Chaos最新文献 - Book学术

Length-scale competition in the nonlinear Dirac equation under spatially periodic potential. 空间周期势下非线性狄拉克方程的长度尺度竞争。

IF 3.3 2区数学

Chaos Pub Date : 2026-10-01 DOI: 10.1063/5.0343604

David Mellado-Alcedo, Niurka R Quintero

{"title":"Length-scale competition in the nonlinear Dirac equation under spatially periodic potential.","authors":"David Mellado-Alcedo, Niurka R Quintero","doi":"10.1063/5.0343604","DOIUrl":"https://doi.org/10.1063/5.0343604","url":null,"abstract":"We investigate the dynamics of a solitary wave in the nonlinear Dirac equation under a spatially periodic potential with wave number k. Using a two-collective-coordinate ansatz, we derive an effective equation of motion for the solitary wave's center of mass based on energy conservation and on momentum continuity equation with a source term. The solitary wave behaves as a relativistic particle in an effective potential, which in the non-relativistic limit reduces to a nonlinear pendulum in a sinusoidal potential of period λ = 2π/k. The dynamics is governed by the interplay between the potential period λ and the solitary wave width Ls. The wave number k controls both the period and amplitude of the effective potential, leading to distinct regimes. For λ ≫ Ls, the solitary wave exhibits either bounded oscillations or unbounded motion, depending on its initial velocity; in contrast, for λ ≪ Ls, the potential amplitude is effectively negligible and the motion becomes uniform. In the particle-like regime, a critical initial velocity separates trapped and unbounded motion. At low frequencies, where the solitary wave develops a two-hump structure, we observe a λ/2 phase shift in the effective potential and the conversion of energy associated with internal shape oscillations into translational kinetic energy, a mechanism that lies beyond the point-particle description and reveals behavior not typically associated with length-scale competition in solitary wave systems.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 10","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149104562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

A comparison of traveling wave properties in minimal and biophysically detailed models of cardiac tissue using a novel software tool. 使用一种新的软件工具比较心脏组织最小和生物物理详细模型中的行波特性。

IF 3.3 2区数学

Chaos Pub Date : 2026-10-01 DOI: 10.1063/5.0336554

Vincent Lovero, Stephanie Dodson, Timothy J Lewis

{"title":"A comparison of traveling wave properties in minimal and biophysically detailed models of cardiac tissue using a novel software tool.","authors":"Vincent Lovero, Stephanie Dodson, Timothy J Lewis","doi":"10.1063/5.0336554","DOIUrl":"https://doi.org/10.1063/5.0336554","url":null,"abstract":"Models of cardiac tissue span a wide range of complexity, from minimal models to biophysically detailed models. It is often assumed that minimal models accurately capture the core behaviors of propagating action potentials in biophysically detailed models. However, it remains unclear whether additional physiological detail introduces qualitatively new behaviors. Dispersion relations quantify the existence, stability, and bifurcations of traveling waves, but their computation for biophysically detailed models has been limited by system complexity and computational cost. To overcome these challenges, we develop Traveling Wave Investigation Software Tool (TWIST), a numerical framework for the systematic computation of traveling wave solutions and their spectra. Using TWIST, we compute and compare dispersion relations in the FitzHugh-Nagumo, Beeler-Reuter, and nine-variable ten Tusscher-Panfilov models. Our analysis shows that increasing physiological detail can introduce substantial additional structure in dispersion relations. In particular, the interaction of multiple activation processes in the ten Tusscher-Panfilov model gives rise to additional solution branches, including families of slow waves that are absent in minimal models and may play important roles in abnormal wave dynamics. Our comparisons across models of increasing complexity distinguish robust features of wave propagation from those arising specifically from detailed ionic interactions and represent a step toward validating that the observed behaviors reflect genuine cardiac phenomena rather than artifacts of specific model formulations.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 10","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149104781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

A new method to produce limit cycles in a near-Hamiltonian system. 近似哈密顿系统极限环的一种新方法。

IF 3.3 2区数学

Chaos Pub Date : 2026-10-01 DOI: 10.1063/5.0339109

Shanshan Liu, Maoan Han

引用次数: 0

Changes in major global trade centers: Based on a visual assessment method. 全球主要贸易中心的变化：基于视觉评估方法。

IF 3.3 2区数学

Chaos Pub Date : 2026-10-01 DOI: 10.1063/5.0297211

Jian Wang, Haixiao Wang, Wei Shao, Jie Chen, Shanshan Ge, Junseok Kim

引用次数: 0

Breakdown of adiabatic scaling and noise-induced functional synchronization in deeply quiescent excitable systems. 深度静态可激系统中绝热标度的破坏和噪声诱导的功能同步。

IF 3.3 2区数学

Chaos Pub Date : 2026-10-01 DOI: 10.1063/5.0341643

Yefan Wu

{"title":"Breakdown of adiabatic scaling and noise-induced functional synchronization in deeply quiescent excitable systems.","authors":"Yefan Wu","doi":"10.1063/5.0341643","DOIUrl":"https://doi.org/10.1063/5.0341643","url":null,"abstract":"Coherence resonance characterizes noise-induced regularity in excitable systems, yet its evaluation in quiescent biological media is often obscured by flattened energy landscapes and complex nonlinear dynamics. In this study, we investigate the stochastic dynamics of a 3D Sherman-Rinzel-Keizer model driven by multiplicative Feller noise. We show that traditional extremal evaluations of coherence resonance encounter a bathtub effect, characterized by a broad resonance valley, which can lead to statistical inaccuracies. To address this, we propose a logarithmic centroid extraction method, which filters out stochastic jitter and recovers the underlying adiabatic Kramers scaling with high linearity (R2 > 0.95). Furthermore, we identify the physical boundary where this adiabatic approximation breaks down under the strong-noise limit. Extending our analysis to gap-junction coupled systems, we observe a noise-induced transition from sub-threshold physiological shivering (characterized by statistical correlation but negligible functional output) to macroscopic functional synchronization. Our results provide a mathematical framework for extracting optimal noise intensities in broad energy valleys and offer insights into how quiescent biological systems utilize stochastic fluctuations for functional recovery.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 10","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149134935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Nonlinear phase-space structure, bifurcation, and topological solitons in nematic liquid crystal reorientation. 向列液晶定向中的非线性相空间结构、分岔和拓扑孤子。

IF 3.3 2区数学

Chaos Pub Date : 2026-10-01 DOI: 10.1063/5.0341182

Wael M Al-Sawai

{"title":"Nonlinear phase-space structure, bifurcation, and topological solitons in nematic liquid crystal reorientation.","authors":"Wael M Al-Sawai","doi":"10.1063/5.0341182","DOIUrl":"https://doi.org/10.1063/5.0341182","url":null,"abstract":"We investigate field-induced director reorientation in nematic liquid crystals within the Frank-Oseen continuum framework through a global phase-space formulation that reveals the nonlinear geometric structure of equilibrium director configurations and their connection to the classical Fréedericksz transition. Reformulating the governing second-order equation as an autonomous dynamical system using a dimensionless spatial coordinate, we characterize the global organization of equilibrium states as a function of dimensionless control parameter |λ| = (L/ξH)2, which quantifies the competition between magnetic and elastic torques. The analysis reveals a supercritical pitchfork bifurcation of the bulk spatial dynamical system at λ = 0, marking the onset of symmetry breaking and generating an alternating sequence of stable centers and unstable saddles. The separatrix trajectories connecting neighboring saddles are identified as static topological solitons (domain walls), providing a natural geometric framework for characterizing their spatial width, energy, and stability. An associated three-dimensional energy-landscape representation provides a direct connection between phase-space topology and physical multistability, demonstrating how finite-cell boundary anchoring unfolds the idealized bulk bifurcation into the experimentally observed Fréedericksz transition. These results establish a unified geometric framework connecting nonlinear dynamical systems theory with continuum liquid-crystal physics, providing new physical insight into symmetry breaking, multistability, and localized topological structures in anisotropic soft matter.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 10","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149134896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Identification of topological information from orbits in area-preserving maps. 区域保持图中轨道拓扑信息的识别。

IF 3.3 2区数学

Chaos Pub Date : 2026-10-01 DOI: 10.1063/5.0336427

F Cai, S Kado, G Kawamura

引用次数: 0

Parametric spectral submanifolds across Hopf bifurcations with applications to fluid dynamics. Hopf分岔的参数谱子流形及其在流体动力学中的应用。

IF 3.3 2区数学

Chaos Pub Date : 2026-10-01 DOI: 10.1063/5.0334774

James King, Bálint Kaszás, Gergely Buza, William Jussiau, George Haller

{"title":"Parametric spectral submanifolds across Hopf bifurcations with applications to fluid dynamics.","authors":"James King, Bálint Kaszás, Gergely Buza, William Jussiau, George Haller","doi":"10.1063/5.0334774","DOIUrl":"https://doi.org/10.1063/5.0334774","url":null,"abstract":"We investigate the persistence and regularity of spectral submanifolds (SSMs) in high-dimensional parametric dynamical systems undergoing a Hopf bifurcation. By analyzing how resonances in the linearized spectrum near bifurcation points limit the existence and smoothness of SSMs, a phenomenon that has been mostly overlooked, we show that low-order Taylor coefficients of the SSM expansion and the associated reduced dynamics persist smoothly through the bifurcation. This analysis generalizes to any local bifurcation and provides a clear estimate of the parameter ranges over which a parametric SSM model can be justified, thus illustrating how globally the model can be extended despite the presence of resonances near criticality. We demonstrate these findings on multiple examples, including a data-driven SSM approach to the lid-driven cavity flow. For that problem, we construct a parametric SSM-reduced model that accurately captures the full transition to periodic dynamics and the critical Reynolds number. These results provide a mathematical foundation for robust data- and equation-driven model reduction of fluid flows across bifurcations, enabling an accurate prediction of nonlinear dynamics across critical parameter regimes.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 10","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149104567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Contrasting seasonal organization of Arctic dynamical and thermodynamic variability. 对比北极动力和热力变率的季节组织。

IF 3.3 2区数学

Chaos Pub Date : 2026-10-01 DOI: 10.1063/5.0355263

Sujata Kulkarni, Ankit Agarwal

{"title":"Contrasting seasonal organization of Arctic dynamical and thermodynamic variability.","authors":"Sujata Kulkarni, Ankit Agarwal","doi":"10.1063/5.0355263","DOIUrl":"https://doi.org/10.1063/5.0355263","url":null,"abstract":"Arctic atmospheric circulation and near-surface temperature are physically coupled, yet it remains unclear whether their spatial coherence changes in the same way across seasons. Using ERA5 reanalysis for 1940-2024, we directly compare winter (DJF) and summer (JJA) anomalies of 500 hPa geopotential height (Z500) and 2 m air temperature (T2M) over the Arctic. We combine threshold-independent correlation-decay analysis with fixed-density climate networks to quantify both the geographical extent of coherence and the spatial organization of the strongest relationships. The two fields exhibit opposite seasonal behavior. Z500 is more spatially coherent in winter, with its characteristic correlation length decreasing from approximately 1728 km in DJF to 1259 km in JJA. T2M shows the reverse pattern, with its correlation length increasing from approximately 1275 km in DJF to 1778 km in JJA. Climate-network analysis locates these changes geographically: winter Z500 connectivity is broadly distributed across the Arctic, whereas summer T2M connectivity strengthens and expands over the central Arctic Ocean. The seasonal transition, therefore, does not produce a uniform change in Arctic atmospheric organization. Instead, it is characterized by stronger basin-scale dynamical coherence in winter and enhanced near-surface thermodynamic coherence in summer. By comparing circulation and temperature within a common quantitative framework, this study demonstrates that physical coupling does not imply parallel seasonal organization and provides a baseline for assessing future changes in the spatial structure of Arctic atmospheric variability.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 10","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149104909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Evolving scale-free networks and node-based random edge deletion. 进化无标度网络和基于节点的随机边删除。

IF 3.3 2区数学

Chaos Pub Date : 2026-10-01 DOI: 10.1063/5.0332769

Everton R Constantino, Alberto Saa

{"title":"Evolving scale-free networks and node-based random edge deletion.","authors":"Everton R Constantino, Alberto Saa","doi":"10.1063/5.0332769","DOIUrl":"https://doi.org/10.1063/5.0332769","url":null,"abstract":"We investigate a growing-network model that combines preferential and uniform attachment with two distinct mechanisms of edge deletion. In addition to the usual uniform random edge deletion, we introduce a novel node-based rule in which uniformly chosen non-isolated nodes lose one of their incident edges. This mechanism differs fundamentally from uniform edge deletion and leads to a nonlinear evolution for the stationary degree distribution due to the nonlinear dependence on the fraction of isolated nodes. We solve the general problem in the stationary regime and obtain closed-form expressions for the degree distribution in terms of hypergeometric and confluent hypergeometric functions. Depending on the balance between attachment and deletion rates, three asymptotic regimes for the degree distribution arise: power-law, exponential, and a critical regime characterized by a stretched-exponential decay. We show that the node-based edge deletion mechanism is less likely to disrupt the scale-free (power-law) regime than the uniform edge deletion. Moreover, we also demonstrate that the precise balance between preferential attachment and node-based deletion can transform a scale-free network into a critical one with stretched-exponential decay. Large-scale numerical simulations exhibit excellent agreement with the theoretical predictions.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"36 10","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149179664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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