Pub Date : 2025-12-18DOI: 10.1016/j.chaos.2025.117743
K. Sabour , S.K. Ivanov , A. Ferrando , Y.V. Kartashov
We show that periodic longitudinal modulation of a waveguide arrays with disclination can result in the appearance of previously unexplored Floquet modes bound to the disclination core. Such modes arise due to oscillations of the waveguides in the array, periodically switching the structure between topological and trivial phases on each modulation period, so that on average it seems trivial. Localization of such modes depends on the amplitude of waveguide oscillations. Depending on the discrete rotational symmetry of the arrays with disclinations, these modes exhibit distinct spatial profiles unattainable in periodic lattices. Propagation in a medium with focusing cubic nonlinearity reveals that these Floquet states remain localized below a critical power threshold, indicating on the possibility of formation of disclination-bound Floquet solitons. Our results unveil a new regime of localization in photonic systems, bridging disclination topology, Floquet engineering, and nonlinearity.
{"title":"Floquet states on disclinations","authors":"K. Sabour , S.K. Ivanov , A. Ferrando , Y.V. Kartashov","doi":"10.1016/j.chaos.2025.117743","DOIUrl":"10.1016/j.chaos.2025.117743","url":null,"abstract":"<div><div>We show that periodic longitudinal modulation of a waveguide arrays with disclination can result in the appearance of previously unexplored Floquet modes bound to the disclination core. Such modes arise due to oscillations of the waveguides in the array, periodically switching the structure between topological and trivial phases on each modulation period, so that on average it seems trivial. Localization of such modes depends on the amplitude of waveguide oscillations. Depending on the discrete rotational symmetry of the arrays with disclinations, these modes exhibit distinct spatial profiles unattainable in periodic lattices. Propagation in a medium with focusing cubic nonlinearity reveals that these Floquet states remain localized below a critical power threshold, indicating on the possibility of formation of disclination-bound Floquet solitons. Our results unveil a new regime of localization in photonic systems, bridging disclination topology, Floquet engineering, and nonlinearity.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117743"},"PeriodicalIF":5.6,"publicationDate":"2025-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784724","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 : 2025-12-18DOI: 10.1016/j.chaos.2025.117785
Arnab Barman
The Landau damping effects on the propagation of dust-acoustic solitary waves (DASWs) are studied in an unmagnetized collisionless plasma system composed of nonthermal Cairns distributed electrons, Maxwellian ions, and positively charged dust grains in the presence of generalized polarization force. The multi-scale reductive perturbation technique is employed in a set of Vlasov equations for electrons, ions, and positively charged dusts coupled to the Poisson equation to derive a modified Korteweg–de Vries (KdV) equation which governs the evolution of DASWs with the effects of wave-particle resonance. A generalized expression for the polarization force is derived to include the effects of polarization force into the system. It is shown that the coefficients of the KdV equation, including the nonlocal integral term, which appears due to the presence of resonant particles, are significantly modified by the generalized polarization force and nonthermal electrons. The effects of the polarization force (), the nonthermal electrons (), the number of charges on the positively charged dust grain surface , the ratios of ions to electrons (positively charged dusts) temperatures (), and electrons (ions) to positively charged dusts densities () are examined on the phase velocity, the solitary wave amplitudes (in the presence and absence of Landau damping) as well as on the Landau damping rate of DASWs are studied. It is found that the Landau damping rate and the decay rate of the solitary wave amplitude are faster the larger is the number of nonthermal electrons () in positively charged dust plasmas, in fact, a rapid damping is also seen to occur with a value of and remains constant after . The results may be useful for understanding the localization of solitary pulses and associated resonance damping of the wave propagating in the mesosphere region.
{"title":"Landau damping of dust-acoustic solitons in a positively charged dust plasma in the presence of generalized polarization force: Effects of nonthermal electrons","authors":"Arnab Barman","doi":"10.1016/j.chaos.2025.117785","DOIUrl":"10.1016/j.chaos.2025.117785","url":null,"abstract":"<div><div>The Landau damping effects on the propagation of dust-acoustic solitary waves (DASWs) are studied in an unmagnetized collisionless plasma system composed of nonthermal Cairns distributed electrons, Maxwellian ions, and positively charged dust grains in the presence of generalized polarization force. The multi-scale reductive perturbation technique is employed in a set of Vlasov equations for electrons, ions, and positively charged dusts coupled to the Poisson equation to derive a modified Korteweg–de Vries (KdV) equation which governs the evolution of DASWs with the effects of wave-particle resonance. A generalized expression for the polarization force is derived to include the effects of polarization force into the system. It is shown that the coefficients of the KdV equation, including the nonlocal integral term, which appears due to the presence of resonant particles, are significantly modified by the generalized polarization force and nonthermal electrons. The effects of the polarization force (<span><math><mrow><mo>∝</mo><mi>R</mi></mrow></math></span>), the nonthermal electrons (<span><math><mrow><mo>∝</mo><mi>α</mi></mrow></math></span>), the number of charges on the positively charged dust grain surface <span><math><msub><mrow><mi>z</mi></mrow><mrow><mi>d</mi></mrow></msub></math></span>, the ratios of ions to electrons (positively charged dusts) temperatures <span><math><msub><mrow><mi>σ</mi></mrow><mrow><mi>i</mi></mrow></msub></math></span> (<span><math><msub><mrow><mi>σ</mi></mrow><mrow><mi>d</mi></mrow></msub></math></span>), and electrons (ions) to positively charged dusts densities <span><math><msub><mrow><mi>μ</mi></mrow><mrow><mi>e</mi></mrow></msub></math></span> (<span><math><msub><mrow><mi>μ</mi></mrow><mrow><mi>i</mi></mrow></msub></math></span>) are examined on the phase velocity, the solitary wave amplitudes (in the presence and absence of Landau damping) as well as on the Landau damping rate of DASWs are studied. It is found that the Landau damping rate and the decay rate of the solitary wave amplitude are faster the larger is the number of nonthermal electrons (<span><math><mrow><mo>∝</mo><mi>α</mi></mrow></math></span>) in positively charged dust plasmas, in fact, a rapid damping is also seen to occur with a value of <span><math><mi>α</mi></math></span> and remains constant after <span><math><mrow><mi>α</mi><mo>≳</mo><mn>0</mn><mo>.</mo><mn>2</mn></mrow></math></span>. The results may be useful for understanding the localization of solitary pulses and associated resonance damping of the wave propagating in the mesosphere region.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117785"},"PeriodicalIF":5.6,"publicationDate":"2025-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784723","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 : 2025-12-18DOI: 10.1016/j.chaos.2025.117732
Xingke Qi , Jianchao Zhang , Jun Wang
To effectively suppress resting tremor in the human arm, this paper proposes a vibration control method based on an inertial nonlinear energy sink (INES) and investigates its influence on the stability and vibration response of the arm joints. Firstly, based on the structure of the human arm and the tremor mechanism, the dynamic equations of the arm are established, and the influences of the biceps brachii muscle (BBM) and INES on arm stability are analyzed. Secondly, the harmonic balance method is used to derive the amplitude frequency response curve of the arm system, and the analytical results are verified by comparing the system responses obtained from the Runge-Kutta method under different excitation amplitude combinations. Then, the vibration suppression performance of different devices is compared, and the influence of the INES parameters on vibration reduction is analyzed. Finally, the non-dominated sorting genetic algorithm (NSGA-II) is used to solve the Pareto frontier of the INES system. The optimal parameters of the INES are determined by the ideal point method, and the optimization effect is evaluated based on the amplitude frequency response. The results show that INES can improve arm stability and effectively suppress the vibration response across the arm joints.
{"title":"Dynamics and vibration suppression of resting tremor based on inertial nonlinear energy sink","authors":"Xingke Qi , Jianchao Zhang , Jun Wang","doi":"10.1016/j.chaos.2025.117732","DOIUrl":"10.1016/j.chaos.2025.117732","url":null,"abstract":"<div><div>To effectively suppress resting tremor in the human arm, this paper proposes a vibration control method based on an inertial nonlinear energy sink (INES) and investigates its influence on the stability and vibration response of the arm joints. Firstly, based on the structure of the human arm and the tremor mechanism, the dynamic equations of the arm are established, and the influences of the biceps brachii muscle (BBM) and INES on arm stability are analyzed. Secondly, the harmonic balance method is used to derive the amplitude frequency response curve of the arm system, and the analytical results are verified by comparing the system responses obtained from the Runge-Kutta method under different excitation amplitude combinations. Then, the vibration suppression performance of different devices is compared, and the influence of the INES parameters on vibration reduction is analyzed. Finally, the non-dominated sorting genetic algorithm (NSGA-II) is used to solve the Pareto frontier of the INES system. The optimal parameters of the INES are determined by the ideal point method, and the optimization effect is evaluated based on the amplitude frequency response. The results show that INES can improve arm stability and effectively suppress the vibration response across the arm joints.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117732"},"PeriodicalIF":5.6,"publicationDate":"2025-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784725","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 : 2025-12-17DOI: 10.1016/j.chaos.2025.117776
Yiming Wang, Shiping Gao
Evolutionary models on higher-order networks typically assume uniform update rates, neglecting the temporal heterogeneity inherent in collective decision-making. In this work, we depart from this assumption by investigating a public goods game on power random hypergraphs where the update rate of each node is coupled to its hyperdegree. Our results show that the interplay between hyperdegree heterogeneity and update dynamics yields outcomes that distinctly differ from established findings in pairwise networks. We confirm that the inverse update rule, assigning rates inversely proportional to hyperdegree, generally lowers the critical threshold for cooperation, but we observe a counter-intuitive reversal in high-synergy regimes where the proportional update rule, typically detrimental in pairwise settings, surpasses the inverse rule. This anomaly arises because different update rules distinctly modulate the evolutionary roles of hubs and peripheral nodes. Furthermore, we identify a trade-off between success and speed: while inverse updating promotes cooperation, it significantly prolongs the time to convergence. These findings demonstrate that the relative efficacy of update strategies is not invariant; rather, it emerges from the specific coupling between temporal dynamics and structural heterogeneity. Our study offers new insights into designing mechanisms for fostering pro-social behaviors, emphasizing the necessity of explicitly considering this coupling effect.
{"title":"Evolution of cooperation on hypergraphs with heterogeneous update dynamics","authors":"Yiming Wang, Shiping Gao","doi":"10.1016/j.chaos.2025.117776","DOIUrl":"10.1016/j.chaos.2025.117776","url":null,"abstract":"<div><div>Evolutionary models on higher-order networks typically assume uniform update rates, neglecting the temporal heterogeneity inherent in collective decision-making. In this work, we depart from this assumption by investigating a public goods game on power random hypergraphs where the update rate of each node is coupled to its hyperdegree. Our results show that the interplay between hyperdegree heterogeneity and update dynamics yields outcomes that distinctly differ from established findings in pairwise networks. We confirm that the inverse update rule, assigning rates inversely proportional to hyperdegree, generally lowers the critical threshold for cooperation, but we observe a counter-intuitive reversal in high-synergy regimes where the proportional update rule, typically detrimental in pairwise settings, surpasses the inverse rule. This anomaly arises because different update rules distinctly modulate the evolutionary roles of hubs and peripheral nodes. Furthermore, we identify a trade-off between success and speed: while inverse updating promotes cooperation, it significantly prolongs the time to convergence. These findings demonstrate that the relative efficacy of update strategies is not invariant; rather, it emerges from the specific coupling between temporal dynamics and structural heterogeneity. Our study offers new insights into designing mechanisms for fostering pro-social behaviors, emphasizing the necessity of explicitly considering this coupling effect.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117776"},"PeriodicalIF":5.6,"publicationDate":"2025-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784728","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 : 2025-12-17DOI: 10.1016/j.chaos.2025.117765
Qiang Xi , Xinzhi Liu , Jianwei Xia
This article investigates the local finite-time input-to-state stability of impulsive systems with unstable jumps, an extended concept proposed for impulsive systems for the first time. The main results are obtained by employing a comparison principle, which reduce the local finite-time input-to-state stability of the original system to the local finite-time stability of a scalar impulsive system. The scalar system is constructed based on a key assumption involving a relaxed differential inequality of Lyapunov function. Another major result is a theorem on local finite-time stability of the scalar impulsive system with unstable jumps, which provides the domain of attraction, initial-value-dependent minimum dwell-time, and settling time estimation. Two examples with simulations are provided to validate the theoretical results.
{"title":"Local finite-time input-to-state stability of impulsive systems with unstable jumps","authors":"Qiang Xi , Xinzhi Liu , Jianwei Xia","doi":"10.1016/j.chaos.2025.117765","DOIUrl":"10.1016/j.chaos.2025.117765","url":null,"abstract":"<div><div>This article investigates the local finite-time input-to-state stability of impulsive systems with unstable jumps, an extended concept proposed for impulsive systems for the first time. The main results are obtained by employing a comparison principle, which reduce the local finite-time input-to-state stability of the original system to the local finite-time stability of a scalar impulsive system. The scalar system is constructed based on a key assumption involving a relaxed differential inequality of Lyapunov function. Another major result is a theorem on local finite-time stability of the scalar impulsive system with unstable jumps, which provides the domain of attraction, initial-value-dependent minimum dwell-time, and settling time estimation. Two examples with simulations are provided to validate the theoretical results.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117765"},"PeriodicalIF":5.6,"publicationDate":"2025-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784730","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 : 2025-12-17DOI: 10.1016/j.chaos.2025.117735
Chunbiao Li , Wanning Yu , Irene Moroz , Yongxin Li , Yuanjin Zheng
Wide chaos-based applications require flexible regulation in a dynamical system; consequently, the non-bifurcation parameter becomes the focus of the system. In this work, two offset regulators are found in a 2D hyperchaotic map. The combination of two parameters realizes free hybrid offset boosting, including the attractor shift along the x-coordinate axis and along any other diagonal direction. Two regimes of multistability can also be defined by the parameters, where the 0-value parameter corresponds to the attractor self-reproducing, while the periodic distribution of one offset-regulator will also awaken the bistability. GOWIN FPGA-based circuit implementation verifies the flexible offset boosting driven by the two parameters.
{"title":"Hybrid offset boosting in a hyperchaotic map","authors":"Chunbiao Li , Wanning Yu , Irene Moroz , Yongxin Li , Yuanjin Zheng","doi":"10.1016/j.chaos.2025.117735","DOIUrl":"10.1016/j.chaos.2025.117735","url":null,"abstract":"<div><div>Wide chaos-based applications require flexible regulation in a dynamical system; consequently, the non-bifurcation parameter becomes the focus of the system. In this work, two offset regulators are found in a 2D hyperchaotic map. The combination of two parameters realizes free hybrid offset boosting, including the attractor shift along the x-coordinate axis and along any other diagonal direction. Two regimes of multistability can also be defined by the parameters, where the 0-value parameter corresponds to the attractor self-reproducing, while the periodic distribution of one offset-regulator will also awaken the bistability. GOWIN FPGA-based circuit implementation verifies the flexible offset boosting driven by the two parameters.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117735"},"PeriodicalIF":5.6,"publicationDate":"2025-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784729","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 : 2025-12-16DOI: 10.1016/j.chaos.2025.117748
Chunpeng Du , Fei Fang , Alfonso de Miguel-Arribas , Yikang Lu , Yanan Wang , Xin Pan , Yamir Moreno
Understanding how cooperation emerges and persists is a central challenge in the evolutionary dynamics of social and biological systems. Most prior studies have examined cooperation through pairwise interactions, yet real-world interactions often involve groups and higher-order structures. Reputation is a key mechanism for guiding strategic behavior in such contexts, but its role in higher-order networks remains underexplored. In this study, we introduce an edge-based reputation mechanism, incorporating both direct and indirect reputation, to investigate the evolution of cooperation in simplicial complexes. Our results show that coupling reputation mechanisms with higher-order network structures strongly promotes cooperation, with direct reputation exerting a stronger influence than indirect reputation. Moreover, we reveal a nonlinear interplay between network topology and reputation mechanisms, highlighting how multi-level structures shape collective outcomes. These findings provide a novel theoretical framework for understanding cooperation in complex social systems.
{"title":"Edge-based reputation promotes cooperation in simplicial complexes","authors":"Chunpeng Du , Fei Fang , Alfonso de Miguel-Arribas , Yikang Lu , Yanan Wang , Xin Pan , Yamir Moreno","doi":"10.1016/j.chaos.2025.117748","DOIUrl":"10.1016/j.chaos.2025.117748","url":null,"abstract":"<div><div>Understanding how cooperation emerges and persists is a central challenge in the evolutionary dynamics of social and biological systems. Most prior studies have examined cooperation through pairwise interactions, yet real-world interactions often involve groups and higher-order structures. Reputation is a key mechanism for guiding strategic behavior in such contexts, but its role in higher-order networks remains underexplored. In this study, we introduce an edge-based reputation mechanism, incorporating both direct and indirect reputation, to investigate the evolution of cooperation in simplicial complexes. Our results show that coupling reputation mechanisms with higher-order network structures strongly promotes cooperation, with direct reputation exerting a stronger influence than indirect reputation. Moreover, we reveal a nonlinear interplay between network topology and reputation mechanisms, highlighting how multi-level structures shape collective outcomes. These findings provide a novel theoretical framework for understanding cooperation in complex social systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117748"},"PeriodicalIF":5.6,"publicationDate":"2025-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784745","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 : 2025-12-16DOI: 10.1016/j.chaos.2025.117777
Wei Xiong , Yuan Gong , Zhuanxia Li , Ying-Xia Wu , Yan-Xue Cheng , Jiaojiao Chen
We propose a coupled nonlinear cavity–magnon system, consisting of two cavities, a second-order nonlinear element, and a yttrium-iron-garnet (YIG) sphere that supports Kerr magnons, to realize the sought-after highly tunable nonreciprocity. We first derive the critical condition for switching between reciprocity and nonreciprocity in the absence of magnon driving, and then numerically demonstrate that strong magnonic nonreciprocity can be achieved by violating this critical condition. When magnons are driven, we show that strong magnonic nonreciprocity can also be attained even within the critical condition. Compared to previous studies, the introduced nonlinear element not only relaxes the critical condition in both the weak and strong coupling regimes, but also offers an alternative means to tune magnonic nonreciprocity. Our work provides a promising avenue for realizing highly tunable nonreciprocal devices based on Kerr magnons.
{"title":"Nonreciprocal bistability in coupled nonlinear cavity magnonics","authors":"Wei Xiong , Yuan Gong , Zhuanxia Li , Ying-Xia Wu , Yan-Xue Cheng , Jiaojiao Chen","doi":"10.1016/j.chaos.2025.117777","DOIUrl":"10.1016/j.chaos.2025.117777","url":null,"abstract":"<div><div>We propose a coupled nonlinear cavity–magnon system, consisting of two cavities, a second-order nonlinear element, and a yttrium-iron-garnet (YIG) sphere that supports Kerr magnons, to realize the sought-after highly tunable nonreciprocity. We first derive the critical condition for switching between reciprocity and nonreciprocity in the absence of magnon driving, and then numerically demonstrate that strong magnonic nonreciprocity can be achieved by violating this critical condition. When magnons are driven, we show that strong magnonic nonreciprocity can also be attained even within the critical condition. Compared to previous studies, the introduced nonlinear element not only relaxes the critical condition in both the weak and strong coupling regimes, but also offers an alternative means to tune magnonic nonreciprocity. Our work provides a promising avenue for realizing highly tunable nonreciprocal devices based on Kerr magnons.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117777"},"PeriodicalIF":5.6,"publicationDate":"2025-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784736","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 : 2025-12-16DOI: 10.1016/j.chaos.2025.117741
Lianghui Qu , Lin Du , Honghui Zhang , Zichen Deng
The magnetic flux variable based on the working principle of magnetic-controlled memristors is introduced to address the electromagnetic induction problem caused by electromagnetic activities inside and outside the nervous system, providing the possibility of exploring electromagnetic regulation of network spatiotemporal behavior from the perspective of neurodynamics. This paper systematically detects the feasibility and effectiveness of electromagnetic stimulation in regulating spiral wave evolution based on a constructed two-dimensional regular neuronal network. After the negative feedback effect of electromagnetic stimulation on neuronal activity is confirmed, the regulation of periodic electromagnetic stimulation on spiral wave dynamics is quantitatively discussed with the help of three network metrics, namely spiking ratio, average membrane potential and average Hamilton energy. The results show that for two different regulatory schemes, the periodic stimulation can induce the drift or disappearance of spiral waves, which can be elucidated through the bifurcations of neuronal dynamics. Particularly, local stimulation makes the stimulated region act as a barrier by inhibiting the neuronal activity, thereby inducing the wave head to drift along a specific path or the spiral pattern to transition into a fascinating double spiral wave. These novel results of constrained drift and transition of splitting into two are first detected, enriching the dynamics of spiral waves and providing clinical guidance.
{"title":"Constrained drift and splitting transition of electromagnetically regulated spiral waves","authors":"Lianghui Qu , Lin Du , Honghui Zhang , Zichen Deng","doi":"10.1016/j.chaos.2025.117741","DOIUrl":"10.1016/j.chaos.2025.117741","url":null,"abstract":"<div><div>The magnetic flux variable based on the working principle of magnetic-controlled memristors is introduced to address the electromagnetic induction problem caused by electromagnetic activities inside and outside the nervous system, providing the possibility of exploring electromagnetic regulation of network spatiotemporal behavior from the perspective of neurodynamics. This paper systematically detects the feasibility and effectiveness of electromagnetic stimulation in regulating spiral wave evolution based on a constructed two-dimensional regular neuronal network. After the negative feedback effect of electromagnetic stimulation on neuronal activity is confirmed, the regulation of periodic electromagnetic stimulation on spiral wave dynamics is quantitatively discussed with the help of three network metrics, namely spiking ratio, average membrane potential and average Hamilton energy. The results show that for two different regulatory schemes, the periodic stimulation can induce the drift or disappearance of spiral waves, which can be elucidated through the bifurcations of neuronal dynamics. Particularly, local stimulation makes the stimulated region act as a barrier by inhibiting the neuronal activity, thereby inducing the wave head to drift along a specific path or the spiral pattern to transition into a fascinating double spiral wave. These novel results of constrained drift and transition of splitting into two are first detected, enriching the dynamics of spiral waves and providing clinical guidance.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117741"},"PeriodicalIF":5.6,"publicationDate":"2025-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784735","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 : 2025-12-16DOI: 10.1016/j.chaos.2025.117749
Peng Zhang, Yongxiang Zhang
Exploring the mechanisms of extreme events and predicting extreme events are two challenging tasks in different scientific fields. The study of the mechanisms from the perspective of global analysis has received little attention. We make an attempt to establish a link between a type of nested basin structure and occurrence of extreme events. By considering a single-degree-of-freedom spur gear system with nonsmooth factors, it is found that the system exhibits a nested basin of attraction structure for different types of coexisting attractors under certain parameters. The meshing states corresponding to coexisting attractors, including drive-side tooth engaging, tooth disengagement and back-side tooth contacting, are identified. Using the basin boundary saddle order and manifold analysis methods, the complex yet organized structure of the nested basin of attraction is analyzed. We quantify the hierarchy of the nested boundaries through box entropy and evaluate the reliability of the safe operating state using basin stability estimation. The number of nested basins is also analyzed through a series of saddle-node bifurcations. Furthermore, noise-induced multistable transition and extreme events are explored by the probability density function, effective energy landscapes and stability landscape. Different noise intensities induce distinct multistate transitions, which are correlated with the nested basin structure. It is found that the large-amplitude attractors (back-side tooth contacting) located at the outermost layer of the nested basin structure are the primary factors leading to the occurrence of extreme events. Finally, a reservoir computing machine learning is able to successfully predict the transition point to extreme events based on partial information of time series. Overall, the results provide a unifying framework that bridges mechanisms and prediction of extreme events in nonsmooth systems, which helps with the dynamic optimization and design of gear systems from a multidisciplinary perspective.
{"title":"Nested basins of attraction and noise-induced extreme events in a nonsmooth system","authors":"Peng Zhang, Yongxiang Zhang","doi":"10.1016/j.chaos.2025.117749","DOIUrl":"10.1016/j.chaos.2025.117749","url":null,"abstract":"<div><div>Exploring the mechanisms of extreme events and predicting extreme events are two challenging tasks in different scientific fields. The study of the mechanisms from the perspective of global analysis has received little attention. We make an attempt to establish a link between a type of nested basin structure and occurrence of extreme events. By considering a single-degree-of-freedom spur gear system with nonsmooth factors, it is found that the system exhibits a nested basin of attraction structure for different types of coexisting attractors under certain parameters. The meshing states corresponding to coexisting attractors, including drive-side tooth engaging, tooth disengagement and back-side tooth contacting, are identified. Using the basin boundary saddle order and manifold analysis methods, the complex yet organized structure of the nested basin of attraction is analyzed. We quantify the hierarchy of the nested boundaries through box entropy and evaluate the reliability of the safe operating state using basin stability estimation. The number of nested basins is also analyzed through a series of saddle-node bifurcations. Furthermore, noise-induced multistable transition and extreme events are explored by the probability density function, effective energy landscapes and stability landscape. Different noise intensities induce distinct multistate transitions, which are correlated with the nested basin structure. It is found that the large-amplitude attractors (back-side tooth contacting) located at the outermost layer of the nested basin structure are the primary factors leading to the occurrence of extreme events. Finally, a reservoir computing machine learning is able to successfully predict the transition point to extreme events based on partial information of time series. Overall, the results provide a unifying framework that bridges mechanisms and prediction of extreme events in nonsmooth systems, which helps with the dynamic optimization and design of gear systems from a multidisciplinary perspective.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"204 ","pages":"Article 117749"},"PeriodicalIF":5.6,"publicationDate":"2025-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784734","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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