{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
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}
{"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}