arXiv: Chaotic Dynamics最新文献

Invariant manifolds in Hamiltonian systems with applications to the Earth-Moon system 哈密顿系统中的不变流形及其在地月系统中的应用

arXiv: Chaotic Dynamics Pub Date : 2021-04-28 DOI: 10.13140/RG.2.2.11919.10400

Vitor Oliveira

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引用次数: 0

Synchronization of oscillators with hyperbolic chaotic phases 双曲混沌相振子的同步

arXiv: Chaotic Dynamics Pub Date : 2020-11-23 DOI: 10.18500/0869-6632-2021-29-1-78-87

A. Pikovsky

引用次数: 3

Power spectrum and form factor in random diagonal matrices and integrable billiards 随机对角矩阵和可积台球中的功率谱和形状因子

arXiv: Chaotic Dynamics Pub Date : 2020-11-04 DOI: 10.1016/j.aop.2020.168393

R. Riser, E. Kanzieper

引用次数: 12

Topological dynamics of volume-preserving maps without an equatorial heteroclinic curve 无赤道异斜曲线的保体映射的拓扑动力学

arXiv: Chaotic Dynamics Pub Date : 2020-10-03 DOI: 10.1016/j.physd.2021.132925

J. Arenson, K. Mitchell

引用次数: 1

Preperiodicity and systematic extraction of periodic orbits of the quadratic map 二次映射周期轨道的预周期和系统提取

arXiv: Chaotic Dynamics Pub Date : 2020-09-02 DOI: 10.1142/S0129183120501740

J. Gallas

引用次数: 2

Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System 耦合Logistic映射系统中的Flip分岔和neimmark - sacker分岔

arXiv: Chaotic Dynamics Pub Date : 2020-05-18 DOI: 10.1155/2020/4103606

A. Mareno, L. English

引用次数: 4

Ultradiscrete bifurcations for one dimensional dynamical systems 一维动力系统的超离散分岔

arXiv: Chaotic Dynamics Pub Date : 2020-04-28 DOI: 10.1063/5.0012772

S. Ohmori, Y. Yamazaki

引用次数: 6

Compressible Baker Maps and Their Inverses. A Memoir for Francis Hayin Ree [ 1936-2020 ] 可压缩贝克映射及其逆。弗朗西斯·海因·雷回忆录[1936-2020]

arXiv: Chaotic Dynamics Pub Date : 2020-03-20 DOI: 10.12921/cmst.2020.0000007

W. G. Hoover

引用次数: 3

Delay Effects on Amplitude Death, Oscillation Death, and Renewed Limit Cycle Behavior in Cyclically Coupled Oscillators 周期耦合振荡器中振幅死亡、振荡死亡和更新极限环行为的延迟效应

arXiv: Chaotic Dynamics Pub Date : 2020-02-12 DOI: 10.5890/JAND.2021.09.006

R. Roopnarain, S. Choudhury

{"title":"Delay Effects on Amplitude Death, Oscillation Death, and Renewed Limit Cycle Behavior in Cyclically Coupled Oscillators","authors":"R. Roopnarain, S. Choudhury","doi":"10.5890/JAND.2021.09.006","DOIUrl":"https://doi.org/10.5890/JAND.2021.09.006","url":null,"abstract":"The effects of a distributed 'weak generic kernel' delay on cyclically coupled limit cycle and chaotic oscillators are considered. For coupled Van der Pol oscillators (and in fact, other oscillators as well) the delay can produce transitions from amplitude death(AD) or oscillation death (OD) to Hopf bifurcation-induced periodic behavior, with the delayed limit cycle shrinking or growing as the delay is varied towards or away from the bifurcation point respectively. The transition from AD to OD is mediated here via a pitchfork bifurcation, as seen earlier for other couplings as well. Also, the cyclically coupled undelayed van der Pol system here is already in a state of AD/OD, and introducing the delay allows both oscillations and AD/OD as the delay parameter is varied. This is in contrast to other limit cycle systems, where diffusive coupling alone does not result in the onset of AD/OD. For systems where the individual oscillators are chaotic, such as a Sprott oscillator system or a coupled van der Pol-Rayleigh system with parametric forcing, the delay may produce AD/OD (as in the Sprott case), with the AD to OD transition now occurring via a transcritical bifurcation instead. However, this may not be possible, and the delay might just vary the attractor shape. In either of these situations however, increased delay strength tends to cause the system to have simpler behavior, streamlining the shape of the attractor, or shrinking it in cases with oscillations.","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127678891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical studies on the synchronization of a network of mutually coupled simple chaotic systems. 互耦合简单混沌系统网络同步的数值研究。

arXiv: Chaotic Dynamics Pub Date : 2019-09-02 DOI: 10.29195/iascs.02.01.0012

G. Sivaganesh, A. Arulgnanam, A. Seethalakshmi

引用次数: 1