arXiv: Chaotic Dynamics最新文献

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Synchronization and Phase Ordering in Globally Coupled Chaotic Maps 全局耦合混沌映射中的同步与相位排序
arXiv: Chaotic Dynamics Pub Date : 2014-02-20 DOI: 10.1007/978-3-319-12328-8_14
O. Alvarez-Llamoza, M. Cosenza
{"title":"Synchronization and Phase Ordering in Globally Coupled Chaotic Maps","authors":"O. Alvarez-Llamoza, M. Cosenza","doi":"10.1007/978-3-319-12328-8_14","DOIUrl":"https://doi.org/10.1007/978-3-319-12328-8_14","url":null,"abstract":"","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126720527","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: 1
Differential Entropy Dynamics: A Possible Cause of Coherence Resonance 微分熵动力学:相干共振的可能原因
arXiv: Chaotic Dynamics Pub Date : 2013-12-01 DOI: 10.1007/978-3-319-09710-7_9
Juhi Rajhans, A. Iyengar
{"title":"Differential Entropy Dynamics: A Possible Cause of Coherence Resonance","authors":"Juhi Rajhans, A. Iyengar","doi":"10.1007/978-3-319-09710-7_9","DOIUrl":"https://doi.org/10.1007/978-3-319-09710-7_9","url":null,"abstract":"","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115555533","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
Classical and Quantum Transport in One-Dimensional Periodically Kicked Systems 一维周期踢动系统中的经典输运和量子输运
arXiv: Chaotic Dynamics Pub Date : 2013-10-29 DOI: 10.1139/cjc-2013-0374
I. Dana
{"title":"Classical and Quantum Transport in One-Dimensional Periodically Kicked Systems","authors":"I. Dana","doi":"10.1139/cjc-2013-0374","DOIUrl":"https://doi.org/10.1139/cjc-2013-0374","url":null,"abstract":"This paper is a brief review of classical and quantum transport phenomena, as well as related spectral properties, exhibited by one-dimensional periodically kicked systems. Two representative and fundamentally different classes of systems will be considered, those satisfying the classical Kolmogorov-Arnol'd-Moser scenario and those which not. The experimental realization of some of these systems using atom-optics methods will be mentioned.","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128682555","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: 7
Why Instantaneous Values of the "Covariant" Lyapunov Exponents Depend upon the Chosen State-Space Scale 为什么“协变”李雅普诺夫指数的瞬时值取决于所选择的状态空间尺度
arXiv: Chaotic Dynamics Pub Date : 2013-09-09 DOI: 10.12921/CMST.2014.20.01.5-8
W. Hoover, C. G. Hoover
{"title":"Why Instantaneous Values of the \"Covariant\" Lyapunov Exponents Depend upon the Chosen State-Space Scale","authors":"W. Hoover, C. G. Hoover","doi":"10.12921/CMST.2014.20.01.5-8","DOIUrl":"https://doi.org/10.12921/CMST.2014.20.01.5-8","url":null,"abstract":"We explore a simple example of a chaotic thermostated harmonic-oscillator system which exhibits qualitatively different local Lyapunov exponents for simple scale-model constant-volume transformations of its coordinate q and momentum p : { q,p } --> { (Q/s),(sP) } . The time-dependent thermostat variable zeta(t) is unchanged by such scaling. The original (q,p,zeta) motion and the scale-model (Q,P,zeta) version of the motion are physically identical. But both the local Gram-Schmidt Lyapunov exponents and the related local \"covariant\" exponents change with the change of scale. Thus this model furnishes a clearcut chaotic time-reversible example showing how and why both the local Lyapunov exponents and covariant exponents vary with the scale factor s .","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126176255","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: 12
The structure of a chaos of strange attractors within a mathematical model of the metabolism of a cell 在细胞代谢的数学模型中由奇怪的吸引子组成的混沌结构
arXiv: Chaotic Dynamics Pub Date : 2013-07-01 DOI: 10.15407/ujpe58.07.0677
V. Grytsay, I. V. Musatenko
{"title":"The structure of a chaos of strange attractors within a mathematical model of the metabolism of a cell","authors":"V. Grytsay, I. V. Musatenko","doi":"10.15407/ujpe58.07.0677","DOIUrl":"https://doi.org/10.15407/ujpe58.07.0677","url":null,"abstract":"This work continues the study of the earlier constructed mathematical model of the metabolic process running in a cell. \u0000We will consider auto-oscillations arising on the level of enzyme-substrate interactions in the nutrient and respiratory chains, which leads to the self-organization in autocatalysis of the integral metabolic process in cells. The auto-oscillations organize themselves in the total metabolic process of cells at autocatalysis. \u0000The behavior of the phase-parametric characteristic under the high dissipation of a kinetic membrane potentialis analyzed. All possible oscillatory modes of the system and the scenario of formation and destruction of regular and strange attractors are studied. The bifurcations of the transitions \"order-chaos\", \"chaos-order\", \"chaos-chaos\" and \"order-order\" are calculated. The total spectra of Lyapunov indices and the divergences for all types of attractors on a part of the phase-parametric characteristic under consideration are determined. For various types of strange attractors, their Lyapunov dimensions, KS-entropies, and \"predictability horizons\" are calculated. Some conclusions about the structure of the chaos of strange attractors and its influence on the stability of the metabolic process in a cell are drawn.","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126076762","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: 14
The Importance of the Strategy in Backward Orbits 逆向轨道策略的重要性
arXiv: Chaotic Dynamics Pub Date : 2013-06-26 DOI: 10.1007/978-3-319-12328-8_9
C. Pellicer-Lostao, R. López-Ruiz
{"title":"The Importance of the Strategy in Backward Orbits","authors":"C. Pellicer-Lostao, R. López-Ruiz","doi":"10.1007/978-3-319-12328-8_9","DOIUrl":"https://doi.org/10.1007/978-3-319-12328-8_9","url":null,"abstract":"","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133670725","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
Fractional Maps as Maps with Power-Law Memory 分数映射作为具有幂律记忆的映射
arXiv: Chaotic Dynamics Pub Date : 2013-06-26 DOI: 10.1007/978-3-319-02353-3_3
M. Edelman
{"title":"Fractional Maps as Maps with Power-Law Memory","authors":"M. Edelman","doi":"10.1007/978-3-319-02353-3_3","DOIUrl":"https://doi.org/10.1007/978-3-319-02353-3_3","url":null,"abstract":"","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125390959","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: 43
Chaos in the Kepler Problem with Quadrupole Perturbations 四极微扰下开普勒问题中的混沌
arXiv: Chaotic Dynamics Pub Date : 2013-06-25 DOI: 10.1007/978-1-4939-2441-7_5
G. Depetri, A. Saa
{"title":"Chaos in the Kepler Problem with Quadrupole Perturbations","authors":"G. Depetri, A. Saa","doi":"10.1007/978-1-4939-2441-7_5","DOIUrl":"https://doi.org/10.1007/978-1-4939-2441-7_5","url":null,"abstract":"","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116926044","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
Amplitude death: The cessation of oscillations in coupled nonlinear dynamical systems 振幅死亡:耦合非线性动力系统中振荡的停止
arXiv: Chaotic Dynamics Pub Date : 2013-05-31 DOI: 10.1063/1.4865354
Garima Saxena, Nirmal Punetha, A. Prasad, R. Ramaswamy
{"title":"Amplitude death: The cessation of oscillations in coupled nonlinear dynamical systems","authors":"Garima Saxena, Nirmal Punetha, A. Prasad, R. Ramaswamy","doi":"10.1063/1.4865354","DOIUrl":"https://doi.org/10.1063/1.4865354","url":null,"abstract":"Here we extend a recent review (Physics Reports 521, 205 (2012)) of amplitude death, namely the suppression of oscillations due to the coupling interactions between nonlinear dynamical systems. This is an important emergent phenomenon that is operative under a variety of scenarios. We summarize results of recent studies that have significantly added to our understanding of the mechanisms that underlie the process, and also discuss the phase–flip transition, a characteristic and unusual effect that occurs in the transient dynamics as the oscillations die out.","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116292649","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: 10
Dynamical Localization in Kicked Rotator as a Paradigm of Other Systems: Spectral Statistics and the Localization Measure 作为其他系统范例的踢式旋转器的动态局部化:谱统计和局部化测量
arXiv: Chaotic Dynamics Pub Date : 2013-01-15 DOI: 10.1007/978-3-319-00395-5_3
T. Manos, M. Robnik
{"title":"Dynamical Localization in Kicked Rotator as a Paradigm of Other Systems: Spectral Statistics and the Localization Measure","authors":"T. Manos, M. Robnik","doi":"10.1007/978-3-319-00395-5_3","DOIUrl":"https://doi.org/10.1007/978-3-319-00395-5_3","url":null,"abstract":"","PeriodicalId":166772,"journal":{"name":"arXiv: Chaotic Dynamics","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125931012","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
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