temporal behaviors. The results demonstrate that the changes in central wavelength of the filter and saturation energy of the gain fiber drive the operating regime from single pulses to soliton molecules. The detuning between the filter and gain centers introduces equivalent group-velocity dispersion (GVD), which causes GVD offset and linear phase of the pulse. When the detuning is large, the pulse characteristics evolve from pure-quartic solitons toward conventional solitons, as confirmed by the energy-duration scaling law. These findings reveal the decisive role of spectral filtering in shaping soliton dynamics in FOD fiber lasers and provide theoretical guidance for the experimental realization of tunable pure-quartic dispersion fiber lasers.
{"title":"Soliton dynamics in fourth-order dispersion mode-locked fiber lasers with wavelength-tunable filters","authors":"Zengrun Wen , Congge Qi , Kaile Wang , Junrong Zhang","doi":"10.1016/j.chaos.2025.117755","DOIUrl":"10.1016/j.chaos.2025.117755","url":null,"abstract":"<div><div>Spectral filtering is a powerful mechanism for generating diverse soliton states in mode-locked fiber lasers, particularly in tunable systems where the center wavelength can be continuously adjusted. With the growing interest in pure quartic solitons, the corresponding pulse dynamics in fourth-order dispersion (FOD) fiber lasers become significant. In this work, we numerically investigate the effect of spectral filtering on pulse characteristics in fourth-order dispersion fiber lasers. By incorporating a tunable band-pass filter in the laser, both the central wavelength and spectral shape of pulses are altered, thereby affecting their temporal behaviors. The results demonstrate that the changes in central wavelength of the filter and saturation energy of the gain fiber drive the operating regime from single pulses to soliton molecules. The detuning between the filter and gain centers introduces equivalent group-velocity dispersion (GVD), which causes GVD offset and linear phase of the pulse. When the detuning is large, the pulse characteristics evolve from pure-quartic solitons toward conventional solitons, as confirmed by the energy-duration scaling law. These findings reveal the decisive role of spectral filtering in shaping soliton dynamics in FOD fiber lasers and provide theoretical guidance for the experimental realization of tunable pure-quartic dispersion fiber lasers.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117755"},"PeriodicalIF":5.6,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145731464","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-10DOI: 10.1016/j.chaos.2025.117739
Pengxiang Wang , Maolin Wang , Tianye Huang , Yiqing Xu , Julien Fatome , Gang Xu
We present hitherto unexplored regimes of polarization-domain-wall dynamics, including breathing structures, quadristable states, and tail-locking configurations. Through comprehensive dynamic analysis of coupled Lugiato-Lefever equations, we systematically map distinct operational regimes encompassing stable polarization domain walls and counterparts capable of complex pulsating behaviors. By utilizing the dynamics characterization and spatial eigenvalue analysis, we establish a detailed phase diagram that elucidates the interplay between homogeneous steady states, domain walls, and polarization modulation instabilities under varying driving parameters. This investigation reveals rich vectorial nonlinear phenomena in normally dispersive optical cavities, providing fundamental insights for photonic applications.
{"title":"Unveiling the hidden dynamics of polarization domain walls in passive Kerr resonators","authors":"Pengxiang Wang , Maolin Wang , Tianye Huang , Yiqing Xu , Julien Fatome , Gang Xu","doi":"10.1016/j.chaos.2025.117739","DOIUrl":"10.1016/j.chaos.2025.117739","url":null,"abstract":"<div><div>We present hitherto unexplored regimes of polarization-domain-wall dynamics, including breathing structures, quadristable states, and tail-locking configurations. Through comprehensive dynamic analysis of coupled Lugiato-Lefever equations, we systematically map distinct operational regimes encompassing stable polarization domain walls and counterparts capable of complex pulsating behaviors. By utilizing the dynamics characterization and spatial eigenvalue analysis, we establish a detailed phase diagram that elucidates the interplay between homogeneous steady states, domain walls, and polarization modulation instabilities under varying driving parameters. This investigation reveals rich vectorial nonlinear phenomena in normally dispersive optical cavities, providing fundamental insights for photonic applications.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117739"},"PeriodicalIF":5.6,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145731676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-10DOI: 10.1016/j.chaos.2025.117752
Jian Zhu , Wang Li , Xiangxin Yin , Jiaqi Chang , Donghua Zhao , Yongzheng Sun
Time and energy costs are critical considerations in the practical implementation of synchronization strategies for Kuramoto-oscillator networks. However, the fundamental problem of how to minimize the control cost of achieving multi-objective cluster synchronization within a predefined time remains unresolved. To address this issue, novel cluster synchronization strategies based on finite-time and predefined-time control techniques are proposed. The proposed method avoids chattering phenomena and ensures synchronization by controlling only a single oscillator within each cluster. Sufficient conditions for achieving finite-time and predefined-time synchronization are established, and an upper bound on energy cost for predefined-time cluster synchronization is derived. Specifically, under a predefined convergence time, increasing the number of pinned oscillators facilitates synchronization at the cost of higher energy consumption.
{"title":"Time and energy costs for cluster synchronization in Kuramoto-oscillator networks under pinning strategies","authors":"Jian Zhu , Wang Li , Xiangxin Yin , Jiaqi Chang , Donghua Zhao , Yongzheng Sun","doi":"10.1016/j.chaos.2025.117752","DOIUrl":"10.1016/j.chaos.2025.117752","url":null,"abstract":"<div><div>Time and energy costs are critical considerations in the practical implementation of synchronization strategies for Kuramoto-oscillator networks. However, the fundamental problem of how to minimize the control cost of achieving multi-objective cluster synchronization within a predefined time remains unresolved. To address this issue, novel cluster synchronization strategies based on finite-time and predefined-time control techniques are proposed. The proposed method avoids chattering phenomena and ensures synchronization by controlling only a single oscillator within each cluster. Sufficient conditions for achieving finite-time and predefined-time synchronization are established, and an upper bound on energy cost for predefined-time cluster synchronization is derived. Specifically, under a predefined convergence time, increasing the number of pinned oscillators facilitates synchronization at the cost of higher energy consumption.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117752"},"PeriodicalIF":5.6,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145732365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-12-10DOI: 10.1016/j.chaos.2025.117757
Jingyi Wang , Mengrui Zhu , Chenyu Hua , Minggang Wang , Lixin Tian
Addressing the dual challenges of information incompleteness and interaction heterogeneity, this study develops a novel modeling framework for higher-order interactions in networks with incomplete information, elucidating their co-evolutionary effects on collective dynamics. In real-world social systems, individual interaction networks are often constrained by information asymmetry, which leads to dynamic phenomena such as the emergence of cooperation and opinion polarization that deviate significantly from the predictions of traditional complete-information models. The binary interaction paradigm, predominant in existing research, inadequately captures the heterogeneity in individual information transmission. To this end, this study first constructs a cooperative evolution model under incomplete information networks. By introducing an information acquisition capability gradient and adaptive strategy update rules, it reveals the non-linear influence of micro-decision differences on macro-cooperation patterns. Secondly, a higher-order interaction framework with limited information is designed, and the synergistic effect between network topology and information dissemination efficiency is quantitatively analyzed. It is found that group heterogeneity will significantly change the equilibrium path of the game. Finally, multi-scenario simulations are carried out in the Prisoner’s Dilemma Game (PDG) and Snowdrift Game (SG) models. The results demonstrate that higher-order interactions can effectively enhance the rate of evolutionary stable cooperation. While such interactions may induce short-term fluctuations in overall cooperation levels, the implementation of information filtering mechanisms proves capable of fostering cross-group collaboration. Furthermore, our analysis reveals that the higher-order network structure plays a decisive role in determining the evolutionary bifurcation thresholds across different social dilemmas. This study offers a novel theoretical framework for social intervention policies, including rumor governance and public resource allocation. The model framework can not only be used to simulate group behavior under different information availability and higher-order interaction structures, but also provide a reference for optimizing social intervention strategies.
{"title":"Emergence of cooperative behaviors in incomplete information networks: Evolutionary dynamics based on higher-order interactions and adaptive strategies","authors":"Jingyi Wang , Mengrui Zhu , Chenyu Hua , Minggang Wang , Lixin Tian","doi":"10.1016/j.chaos.2025.117757","DOIUrl":"10.1016/j.chaos.2025.117757","url":null,"abstract":"<div><div>Addressing the dual challenges of information incompleteness and interaction heterogeneity, this study develops a novel modeling framework for higher-order interactions in networks with incomplete information, elucidating their co-evolutionary effects on collective dynamics. In real-world social systems, individual interaction networks are often constrained by information asymmetry, which leads to dynamic phenomena such as the emergence of cooperation and opinion polarization that deviate significantly from the predictions of traditional complete-information models. The binary interaction paradigm, predominant in existing research, inadequately captures the heterogeneity in individual information transmission. To this end, this study first constructs a cooperative evolution model under incomplete information networks. By introducing an information acquisition capability gradient and adaptive strategy update rules, it reveals the non-linear influence of micro-decision differences on macro-cooperation patterns. Secondly, a higher-order interaction framework with limited information is designed, and the synergistic effect between network topology and information dissemination efficiency is quantitatively analyzed. It is found that group heterogeneity will significantly change the equilibrium path of the game. Finally, multi-scenario simulations are carried out in the Prisoner’s Dilemma Game (PDG) and Snowdrift Game (SG) models. The results demonstrate that higher-order interactions can effectively enhance the rate of evolutionary stable cooperation. While such interactions may induce short-term fluctuations in overall cooperation levels, the implementation of information filtering mechanisms proves capable of fostering cross-group collaboration. Furthermore, our analysis reveals that the higher-order network structure plays a decisive role in determining the evolutionary bifurcation thresholds across different social dilemmas. This study offers a novel theoretical framework for social intervention policies, including rumor governance and public resource allocation. The model framework can not only be used to simulate group behavior under different information availability and higher-order interaction structures, but also provide a reference for optimizing social intervention strategies.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117757"},"PeriodicalIF":5.6,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145731465","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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