Physica D: Nonlinear Phenomena最新文献_第6页

Koopman representations with irregular time intervals 不规则时间间隔的Koopman表示

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-02-01 Epub Date: 2025-12-01 DOI: 10.1016/j.physd.2025.135062

Younghwan Cho , Richard Sowers

引用次数: 0

Chattering phenomenon in high-side gate driver circuits with degraded capacitors 退化电容高侧栅极驱动电路中的颤振现象

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-02-01 Epub Date: 2025-12-13 DOI: 10.1016/j.physd.2025.135076

Daisuke Ito , Yusuke Goto , Kaito Kato , Hiroyuki Asahara , Takuji Kousaka

{"title":"Chattering phenomenon in high-side gate driver circuits with degraded capacitors","authors":"Daisuke Ito , Yusuke Goto , Kaito Kato , Hiroyuki Asahara , Takuji Kousaka","doi":"10.1016/j.physd.2025.135076","DOIUrl":"10.1016/j.physd.2025.135076","url":null,"abstract":"<div><div>Switching power conversion circuits are of great importance within a wide variety of applications, including automotive, wearable device, and so on. Their widespread use is largely due to their high efficiency and small size. However, when such circuits are subject to capacitor degradation, undesired turbulence and a degradation in the overall performance of the converter circuit can be observed. This paper investigates the effect of capacitor degradation on the occurrence of chattering in high-side gate driver circuits within power conversion systems. We introduce a simple mathematical model of a high-side gate driver circuit, which incorporates a hysteresis characteristic as a result of the under-voltage lockout (UVLO) function. We analytically derived the conditions in which chattering events occur and how the number of switching events changes. These analytical expressions were achieved by analyzing the period of the return map and identifying the thresholds that can be used to characterize the different behaviors that the system exhibits. In this work, we obtain a relationship between capacitor degradation and the chattering events.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"486 ","pages":"Article 135076"},"PeriodicalIF":2.9,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamic entrainment of neuronal spiking: A phase plane analysis and a data-driven approach 神经元尖峰的动态夹带：相平面分析和数据驱动的方法

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-02-01 Epub Date: 2025-12-08 DOI: 10.1016/j.physd.2025.135071

Lawan Wijayasooriya , Soheil Saghafi , Emel Khan , Pejman Sanaei

{"title":"Dynamic entrainment of neuronal spiking: A phase plane analysis and a data-driven approach","authors":"Lawan Wijayasooriya , Soheil Saghafi , Emel Khan , Pejman Sanaei","doi":"10.1016/j.physd.2025.135071","DOIUrl":"10.1016/j.physd.2025.135071","url":null,"abstract":"<div><div>Precise timing in neuronal spiking is important for effective signal processing and transmission in excitable systems. Disruptions to the timing accuracy of neuronal synchronization can impair brain function and contribute to neurodegenerative diseases such as Huntington’s disease. In this work, we employ a technique called “dynamic entrainment” to determine the optimal time gap between successive input pulses required to bring and maintain the system in a 1:1 entrainment regime. Unlike the previous study that applied dynamic entrainment to the four-dimensional Hodgkin-Huxley model, we adopt the approach for the two-dimensional Morris-Lecar model. The reduced dimensionality of Morris-Lecar makes it computationally efficient while still capturing essential features of excitability. It also facilitates straightforward phase plane analysis providing geometric insights into the success of dynamic entrainment. It demonstrates that dynamic entrainment allows achieving and sustaining 1:1 entrainment when fixed periodic forcing fails. We also explore the use of dynamic entrainment at higher-order resonances within the Arnold tongue. By dynamically changing the inter-pulse interval, we achieved 1:1 entrainment, and the effective period of the selected point shifted to an originally 1:1 region.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"486 ","pages":"Article 135071"},"PeriodicalIF":2.9,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Exploring complexity of a Frenkel-Kontorova-Type atomic chain 探索frenkel - kontorova型原子链的复杂性

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-02-01 Epub Date: 2025-12-08 DOI: 10.1016/j.physd.2025.135072

Ozgur Afsar , Sevda Saltik , Fatimat Bughluyeva

{"title":"Exploring complexity of a Frenkel-Kontorova-Type atomic chain","authors":"Ozgur Afsar , Sevda Saltik , Fatimat Bughluyeva","doi":"10.1016/j.physd.2025.135072","DOIUrl":"10.1016/j.physd.2025.135072","url":null,"abstract":"<div><div>Spatially ordered patterns that may emerge in various natural phenomena as the result of an evolution cause an increasing order within the system until forming a stationary state. One of special types of such patterns, highly complex cantor sets, arises as a result of successive bifurcations of trajectories of a dynamical system throughout its evolution in the control parameter space. It is well known that evolution towards such ordered structures requires a decrease in the entropy of the system, which can lead to an increase in the degree of complexity of the phase space. Although there are many entropy-based complexity measures in the literature, exploring the appropriate entropy that is capable of explaining such an evolution process and defining the degree of complexity of the structure of the physical system is one of the main research topics in complexity science. We evaluated possible total energy values of Frenkel-Kontorova-type independent chains with a free boundary condition at static equilibrium. We show that the ensemble of the total energies represents period doublings and chaotic band-mergings if one changes the control parameter, which is the value of the amplitude of the substrate potential. The periods of the total energies accumulate at a critical value, causing the emergence of self-similar and spatially organized fractal patterns. Using the energy distributions in the control parameter space, we also calculate entropy-based complexity measures: Shannon, Kullback-Leibler and <em>q</em>-Renormalized entropies. We show that the <em>q</em>-renormalized entropy behaves according to the well-known low-entropy criteria of self-organization, whereas the Shannon and Kullback-Leibler entropies cannot. This implies that the <em>q</em>-renormalized entropy is an appropriate entropy to explore the emergence and disappearance of spatially organized fractal energy patterns and to evaluate their complexities.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"486 ","pages":"Article 135072"},"PeriodicalIF":2.9,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Applying canonical transformations to the nonlinear Schrödinger equation for modeling fiber optic communications 应用正则变换对非线性Schrödinger方程进行光纤通信建模

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-02-01 Epub Date: 2025-11-25 DOI: 10.1016/j.physd.2025.135049

Sergey Dremov , Dmitry Kachulin , Igor Chekhovskoy , Oleg Sidelnikov , Alexey Redyuk , Alexander Dyachenko

引用次数: 0

IADNet: A neural network for discovering particle interactions from trajectory data 从轨迹数据中发现粒子相互作用的神经网络

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-02-01 Epub Date: 2025-12-04 DOI: 10.1016/j.physd.2025.135057

Ru Geng , Yixian Gao , Jian Zu , Hong-Kun Zhang

{"title":"IADNet: A neural network for discovering particle interactions from trajectory data","authors":"Ru Geng , Yixian Gao , Jian Zu , Hong-Kun Zhang","doi":"10.1016/j.physd.2025.135057","DOIUrl":"10.1016/j.physd.2025.135057","url":null,"abstract":"<div><div>Deciphering interparticle interactions remains fundamental to unraveling complex systems across physics, chemistry, and biological sciences. Conventional approaches often suffer from prior knowledge reliance or insufficient interpretability in characterizing interactions. To overcome these limitations, this study proposes the Interaction Discovery Neural Network (IADNet), which integrates graph structure learning with physics-constrained strategies to directly reconstruct interaction graph topologies from particle trajectories while establishing explicit mapping relationships with actual physical system configurations. To validate its universality, we tested IADNet across four different systems spanning classical mechanics, molecular chemistry, biological models, and lattice systems. Experimental results demonstrate that IADNet can accurately reconstruct spring connection topologies and estimate elastic coefficient ratios, effectively identify chemical bonds in molecules, reveal hidden long-range interactions in DNA models and restore base sequence arrangements, and detect anomalous patterns in lattice systems. These findings underscore IADNet’s potential in multiparticle system research.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"486 ","pages":"Article 135057"},"PeriodicalIF":2.9,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The evasion of tipping: Pattern formation near a Turing-fold bifurcation 引爆的回避：图灵褶皱分岔附近的模式形成

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-02-01 Epub Date: 2025-11-29 DOI: 10.1016/j.physd.2025.135019

Dock Staal, Arjen Doelman

{"title":"The evasion of tipping: Pattern formation near a Turing-fold bifurcation","authors":"Dock Staal, Arjen Doelman","doi":"10.1016/j.physd.2025.135019","DOIUrl":"10.1016/j.physd.2025.135019","url":null,"abstract":"<div><div>Model studies indicate that many climate subsystems, especially ecosystems, may be vulnerable to <em>tipping</em>: a <em>catastrophic process</em> in which a system, driven by gradually changing external factors, abruptly transitions (or <em>collapses</em>) from a preferred state to a less desirable one. In ecosystems, the emergence of spatial patterns has traditionally been interpreted as a possible <em>early warning signal</em> for tipping. More recently, however, pattern formation has been proposed to serve a fundamentally different role: as a mechanism through which an (eco)system may <em>evade tipping</em> by forming stable patterns that persist beyond the tipping point.</div><div>Mathematically, tipping is typically associated with a saddle–node bifurcation, while pattern formation is normally driven by a Turing bifurcation. Therefore, we study the co-dimension 2 Turing-fold bifurcation and investigate the question: <em>When can patterns initiated by the Turing bifurcation enable a system to evade tipping?</em></div><div>We develop our approach for a class of phase-field models and subsequently apply it to <span><math><mi>n</mi></math></span>-component reaction–diffusion systems – a class of PDEs often used in ecosystem modeling. We demonstrate that a two-component system of modulation equations governs pattern formation near a Turing-fold bifurcation, and that tipping will be evaded when a critical parameter, <span><math><mi>β</mi></math></span>, is positive. We derive explicit expressions for <span><math><mi>β</mi></math></span>, allowing one to determine whether a given system may evade tipping. Moreover, we show numerically that this system exhibits rich behavior, ranging from stable, stationary, spatially quasi-periodic patterns to irregular, spatio-temporal, chaos-like dynamics.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"486 ","pages":"Article 135019"},"PeriodicalIF":2.9,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Spectral instability of peakons for a class of cubic quasilinear shallow-water equations 一类三次拟线性浅水方程峰的谱不稳定性

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-02-01 Epub Date: 2025-12-02 DOI: 10.1016/j.physd.2025.135060

Qinwei Huang, Juan Huang

{"title":"Spectral instability of peakons for a class of cubic quasilinear shallow-water equations","authors":"Qinwei Huang, Juan Huang","doi":"10.1016/j.physd.2025.135060","DOIUrl":"10.1016/j.physd.2025.135060","url":null,"abstract":"<div><div>This paper focuses on a model with homogeneous cubic nonlinearity, which can be derived from classical shallow water theory as an asymptotic model. It is known as the mCH-Novikov equation, as it combines the integrable modified Camassa-Holm (mCH) equation and the Novikov equation. We systematically characterize the point spectrum of the peakon solutions and aim to prove spectral and linear instability on <span><math><mrow><msup><mi>L</mi><mn>2</mn></msup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> of peakons. To this end, we extend the corresponding linearized operator from <span><math><mrow><msup><mi>H</mi><mn>1</mn></msup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> to the larger space <span><math><mrow><msup><mi>L</mi><mn>2</mn></msup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span>, since unstable eigenfunctions may reside in <span><math><mrow><msup><mi>L</mi><mn>2</mn></msup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow><mo>∖</mo><msup><mi>H</mi><mn>1</mn></msup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span>, and <span><math><mrow><msup><mi>L</mi><mn>2</mn></msup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> provides the natural framework for spectral instability analysis. Subsequently, we numerically verify these theoretical findings through spectral stability analysis and time-stepping numerical simulations of the model across different parameter regimes. Specifically, we analyze the parametric dependence of spectral stability to investigate how the mCH and Novikov terms affect the dynamics of the evolution equations.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"486 ","pages":"Article 135060"},"PeriodicalIF":2.9,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Multi-pole solitons and breathers with spatially periodic modulation induced by the helicoidal spin-orbit coupling 螺旋自旋轨道耦合诱导的空间周期调制多极孤子和呼吸子

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-02-01 Epub Date: 2025-12-02 DOI: 10.1016/j.physd.2025.135063

Cui-Cui Ding , Qin Zhou , B.A. Malomed

{"title":"Multi-pole solitons and breathers with spatially periodic modulation induced by the helicoidal spin-orbit coupling","authors":"Cui-Cui Ding , Qin Zhou , B.A. Malomed","doi":"10.1016/j.physd.2025.135063","DOIUrl":"10.1016/j.physd.2025.135063","url":null,"abstract":"<div><div>We report analytical solutions for diverse multi-pole (MP) soliton and breather states in spatially inhomogeneous binary Bose-Einstein condensates (BECs) with the helicoidally shaped spin-orbit coupling (SOC), including MP stripe solitons on zero background, MP beating stripe solitons on a nonzero plane-wave background, as well as MP beating stripe solitons and MP breathers on periodic backgrounds. The results indicate that modulation effects produced by the helicoidal SOC not only induce stripe patterns in MP solitons, but also generate the spatially-periodic background for the MP beating stripe solitons and breathers. An asymptotic analysis reveals curved trajectories with a logarithmically increasing soliton/breather separation for these MP excitations, fundamentally distinguishing them from periodic trajectories of bound-state solitons/breathers or straight trajectories of conventional multi-soliton/breather sets. With complex periodic structures in individual components, the total density distribution is nonperiodic, due to their configurations which are out-of-phase with respect to the two components. We further examine several degenerate structures of MP solitons and breathers under varying SOC and spectral parameters. Numerical simulations validate the analytical results and demonstrate stability of these MP excitations. These findings may facilitate deeper understanding of soliton/breather interactions beyond conventional multi-soliton systems and bound-state complexes in SOC BEC.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"486 ","pages":"Article 135063"},"PeriodicalIF":2.9,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Discrete Local Active Memristive HR and FHN Coupled Neuron Model and FPGA Implementation 离散局部有源记忆电阻HR和FHN耦合神经元模型及FPGA实现

IF 2.9 3区数学

Physica D: Nonlinear Phenomena Pub Date : 2026-02-01 Epub Date: 2025-12-09 DOI: 10.1016/j.physd.2025.135078

Jialong Wang, Shaohui Yan, Jiandong Zhang

引用次数: 0