发布求助
文献互助 智能选刊 最新文献

Physica D: Nonlinear Phenomena最新文献

筛选
英文 中文
The dynamic of the positons for the reverse space–time nonlocal short pulse equation 反向时空非局域短脉冲方程的正子动态
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2024-11-14 DOI: 10.1016/j.physd.2024.134419
Jiaqing Shan, Maohua Li
{"title":"The dynamic of the positons for the reverse space–time nonlocal short pulse equation","authors":"Jiaqing Shan,&nbsp;Maohua Li","doi":"10.1016/j.physd.2024.134419","DOIUrl":"10.1016/j.physd.2024.134419","url":null,"abstract":"<div><div>In this paper, the Darboux transformation (DT) of the reverse space–time (RST) nonlocal short pulse equation is constructed by a hodograph transformation and the eigenfunctions of its Lax pair. The multi-soliton solutions of the RST nonlocal short pulse equation are produced through the DT, which can be expressed in terms of determinant representation. The correctness of DT and determinant representation of N-soliton solutions are proven. By taking different values of eigenvalues, bounded soliton solutions and unbounded soliton solutions can be obtained. In addition, based on the degenerate Darboux transformation, the <span><math><mi>N</mi></math></span>-positon solutions of the RST nonlocal short pulse equation are computed from the determinant expression of the multi-soliton solution. The decomposition of positons, approximate trajectory and “phase shift” after collision are discussed explicitly. Furthermore, different kinds of mixed solutions are also presented, and the interaction properties between positons and solitons are investigated.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"470 ","pages":"Article 134419"},"PeriodicalIF":2.7,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142661131","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
Symmetric comet-type periodic orbits in the elliptic three-dimensional restricted (N+1)-body problem 椭圆三维受限 (N+1)- 体问题中的对称彗星型周期轨道
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2024-11-12 DOI: 10.1016/j.physd.2024.134426
Josep M. Cors , Miguel Garrido
{"title":"Symmetric comet-type periodic orbits in the elliptic three-dimensional restricted (N+1)-body problem","authors":"Josep M. Cors ,&nbsp;Miguel Garrido","doi":"10.1016/j.physd.2024.134426","DOIUrl":"10.1016/j.physd.2024.134426","url":null,"abstract":"<div><div>For <span><math><mrow><mi>N</mi><mo>≥</mo><mn>3</mn></mrow></math></span>, we show the existence of symmetric periodic orbits of very large radii in the elliptic three-dimensional restricted <span><math><mrow><mo>(</mo><mi>N</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>-body problem when the <span><math><mi>N</mi></math></span> primaries have equal masses and are arranged in a <span><math><mi>N</mi></math></span>-gon central configuration. These periodic orbits are close to very large circular Keplerian orbits lying nearly a plane perpendicular to that of the primaries. They exist for a discrete sequence of values of the mean motion, no matter the value of the eccentricity of the primaries.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"470 ","pages":"Article 134426"},"PeriodicalIF":2.7,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142661132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Jensen-autocorrelation function for weakly stationary processes and applications 弱静止过程的詹森自相关函数及其应用
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2024-11-07 DOI: 10.1016/j.physd.2024.134424
Javier E. Contreras-Reyes
{"title":"Jensen-autocorrelation function for weakly stationary processes and applications","authors":"Javier E. Contreras-Reyes","doi":"10.1016/j.physd.2024.134424","DOIUrl":"10.1016/j.physd.2024.134424","url":null,"abstract":"<div><div>The Jensen-variance (JV) information based on Jensen’s inequality and variance has been previously proposed to measure the distance between two random variables. Based on the relationship between JV distance and autocorrelation function of two weakly stationary process, the Jensen-autocovariance and Jensen-autocorrelation functions are proposed in this paper. Furthermore, the distance between two different weakly stationary processes is measured by the Jensen-cross-correlation function. Moreover, autocorrelation function is also considered for ARMA and ARFIMA processes, deriving explicit formulas for Jensen-autocorrelation function that only depends on model parametric space and lag, whose were also illustrated by numeric results. In order to study the usefulness of proposed functions, two real-life applications were considered: the Tree Ring and Southern Humboldt current ecosystem time series.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"470 ","pages":"Article 134424"},"PeriodicalIF":2.7,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654563","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
About the chaos influence on a system with multi-frequency quasi-periodicity and the Landau-Hopf scenario 关于混沌对多频准周期性系统的影响以及 Landau-Hopf 情景
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2024-11-06 DOI: 10.1016/j.physd.2024.134425
A.P. Kuznetsov, L.V. Turukina
{"title":"About the chaos influence on a system with multi-frequency quasi-periodicity and the Landau-Hopf scenario","authors":"A.P. Kuznetsov,&nbsp;L.V. Turukina","doi":"10.1016/j.physd.2024.134425","DOIUrl":"10.1016/j.physd.2024.134425","url":null,"abstract":"<div><div>The interaction of system demonstrating multi-frequency quasi-periodic oscillations and several steps of the Landau-Hopf scenario with chaotic Rössler system is considered. The quasi-periodic subsystem is a network of five non-identical van der Pol oscillators. It is shown that as the coupling parameter between the subsystems decreases, successive quasi-periodic Hopf bifurcations and doublings of high-dimensional invariant tori are observed. The chaos arising in this system can have several (in our case up to five) additional zero Lyapunov exponents. In case of weak coupling parameter between chaotic and quasi-periodic subsystems, when the coupling parameter of van der Pol oscillators changes, the points at which the attractor transformation occurs are observed. This is a new type of bifurcations that are responsible for a consistent increase in the number of additional zero Lyapunov exponents. As the coupling parameter between chaotic and quasi-periodic subsystems increases, the observed stages of the Landau-Hopf scenario turns out to be resistant to interaction with the chaotic system.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"470 ","pages":"Article 134425"},"PeriodicalIF":2.7,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142661130","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 for the Ostrovsky–Vakhnenko equation 奥斯特洛夫斯基-瓦赫年科方程的孤子解析
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2024-11-04 DOI: 10.1016/j.physd.2024.134416
Ruihong Ma, Engui Fan
{"title":"Soliton resolution for the Ostrovsky–Vakhnenko equation","authors":"Ruihong Ma,&nbsp;Engui Fan","doi":"10.1016/j.physd.2024.134416","DOIUrl":"10.1016/j.physd.2024.134416","url":null,"abstract":"<div><div>We consider the Cauchy problem of the Ostrovsky–Vakhnenko (OV) equation expressed in the new variables <span><math><mrow><mo>(</mo><mi>y</mi><mo>,</mo><mi>τ</mi><mo>)</mo></mrow></math></span> <span><span><span><math><mrow><msup><mrow><mi>q</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>−</mo><mi>q</mi><msub><mrow><mrow><mo>(</mo><mo>log</mo><mi>q</mi><mo>)</mo></mrow></mrow><mrow><mi>y</mi><mi>τ</mi></mrow></msub><mo>−</mo><mn>1</mn><mo>=</mo><mn>0</mn></mrow></math></span></span></span> with Schwartz initial data <span><math><mrow><msub><mrow><mi>q</mi></mrow><mrow><mn>0</mn></mrow></msub><mrow><mo>(</mo><mi>y</mi><mo>)</mo></mrow><mo>&gt;</mo><mn>0</mn></mrow></math></span> which supports smooth and single-valued solitons. It is shown that the solution to the Cauchy problem for the OV equation can be characterized by a 3 × 3 matrix Riemann–Hilbert (RH) problem. Furthermore, by employing the <span><math><mover><mrow><mi>∂</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span>-steepest descent method to deform the RH problem into solvable models, we derive the soliton resolution for the OV equation across two space–time regions: <span><math><mrow><mi>y</mi><mo>/</mo><mi>τ</mi><mo>&gt;</mo><mn>0</mn></mrow></math></span> and <span><math><mrow><mi>y</mi><mo>/</mo><mi>τ</mi><mo>&lt;</mo><mn>0</mn></mrow></math></span>. This result also implies that the <span><math><mi>N</mi></math></span>-soliton solutions of the OV equation in variables <span><math><mrow><mo>(</mo><mi>y</mi><mo>,</mo><mi>τ</mi><mo>)</mo></mrow></math></span> are asymptotically stable.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"470 ","pages":"Article 134416"},"PeriodicalIF":2.7,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654424","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
Global dynamics of a periodically forced SI disease model of Lotka–Volterra type 洛特卡-沃尔特拉型周期性强迫 SI 疾病模型的全局动力学
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2024-11-04 DOI: 10.1016/j.physd.2024.134422
Yuheng Song , Lei Niu
{"title":"Global dynamics of a periodically forced SI disease model of Lotka–Volterra type","authors":"Yuheng Song ,&nbsp;Lei Niu","doi":"10.1016/j.physd.2024.134422","DOIUrl":"10.1016/j.physd.2024.134422","url":null,"abstract":"<div><div>In this paper, we investigate the dynamics of an SI disease model of Lotka–Volterra type in the presence of a periodically fluctuating environment. We give a global analysis of the dynamical behavior of the model. Interestingly, our results show that the permanence guarantees the existence of a unique positive harmonic time-periodic solution which is globally attracting when the horizontal disease transmission has a weaker impact than the intraspecific competition. While for the case when the horizontal disease transmission has a stronger impact than the intraspecific competition, we numerically show that complex dynamics such as chaos can occur in a permanent system. Nonetheless, we provide sufficient conditions for the existence and uniqueness of the positive harmonic time-periodic solution for the latter case. The impact of the environment on the spread of disease is studied by using a bifurcation analysis. We show that in each of the qualitatively different cases of the associated autonomous SI model in a constant environment, an alternative possibility can appear in the periodic model.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"470 ","pages":"Article 134422"},"PeriodicalIF":2.7,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654369","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
Chaotic fields out of equilibrium are observable independent 失去平衡的混沌场是独立可观测的
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2024-11-04 DOI: 10.1016/j.physd.2024.134421
D. Lippolis
{"title":"Chaotic fields out of equilibrium are observable independent","authors":"D. Lippolis","doi":"10.1016/j.physd.2024.134421","DOIUrl":"10.1016/j.physd.2024.134421","url":null,"abstract":"<div><div>Chaotic dynamics is always characterized by swarms of unstable trajectories, unpredictable individually, and thus generally studied statistically. It is often the case that such phase-space densities relax exponentially fast to a limiting distribution, that rules the long-time average of every observable of interest. Before that asymptotic time scale, the statistics of chaos is generally believed to depend on both the initial conditions and the chosen observable. I show that this is not the case for a widely applicable class of models, that feature a phase-space (‘field’) distribution common to all pushed-forward or integrated observables, while the system is still relaxing towards statistical equilibrium or a stationary state. This universal profile is determined by both leading and first subleading eigenfunctions of the transport operator (Koopman or Perron–Frobenius) that maps phase-space densities forward or backward in time.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"470 ","pages":"Article 134421"},"PeriodicalIF":2.7,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142661129","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
Jacobi stability, Hamilton energy and the route to hidden attractors in the 3D Jerk systems with unique Lyapunov stable equilibrium 具有唯一李雅普诺夫稳定均衡的三维 Jerk 系统中的雅可比稳定性、汉密尔顿能量和通向隐藏吸引子的路径
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2024-11-04 DOI: 10.1016/j.physd.2024.134423
Xiaoting Lu, Qigui Yang
{"title":"Jacobi stability, Hamilton energy and the route to hidden attractors in the 3D Jerk systems with unique Lyapunov stable equilibrium","authors":"Xiaoting Lu,&nbsp;Qigui Yang","doi":"10.1016/j.physd.2024.134423","DOIUrl":"10.1016/j.physd.2024.134423","url":null,"abstract":"<div><div>This paper is devoted to reveal the generation mechanism of hidden attractors of the 3D Jerk systems with unique Lyapunov stable equilibrium. In the light of the deviation curvature tensor, the two-parameter regions with Lyapunov stable but Jacobi unstable equilibrium are identified. Within these regions, the system’s dynamics transition from Lyapunov stable but Jacobi unstable equilibrium to hidden periodic and then to hidden chaotic attractors, which the corresponding Hamilton energy tend to be constant, regular and irregular oscillations, respectively. The route to hidden attractors of the systems with Jacobi unstable equilibrium is analyzed under one parameter variation. The results show that the systems initially undergo a subcritical Hopf bifurcation, resulting in a Lyapunov unstable limit cycle, followed by a saddle–node bifurcation of limit cycle, ultimately entering hidden chaotic attractors via the Feigenbaum period-doubling route.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"470 ","pages":"Article 134423"},"PeriodicalIF":2.7,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654423","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
To blow-up or not to blow-up for a granular kinetic equation 颗粒动力学方程的吹胀与否
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2024-10-28 DOI: 10.1016/j.physd.2024.134410
José A. Carrillo , Ruiwen Shu , Li Wang , Wuzhe Xu
{"title":"To blow-up or not to blow-up for a granular kinetic equation","authors":"José A. Carrillo ,&nbsp;Ruiwen Shu ,&nbsp;Li Wang ,&nbsp;Wuzhe Xu","doi":"10.1016/j.physd.2024.134410","DOIUrl":"10.1016/j.physd.2024.134410","url":null,"abstract":"<div><div>A simplified kinetic description of rapid granular media leads to a nonlocal Vlasov-type equation with a convolution integral operator that is of the same form as the continuity equations for aggregation-diffusion macroscopic dynamics. While the singular behavior of these nonlinear continuity equations is well studied in the literature, the extension to the corresponding granular kinetic equation is highly nontrivial. The main question is whether the singularity formed in velocity direction will be enhanced or mitigated by the shear in phase space due to free transport. We present a preliminary study through a meticulous numerical investigation and heuristic arguments. We have numerically developed a structure-preserving method with adaptive mesh refinement that can effectively capture potential blow-up behavior in the solution for granular kinetic equations. We have analytically constructed a finite-time blow-up infinite mass solution and discussed how this can provide insights into the finite mass scenario.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"470 ","pages":"Article 134410"},"PeriodicalIF":2.7,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Synchronization and limit cycles in a simple contagion model with time delays 有时间延迟的简单传染模型中的同步和极限周期
IF 2.7 3区 数学
Physica D: Nonlinear Phenomena Pub Date : 2024-10-23 DOI: 10.1016/j.physd.2024.134417
Ghassan Dibeh , Omar El Deeb
{"title":"Synchronization and limit cycles in a simple contagion model with time delays","authors":"Ghassan Dibeh ,&nbsp;Omar El Deeb","doi":"10.1016/j.physd.2024.134417","DOIUrl":"10.1016/j.physd.2024.134417","url":null,"abstract":"<div><div>We examine a system of <span><math><mrow><mi>N</mi><mo>=</mo><mn>2</mn></mrow></math></span> coupled non-linear delay-differential equations representing financial market dynamics. In such time delay systems, coupled oscillations have been derived. We linearize the system for small time delays and study its collective dynamics. Using analytical and numerical solutions, we obtain the bifurcation diagrams and analyze the corresponding regions of amplitude death, phase locking, limit cycles and market synchronization in terms of the system frequency-like parameters and time delays. We further numerically explore higher order systems with <span><math><mrow><mi>N</mi><mo>&gt;</mo><mn>2</mn></mrow></math></span>, and demonstrate that limit cycles can be maintained for coupled <span><math><mrow><mi>N</mi><mo>−</mo></mrow></math></span>asset models with appropriate parameterization.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"470 ","pages":"Article 134417"},"PeriodicalIF":2.7,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142654422","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
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信