Pub Date : 2025-11-30DOI: 10.1016/j.physleta.2025.131209
Xin Wang
In the paper, we study a fiber optical model namely the Radhakrishnan-Kundu-Lakshmanan equation possessing a multiplicative white noise. Our results include a detailed classification of stochastic exact single traveling wave propagation patterns, parameter topological stability of these patterns, the averaging effects of the random noise. In particular, due to the difficulty of giving exact solutions for high order nonlinear cases, we give the approximate solutions by the renormalization method and simulations of dynamical behavior to show completely the sensitivity and dependence of amplitude, period and frequency on parameters and initial values. In final, we use numerical simulations to show the change of dynamical behavior from order to chaos as the parameters changing. For example, when the strength coefficient of external force becomes bigger, the degree of chaos will become bigger. Our results cover a gap in the study for the model.
{"title":"A comprehensive study on stochastic and chaotical dynamics for the random Radhakrishnan-Kundu-Lakshmanan optical model","authors":"Xin Wang","doi":"10.1016/j.physleta.2025.131209","DOIUrl":"10.1016/j.physleta.2025.131209","url":null,"abstract":"<div><div>In the paper, we study a fiber optical model namely the Radhakrishnan-Kundu-Lakshmanan equation possessing a multiplicative white noise. Our results include a detailed classification of stochastic exact single traveling wave propagation patterns, parameter topological stability of these patterns, the averaging effects of the random noise. In particular, due to the difficulty of giving exact solutions for high order nonlinear cases, we give the approximate solutions by the renormalization method and simulations of dynamical behavior to show completely the sensitivity and dependence of amplitude, period and frequency on parameters and initial values. In final, we use numerical simulations to show the change of dynamical behavior from order to chaos as the parameters changing. For example, when the strength coefficient of external force becomes bigger, the degree of chaos will become bigger. Our results cover a gap in the study for the model.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"567 ","pages":"Article 131209"},"PeriodicalIF":2.6,"publicationDate":"2025-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145692789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-30DOI: 10.1016/j.physleta.2025.131220
Nan Zhang, Zheng-Zhe Lin, Xi Chen
Recently, a novel two-dimensional (2D) layered material, MoSi2N4, was successfully synthesized [Science369, 670 (2020)], attracting considerable attention from the scientific research community. Based on this discovery, we employed first-principles calculations to investigate lanthanide elements and predicted six stable MSi2N4 (M = Sm, Eu, Gd, Tb, Dy, and Ho) monolayers. Band structure calculations revealed that SmSi2N4, EuSi2N4, GdSi2N4, and HoSi2N4 monolayers are half-metals, while TbSi2N4 and DySi2N4 monolayers exhibited antiferromagnetic ordering. Under tensile strain, we constrained the magnetic moments within the XY plane and the Z axis, and calculated the stress, exchange coupling, magnetic anisotropy. Berezinskii–Kosterlitz–Thouless phase transition for XY-type magnetics and Curie temperature for Z-type magnetics were studied to exhibit the rich magnetism. This work not only enriches the 2D MA2Z4 family but also provides deeper insight into the relationship between crystal structure and magnetism, offering theoretical guidance for the design of stable ferromagnetic 2D materials with potential applications in spintronics.
{"title":"Rich magnetism and strain modulation of 2D rare-earth MSi2N4 monolayers","authors":"Nan Zhang, Zheng-Zhe Lin, Xi Chen","doi":"10.1016/j.physleta.2025.131220","DOIUrl":"10.1016/j.physleta.2025.131220","url":null,"abstract":"<div><div>Recently, a novel two-dimensional (2D) layered material, MoSi<sub>2</sub>N<sub>4</sub>, was successfully synthesized [<em>Science</em> <strong>369</strong>, 670 (2020)], attracting considerable attention from the scientific research community. Based on this discovery, we employed first-principles calculations to investigate lanthanide elements and predicted six stable MSi<sub>2</sub>N<sub>4</sub> (M = Sm, Eu, Gd, Tb, Dy, and Ho) monolayers. Band structure calculations revealed that SmSi<sub>2</sub>N<sub>4</sub>, EuSi<sub>2</sub>N<sub>4</sub>, GdSi<sub>2</sub>N<sub>4</sub>, and HoSi<sub>2</sub>N<sub>4</sub> monolayers are half-metals, while TbSi<sub>2</sub>N<sub>4</sub> and DySi<sub>2</sub>N<sub>4</sub> monolayers exhibited antiferromagnetic ordering. Under tensile strain, we constrained the magnetic moments within the XY plane and the Z axis, and calculated the stress, exchange coupling, magnetic anisotropy. Berezinskii–Kosterlitz–Thouless phase transition for XY-type magnetics and Curie temperature for Z-type magnetics were studied to exhibit the rich magnetism. This work not only enriches the 2D MA<sub>2</sub>Z<sub>4</sub> family but also provides deeper insight into the relationship between crystal structure and magnetism, offering theoretical guidance for the design of stable ferromagnetic 2D materials with potential applications in spintronics.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"567 ","pages":"Article 131220"},"PeriodicalIF":2.6,"publicationDate":"2025-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145692724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-30DOI: 10.1016/j.physleta.2025.131213
D.N. Makarov, M.K. Eseev, E.S. Gusarevich
The use of ultrashort X-ray pulses in studying the structure of matter has recently become particularly relevant due to the emergence of new sources of such pulses. Pulse duration is typically rarely considered in structural studies, and the influence of its shape remains virtually unexplored. This paper demonstrates that, in the scattering of ultrashort X-ray pulses, pulse shape is an important characteristic for attosecond pulses. It is also demonstrated that the influence of pulse shape on scattering spectra can be represented in a simple analytical form. The scattering of three ultrashort pulses of different shapes by a diamond crystal with NV centers is considered: Gaussian, Mexican hat, and rectangular pulses.
{"title":"The influence of the shape of ultrashort X-ray pulses on diffraction in crystals","authors":"D.N. Makarov, M.K. Eseev, E.S. Gusarevich","doi":"10.1016/j.physleta.2025.131213","DOIUrl":"10.1016/j.physleta.2025.131213","url":null,"abstract":"<div><div>The use of ultrashort X-ray pulses in studying the structure of matter has recently become particularly relevant due to the emergence of new sources of such pulses. Pulse duration is typically rarely considered in structural studies, and the influence of its shape remains virtually unexplored. This paper demonstrates that, in the scattering of ultrashort X-ray pulses, pulse shape is an important characteristic for attosecond pulses. It is also demonstrated that the influence of pulse shape on scattering spectra can be represented in a simple analytical form. The scattering of three ultrashort pulses of different shapes by a diamond crystal with NV centers is considered: Gaussian, Mexican hat, and rectangular pulses.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"568 ","pages":"Article 131213"},"PeriodicalIF":2.6,"publicationDate":"2025-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145693128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-29DOI: 10.1016/j.physleta.2025.131219
E.M. Gromov , B.A. Malomed
We introduce an extended nonlinear Lugiato-Lefever equation (LLE) with the pseudo-stimulated-Raman-scattering (pseudo-SRS) cubic term, linear damping/gain, and spatial inhomogeneous (weekly or strongly localized) pump. The LLE is derived, in the extended adiabatic approximation, from the underlying Zakharov’s system (ZS), which includes a viscosity term acting on its low-frequency (LF) component and the pump supporting the high-frequency (HF) one. Dynamics of quasi-solitons in the model is addressed by means of analytical and numerical methods. The sech-based approximation for the quasi-soliton predicts it as a stable fixed point (FP) of the system of evolution equations for the system’s moments (the HF norm, wave momentum, and center-of-mass coordinate). The FP’s attraction basin is identified too. The prediction is corroborated by direct simulations of the full LLE. A quasi-singular mode, supported by the delta-functional pump, is briefly considered too.
{"title":"Quasi-confined modes produced by the Lugiato-Lefever model with a localized pump and the pseudo-Raman term","authors":"E.M. Gromov , B.A. Malomed","doi":"10.1016/j.physleta.2025.131219","DOIUrl":"10.1016/j.physleta.2025.131219","url":null,"abstract":"<div><div>We introduce an extended nonlinear Lugiato-Lefever equation (LLE) with the <em>pseudo-stimulated-Raman-scattering</em> (pseudo-SRS) cubic term, linear damping/gain, and spatial inhomogeneous (weekly or strongly localized) pump. The LLE is derived, in the extended adiabatic approximation, from the underlying Zakharov’s system (ZS), which includes a viscosity term acting on its low-frequency (LF) component and the pump supporting the high-frequency (HF) one. Dynamics of quasi-solitons in the model is addressed by means of analytical and numerical methods. The sech-based approximation for the quasi-soliton predicts it as a stable fixed point (FP) of the system of evolution equations for the system’s moments (the HF norm, wave momentum, and center-of-mass coordinate). The FP’s attraction basin is identified too. The prediction is corroborated by direct simulations of the full LLE. A quasi-singular mode, supported by the delta-functional pump, is briefly considered too.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"567 ","pages":"Article 131219"},"PeriodicalIF":2.6,"publicationDate":"2025-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145692794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-29DOI: 10.1016/j.physleta.2025.131211
Tran C. Phong , Tran N. Bich , Huynh V. Phuc
We present a theoretical investigation of the optical absorption coefficient (OAC) in spherical quantum dots (SQDs) described by the inversely quadratic Hellmann potential (IQHP). We analyze the OAC spectra for both intra- and inter-band transitions. The results reveal a rich structure of absorption peaks whose positions and intensities are strongly influenced by the orbital quantum number, the confinement radius r0, the potential depth V0, and the temperature. In particular, increasing r0 induces a red-shift of the absorption peaks together with a reduction in amplitude, whereas a larger V0 produces a blue-shift accompanied by non-monotonic variations in peak height. Temperature is found to suppress the absorption intensity due to thermal broadening of the occupation factor, while leaving the spectral positions unaffected. These findings provide a comprehensive picture of how confinement and external conditions govern the optical response of SQDs with IQHP, thereby offering useful guidelines for tailoring QD-based optoelectronic and photonic devices.
{"title":"Intra- and inter-band optical absorption in spherical quantum dots under inversely quadratic Hellmann potential","authors":"Tran C. Phong , Tran N. Bich , Huynh V. Phuc","doi":"10.1016/j.physleta.2025.131211","DOIUrl":"10.1016/j.physleta.2025.131211","url":null,"abstract":"<div><div>We present a theoretical investigation of the optical absorption coefficient (OAC) in spherical quantum dots (SQDs) described by the inversely quadratic Hellmann potential (IQHP). We analyze the OAC spectra for both intra- and inter-band transitions. The results reveal a rich structure of absorption peaks whose positions and intensities are strongly influenced by the orbital quantum number, the confinement radius <em>r</em><sub>0</sub>, the potential depth <em>V</em><sub>0</sub>, and the temperature. In particular, increasing <em>r</em><sub>0</sub> induces a red-shift of the absorption peaks together with a reduction in amplitude, whereas a larger <em>V</em><sub>0</sub> produces a blue-shift accompanied by non-monotonic variations in peak height. Temperature is found to suppress the absorption intensity due to thermal broadening of the occupation factor, while leaving the spectral positions unaffected. These findings provide a comprehensive picture of how confinement and external conditions govern the optical response of SQDs with IQHP, thereby offering useful guidelines for tailoring QD-based optoelectronic and photonic devices.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"567 ","pages":"Article 131211"},"PeriodicalIF":2.6,"publicationDate":"2025-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145692790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study proposes a simple graphene-based device capable of achieving a tunable plasmon-induced transparency and slow-light effect. This device comprises two graphene layers and a silicon-air grating. Under the excitation of the periodic silicon-air grating, the incident wave directly excites two radiative bright modes residing in the lower (strips G4, G5) and upper (strips G1, G2) graphene layers, respectively. In contrast, the graphene strip G3 in the upper layer, being weakly responsive to direct excitation, acts as the dark mode. When the resonant frequencies of the bright and dark modes match or approach each other, interference occurs between them, leading to the plasmon-induced transparency phenomenon. Additionally, this paper investigates the slow-light characteristics of the device, with results showing a maximum group index of 1168, indicating its potential applications in slow-light devices, photodetectors, and other fields. This work provides strong support for the theoretical foundation and design in related areas.
{"title":"Tunable slow-light device based on surface plasmon-induced transparency","authors":"Hongfei Yu , Hui Xu , Yuxuan Cheng , Zhiquan Chen , Zhurong Xu","doi":"10.1016/j.physleta.2025.131214","DOIUrl":"10.1016/j.physleta.2025.131214","url":null,"abstract":"<div><div>This study proposes a simple graphene-based device capable of achieving a tunable plasmon-induced transparency and slow-light effect. This device comprises two graphene layers and a silicon-air grating. Under the excitation of the periodic silicon-air grating, the incident wave directly excites two radiative bright modes residing in the lower (strips G4, G5) and upper (strips G1, G2) graphene layers, respectively. In contrast, the graphene strip G3 in the upper layer, being weakly responsive to direct excitation, acts as the dark mode. When the resonant frequencies of the bright and dark modes match or approach each other, interference occurs between them, leading to the plasmon-induced transparency phenomenon. Additionally, this paper investigates the slow-light characteristics of the device, with results showing a maximum group index of 1168, indicating its potential applications in slow-light devices, photodetectors, and other fields. This work provides strong support for the theoretical foundation and design in related areas.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"567 ","pages":"Article 131214"},"PeriodicalIF":2.6,"publicationDate":"2025-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-27DOI: 10.1016/j.physleta.2025.131192
Sayan Sircar
We investigate the phase transition from trivial to non-trivial phases in a one-dimensional Su-Schrieffer-Heeger (SSH) model in the presence of both quasi-periodic modulation and chiral disorder, drawn from a uniform distribution. We analytically determine the phase boundary, demonstrating its dependence on the quasi-periodic potential and the chiral disorder strengths. The localization of normal modes is characterized by the inverse participation ratio and fractal dimension, respectively. We compute energy-dependent mobility edges by analyzing the zero of the Lyapunov exponent associated with this transition. Our numerical results provide evidence for the emergence of a topological Anderson insulator within specific parameter ranges. We demonstrate that this topological insulating phase is robust against chiral disorder, even within a quasi-periodic environment. We also analytically derived the renormalization correction to bare topological mass, leading to band inversion, an important mechanism for the topological Anderson insulator. Notably, our numerical analysis reveals that the mobility edges begin to disappear as chiral disorder is introduced into the quasi-periodic system and the extended states become more critical. We analytically determine the expression for states separating the critical and localized phases in the presence of chiral disorder up to second-order perturbative expansion in chiral disorder strength. Furthermore, we uncover a re-entrant topological phase transition from a non-trivial to a trivial phase for certain values of the quasi-periodic modulation amplitude, with a fixed chiral disorder strength.
{"title":"Disorder driven topological phase transitions in 1D mechanical quasicrystals","authors":"Sayan Sircar","doi":"10.1016/j.physleta.2025.131192","DOIUrl":"10.1016/j.physleta.2025.131192","url":null,"abstract":"<div><div>We investigate the phase transition from trivial to non-trivial phases in a one-dimensional Su-Schrieffer-Heeger (SSH) model in the presence of both quasi-periodic modulation and chiral disorder, drawn from a uniform distribution. We analytically determine the phase boundary, demonstrating its dependence on the quasi-periodic potential and the chiral disorder strengths. The localization of normal modes is characterized by the inverse participation ratio and fractal dimension, respectively. We compute energy-dependent mobility edges by analyzing the zero of the Lyapunov exponent associated with this transition. Our numerical results provide evidence for the emergence of a topological Anderson insulator within specific parameter ranges. We demonstrate that this topological insulating phase is robust against chiral disorder, even within a quasi-periodic environment. We also analytically derived the renormalization correction to bare topological mass, leading to band inversion, an important mechanism for the topological Anderson insulator. Notably, our numerical analysis reveals that the mobility edges begin to disappear as chiral disorder is introduced into the quasi-periodic system and the extended states become more critical. We analytically determine the expression for states separating the critical and localized phases in the presence of chiral disorder up to second-order perturbative expansion in chiral disorder strength. Furthermore, we uncover a re-entrant topological phase transition from a non-trivial to a trivial phase for certain values of the quasi-periodic modulation amplitude, with a fixed chiral disorder strength.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"567 ","pages":"Article 131192"},"PeriodicalIF":2.6,"publicationDate":"2025-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145692723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-26DOI: 10.1016/j.physleta.2025.131189
Daria Shvalyuk , Anton Nazarov
In this paper, we consider the formation of droplets in the dimer model on a triangular lattice. The droplets in the dimer model are superposition polygons formed as two overlapping configurations of dimers: constant and movable. We have performed simulations of the system of dimers via the Monte Carlo method. We demonstrate that specific local energies of dimers and low temperatures lead to the emergence of a macroscopic droplet. The motivation for this study was the phenomenon of the formation of equilibrium droplets under certain conditions in the Ising model within the framework of the Dobrushin-Kotecký-Shlosman theory. Due to the deep connections between the Ising model and the dimer model, similar behavior was expected.
{"title":"Observation of droplets in dimer model on a triangular lattice","authors":"Daria Shvalyuk , Anton Nazarov","doi":"10.1016/j.physleta.2025.131189","DOIUrl":"10.1016/j.physleta.2025.131189","url":null,"abstract":"<div><div>In this paper, we consider the formation of droplets in the dimer model on a triangular lattice. The droplets in the dimer model are superposition polygons formed as two overlapping configurations of dimers: constant and movable. We have performed simulations of the system of dimers via the Monte Carlo method. We demonstrate that specific local energies of dimers and low temperatures lead to the emergence of a macroscopic droplet. The motivation for this study was the phenomenon of the formation of equilibrium droplets under certain conditions in the Ising model within the framework of the Dobrushin-Kotecký-Shlosman theory. Due to the deep connections between the Ising model and the dimer model, similar behavior was expected.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"567 ","pages":"Article 131189"},"PeriodicalIF":2.6,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145692795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In previous studies (Inaba and Kousaka, 2020; Inaba and Tsubone, 2020; Kato et al., 2022; Inaba et al., 2023), noteworthy bifurcation structures referred to as nested mixed-mode oscillations (MMOs) were discovered; these MMOs were seen to be generated via mixed-mode oscillation-incrementing bifurcations (MMOIBs) in driven Bonhoeffer-van der Pol (BVP) oscillators. An MMOIB represents a complex variety of the parent-daughter bifurcation process that can give rise to both unnested and nested MMOs. These works demonstrated the existence of at least doubly nested MMOs. In this study, we establish that successive triply and quadruply nested MMOs exist in driven BVP oscillators. While such phenomena are difficult to locate, we demonstrate that it is possible to observe them using a differential evolution method. We provide an expression that fully describes both triply and quadruply nested MMOs and present several regular time-series waveforms of highly nested MMOs. This Letter suggests that MMOs can be nested to arbitrarily high nesting depths.
在之前的研究中（Inaba and Kousaka, 2020; Inaba and Tsubone, 2020; Kato et al., 2022; Inaba et al., 2023），发现了值得注意的分岔结构，即嵌套混合模式振荡（MMOs）；这些MMOs被认为是通过驱动Bonhoeffer-van der Pol （BVP）振荡器中的混合模式振荡增量分岔（MMOIBs）产生的。MMOIB代表了父-子分支过程的复杂变体，可以产生非嵌套和嵌套mmo。这些作品至少证明了双重嵌套mmo的存在。在本研究中，我们建立了连续的三层和四层嵌套mmo存在于驱动的BVP振荡器中。虽然这种现象很难定位，但我们证明使用差分进化方法可以观察到它们。我们提供了一个完全描述三重和四层嵌套mmo的表达式，并给出了几种高度嵌套mmo的规则时间序列波形。这封信表明mmo可以嵌套到任意高的嵌套深度。
{"title":"Analysis of triply and quadruply nested mixed-mode oscillation bifurcations","authors":"Kaito Kato , Takuji Kousaka , Munehisa Sekikawa , Naohiko Inaba","doi":"10.1016/j.physleta.2025.131194","DOIUrl":"10.1016/j.physleta.2025.131194","url":null,"abstract":"<div><div>In previous studies (Inaba and Kousaka, 2020; Inaba and Tsubone, 2020; Kato et al., 2022; Inaba et al., 2023), noteworthy bifurcation structures referred to as nested mixed-mode oscillations (MMOs) were discovered; these MMOs were seen to be generated via mixed-mode oscillation-incrementing bifurcations (MMOIBs) in driven Bonhoeffer-van der Pol (BVP) oscillators. An MMOIB represents a complex variety of the parent-daughter bifurcation process that can give rise to both unnested and nested MMOs. These works demonstrated the existence of at least doubly nested MMOs. In this study, we establish that successive triply and quadruply nested MMOs exist in driven BVP oscillators. While such phenomena are difficult to locate, we demonstrate that it is possible to observe them using a differential evolution method. We provide an expression that fully describes both triply and quadruply nested MMOs and present several regular time-series waveforms of highly nested MMOs. This Letter suggests that MMOs can be nested to arbitrarily high nesting depths.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"566 ","pages":"Article 131194"},"PeriodicalIF":2.6,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145682156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-25DOI: 10.1016/j.physleta.2025.131181
Jian-Bing Zhang, Qi Chen
In this paper, we address whether perturbed soliton (p-soliton) equations inherit symmetries and their associated Lie algebraic formulations (LAF) from their original counterparts. To this end, we explore in detail the relationship between recursion operators and their perturbations and develop a general framework for the LAF of symmetries. A concrete application is presented using the AKNS-Ma equations associated with so(3, ). For both the AKNS-Ma equation and its perturbation, three distinct types of symmetries are constructed, and the corresponding Lie algebraic relations among them are established. All these indicate that the symmetry algebras of the original systems can be inherited by their perturbed counterparts.
{"title":"Lie algebraic formulation of symmetries for the perturbed AKNS-Ma equations related to so(3, R)","authors":"Jian-Bing Zhang, Qi Chen","doi":"10.1016/j.physleta.2025.131181","DOIUrl":"10.1016/j.physleta.2025.131181","url":null,"abstract":"<div><div>In this paper, we address whether perturbed soliton (p-soliton) equations inherit symmetries and their associated Lie algebraic formulations (LAF) from their original counterparts. To this end, we explore in detail the relationship between recursion operators and their perturbations and develop a general framework for the LAF of symmetries. A concrete application is presented using the AKNS-Ma equations associated with so(3, <span><math><mi>R</mi></math></span>). For both the AKNS-Ma equation and its perturbation, three distinct types of symmetries are constructed, and the corresponding Lie algebraic relations among them are established. All these indicate that the symmetry algebras of the original systems can be inherited by their perturbed counterparts.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"566 ","pages":"Article 131181"},"PeriodicalIF":2.6,"publicationDate":"2025-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145682155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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