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Physica D: Nonlinear Phenomena最新文献

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Scaling invariance for the diffusion coefficient in a dissipative standard mapping
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134513
Edson D. Leonel , Célia M. Kuwana , Diego F.M. Oliveira
{"title":"Scaling invariance for the diffusion coefficient in a dissipative standard mapping","authors":"Edson D. Leonel ,&nbsp;Célia M. Kuwana ,&nbsp;Diego F.M. Oliveira","doi":"10.1016/j.physd.2024.134513","DOIUrl":"10.1016/j.physd.2024.134513","url":null,"abstract":"<div><div>The unbounded diffusion observed for the standard mapping in a regime of high nonlinearity is suppressed by dissipation due to the violation of Liouville’s theorem. The diffusion coefficient becomes important for the description of scaling invariance particularly for the suppression of the unbounded action diffusion. When the dynamics start in the regime of low action, the diffusion coefficient remains constant for a long time, guaranteeing the diffusion for an ensemble of particles. Eventually, it evolves into a regime of decay, marking the suppression of particle action growth. We prove it is scaling invariant for the control parameters and the crossover time identifying the changeover from the constant domain, leading to diffusion, for a regime of decay marking the saturation of the diffusion, scales with the same critical exponent <span><math><mrow><mi>z</mi><mo>=</mo><mo>−</mo><mn>1</mn></mrow></math></span> for a transition from bounded to unbounded diffusion in a dissipative time dependent billiard system.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134513"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162857","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
Sampling error mitigation through spectrum smoothing: First experiments with ensemble transform Kalman filters and Lorenz models
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134436
Bosu Choi , Yoonsang Lee
{"title":"Sampling error mitigation through spectrum smoothing: First experiments with ensemble transform Kalman filters and Lorenz models","authors":"Bosu Choi ,&nbsp;Yoonsang Lee","doi":"10.1016/j.physd.2024.134436","DOIUrl":"10.1016/j.physd.2024.134436","url":null,"abstract":"<div><div>In data assimilation, an ensemble provides a way to propagate the probability density of a system described by a nonlinear prediction model. Although a large ensemble size is required for statistical accuracy, the ensemble size is typically limited to a small number due to the computational cost of running the prediction model, which leads to a sampling error. Several methods, such as localization and inflation, exist to mitigate the sampling error, often requiring problem-dependent fine-tuning and design. This work introduces a nonintrusive sampling error mitigation method that modifies the ensemble to ensure a smooth turbulent spectrum. It turns out that the ensemble modification to satisfy the smooth spectrum leads to inhomogeneous localization and inflation, which apply spatially varying localization and inflation levels at different locations. The efficacy of the new idea is validated through a suite of stringent test regimes of the Lorenz 96 turbulent model.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134436"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162911","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
Thermocapillary weak viscoelastic film flows on a rotating substrate
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134493
Souradip Chattopadhyay, Hangjie Ji
{"title":"Thermocapillary weak viscoelastic film flows on a rotating substrate","authors":"Souradip Chattopadhyay,&nbsp;Hangjie Ji","doi":"10.1016/j.physd.2024.134493","DOIUrl":"10.1016/j.physd.2024.134493","url":null,"abstract":"<div><div>We analyze the dynamics and stability of a thin viscoelastic film on a rotating, nonuniformly heated inclined plane, assuming weak rotation and a region far from the axis. The centrifugal force’s effect on instability is a key focus, with Walter’s B<span><math><msup><mrow></mrow><mrow><mo>′</mo><mo>′</mo></mrow></msup></math></span> rheology used for the viscoelastic liquid. By applying the long-wave approximation, we derive a nonlinear evolution equation for the local film thickness, capturing the interplay of viscoelasticity, rotation, thermocapillarity, and gravity in the low Reynolds number regime. Linear stability analysis shows that the linear growth rate of disturbances is influenced by the viscoelastic parameter, centrifugal force, and Marangoni stresses, while the linear wave speed is affected by rotation and thermocapillarity, but not viscoelasticity. A weakly nonlinear stability analysis reveals distinct instability regions, with both supercritical stable and subcritical unstable zones governed by rotation, thermocapillarity, and viscoelasticity. Numerical studies show that rotation enhances wave height, and viscoelasticity and thermal effects further amplify it. Additionally, viscoelasticity, rotation, and thermal effects impact nonlinear wave speed, though nonuniform heating reduces wave propagation. Full numerical simulations confirm the results from linear and weakly nonlinear analyses.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134493"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143163179","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
Adaptive dynamic social networks using an agent-based model to study the role of social awareness in infectious disease spread
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134530
Leonardo López , Leonardo Giovanini
{"title":"Adaptive dynamic social networks using an agent-based model to study the role of social awareness in infectious disease spread","authors":"Leonardo López ,&nbsp;Leonardo Giovanini","doi":"10.1016/j.physd.2025.134530","DOIUrl":"10.1016/j.physd.2025.134530","url":null,"abstract":"<div><div>The synergy between the spread of infectious diseases, individual behavior, and group dynamics is widely recognized by epidemiologists and researchers. Our pioneering methodology introduces a model based on agents embedded within adaptive temporal networks, providing a nuanced portrayal of daily interactions through an agent-based paradigm. Each agent encapsulates the interactions of individuals, with external stimuli and environmental cues influencing their behavior. Comprising three intertwined elements — individual behavior, social dynamics, and epidemiological factors — the model has been validated against real-world influenza outbreaks, demonstrating superior performance compared to traditional methodologies. Our framework exhibits extensive versatility and applicability by encapsulating individual-level dynamics through elementary rules and simulating complex social behaviors such as social consciousness.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134530"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143163334","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
Soliton resolution and asymptotic stability of N-soliton solutions for the defocusing mKdV equation with a non-vanishing background
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134526
Zechuan Zhang, Taiyang Xu, Engui Fan
{"title":"Soliton resolution and asymptotic stability of N-soliton solutions for the defocusing mKdV equation with a non-vanishing background","authors":"Zechuan Zhang,&nbsp;Taiyang Xu,&nbsp;Engui Fan","doi":"10.1016/j.physd.2025.134526","DOIUrl":"10.1016/j.physd.2025.134526","url":null,"abstract":"<div><div>We analytically study the large-time asymptotics of the solution of the defocusing modified Korteweg–de Vries (mKdV) equation under a symmetric non-vanishing background, which supports the emergence of solitons. It is demonstrated that the asymptotic expansion of the solution at the large time could verify the renowned soliton resolution conjecture. Moreover, the asymptotic stability of <span><math><mi>N</mi></math></span>-soliton solution is also exhibited in the present work. We establish our results by performing a <span><math><mover><mrow><mi>∂</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span>-nonlinear steepest descent analysis to the associated Riemann–Hilbert (RH) problem.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134526"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143163339","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
Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134524
Yanan Li , Lingling Liu , Yujiang Chen , Zhiheng Yu
{"title":"Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model","authors":"Yanan Li ,&nbsp;Lingling Liu ,&nbsp;Yujiang Chen ,&nbsp;Zhiheng Yu","doi":"10.1016/j.physd.2025.134524","DOIUrl":"10.1016/j.physd.2025.134524","url":null,"abstract":"<div><div>This paper mainly studied the qualitative properties of a four-parameter discrete Lotka–Volterra predator–prey model. By applying polynomial algebraic theory to solve complex high-order semi-algebraic systems, and combining bifurcation theory, we provided not only the topological structure of orbits in the vicinity of each fixed point, but also the specific parameter conditions that give rise to codimension one and codimension two bifurcations of the model including transcritical, flip, Neimark–Sacker bifurcations, strong resonances of 1:2, 1:3, 1:4, and weak resonance Arnold tongue. Besides, we also discussed the chaotic behavior in the sense of Marotto of the model. Finally, employing <span>Maple 2023</span> and <span>Matlab R2019a</span>, we conducted numerical simulations of the dynamic behavior of the model to further verify the aforementioned theoretical results.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134524"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143164497","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
Stripe patterns for Gierer–Meinhard model in spatially varying thin domains
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134480
Leila Mohammadi , Theodore Kolokolnikov , David Iron , Tamara A. Franz-Odendaal
{"title":"Stripe patterns for Gierer–Meinhard model in spatially varying thin domains","authors":"Leila Mohammadi ,&nbsp;Theodore Kolokolnikov ,&nbsp;David Iron ,&nbsp;Tamara A. Franz-Odendaal","doi":"10.1016/j.physd.2024.134480","DOIUrl":"10.1016/j.physd.2024.134480","url":null,"abstract":"<div><div>We explore pattern formation for the GM model on thin domains. If the domain is sufficiently thin, the pattern consists of stripes which are nearly one-dimensional. We analyze patterns consisting of one, two or many stripes. We find that a single stripe can be located either at the thickest or thinnest part of the channel, depending on the choice of parameters. In the limit of many stripes, we derive an effective pattern density description of the equilibrium state. The effective density is easily computable as a solution of a first order ODE subject to an integral constraint. Depending on problem parameters, the resulting pattern can be either global spanning the entire domain, or can be clustered near either thickest or thinnest part of the domain. In addition, instability thresholds are derived from the continuum density limit of many stripes. Full two-dimensional numerical simulations are performed and are shown to be in agreement with the asymptotic results.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134480"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162935","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
Bifurcation analysis of a discrete Nicholson’s blowflies model
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2025.134550
Lingling Liu , Jie Tian , Lan Zou
{"title":"Bifurcation analysis of a discrete Nicholson’s blowflies model","authors":"Lingling Liu ,&nbsp;Jie Tian ,&nbsp;Lan Zou","doi":"10.1016/j.physd.2025.134550","DOIUrl":"10.1016/j.physd.2025.134550","url":null,"abstract":"<div><div>For better understanding the dynamical behaviors of the delay discrete Nicholson’s blowflies model, we analyze a modified discrete Nicholson’s blowflies model. Using the normal form approach of discrete-time models and bifurcation theory, we prove that there exists a series of bifurcations of codimension one such as the transcritical, flip bifurcations, and codimension-two bifurcations including the fold-flip bifurcation, 1:2, 1:3, 1:4 strong resonances. Moreover, we give the bifurcation curves with the original parameters shown in the bifurcation diagrams. Simulation examples illustrate the theoretical results and further explain the biological significance of the bifurcation phenomenon.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"473 ","pages":"Article 134550"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143360338","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
Stable oscillations in laser-induced thermal plume/surface interaction in several molecular liquids
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134492
Sean T. Oakes , Reese W. Anderson , Alex Rapelje , M.W. Gealy , Darin J. Ulness
{"title":"Stable oscillations in laser-induced thermal plume/surface interaction in several molecular liquids","authors":"Sean T. Oakes ,&nbsp;Reese W. Anderson ,&nbsp;Alex Rapelje ,&nbsp;M.W. Gealy ,&nbsp;Darin J. Ulness","doi":"10.1016/j.physd.2024.134492","DOIUrl":"10.1016/j.physd.2024.134492","url":null,"abstract":"<div><div>This study explores the dynamics of thermal plumes induced by laser heating in piperidine, 1-butanol, and 1-pentanoic acid near their liquid/air interfaces. Utilizing a collimated laser beam, cylindrical heated regions are generated, acting as sources for thermal plumes outlined by refractive index gradients due to sharp temperature changes. The interaction between these plumes and the surface introduces unique steady-state dynamics, manifesting as either stable-point dynamics or anharmonic oscillations, depending on the molecular liquid and experimental conditions. Piperidine, 1-butanol, and 1-pentanoic acid each exhibit steady-state oscillation. Methanol and ethylene glycol serve as counterexamples, having stable-point dynamics. The implications of these findings are of relevance for the fields of nonlinear dynamics and dynamical systems, providing experimental examples of limit cycles.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134492"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162909","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
Numerical calculation and characteristics of quasi-periodic breathers to the Kadomtsev–Petviashvili-based system
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI: 10.1016/j.physd.2024.134497
Zhonglong Zhao, Yu Wang, Pengcheng Xin
{"title":"Numerical calculation and characteristics of quasi-periodic breathers to the Kadomtsev–Petviashvili-based system","authors":"Zhonglong Zhao,&nbsp;Yu Wang,&nbsp;Pengcheng Xin","doi":"10.1016/j.physd.2024.134497","DOIUrl":"10.1016/j.physd.2024.134497","url":null,"abstract":"<div><div>The Kadomtsev–Petviashvili-based system can be regarded as a consistent approximation of a class of partial differential equations, which can be used to describe the nonlinear wave phenomena in the fields of ionomers, fluid dynamics and optical systems. In this paper, an effective method is introduced to study the quasi-periodic breathers of the Kadomtsev–Petviashvili-based system. Based on the Hirota’s bilinear method and the Riemann-theta function, an over-determined system about quasi-periodic breathers can be obtained. It can be integrated into a least square problem and solved by the numerical iterative algorithms. The asymptotic properties of the quasi-periodic 1-breathers are analyzed rigorously under the small amplitude limit. The dynamic behaviors including the periodicity and distance between two breather chains of the quasi-periodic breathers are analyzed precisely by an analytic method related to the characteristic lines. The effective method presented in this paper can be further extended to the other integrable systems with breathers.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"472 ","pages":"Article 134497"},"PeriodicalIF":2.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143162930","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
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