Results 61 to 70 of about 893,053 (74)

Symbolic Dynamics for Normally Hyperbolic Foliations [PDF]

open access: yesarXiv, 2016
We introduce some tools of symbolic dynamics to study the hyperbolic directions of partially hyperbolic diffeomorphisms, emulating the well known methods available for uniformly hyperbolic systems.
arxiv  

On the nonchaotic nature of monotone dynamical systems [PDF]

open access: yesarXiv, 2019
Two types of dynamics, chaotic and monotone, are compared. It is shown that monotone maps in strongly ordered spaces do not have chaotic attracting sets.
arxiv  

Criterion for quasi-anosovian diffeomorphisms of closed manifolds [PDF]

open access: yesarXiv, 2014
Quasi-Anosov diffeomorphism is a kind of important dynamical system due to R. Mane 1970s. In this paper, we present a criterion for such dynamics using ergodic theory.
arxiv  

Dynamics of Low-Dimensional Quadratic Families [PDF]

open access: yesarXiv, 2020
This paper studies the low-dimensional complex quadratic maps under holomorphic and nonholomorphic singular perturbations and reviews the topological and statistical properties of low-dimensional real quadratic maps.
arxiv  

Generic Dynamics on Compact Metric Spaces [PDF]

open access: yesarXiv, 2018
We prove that generically and modulo a topological conjugacy there is only one dynamical system.
arxiv  

A Lax Functorial Definition of Open Dynamics [PDF]

open access: yesarXiv, 2018
This paper provides a rewording in the language of lax-functors of the definition of open dynamics given in our systemic theory of interactivity exposed in previous papers.
arxiv  

Robustesse de la stabilité globale asymptotique des équilibres pour les systèmes dynamiques dissipatifs perturbés [PDF]

open access: yesarXiv, 2017
In this paper, we'll show the robustness of global stability for perturbed dissipative dynamical systems.
arxiv  

Entry and Return times distribution [PDF]

open access: yesarXiv, 2013
This is a review article on the distributions of entry and return times in dynamical systems which discusses recent results for systems of positive entropy.
arxiv  

On Raw Coding of Chaotic Dynamics [PDF]

open access: yesarXiv, 2006
We study raw coding of trajectories of a chaotic dynamical system by sequences of elements from a finite alphabet and show that there is a fundamental constraint on differences between codes corresponding to different trajectories of the dynamical system.
arxiv  

Dynamics of non-metric manifolds [PDF]

open access: yesarXiv, 2011
An attempt is made to extend some of the basic paradigms of dynamics, from the viewpoint of (continuous) flows, to non-metric manifolds.
arxiv  

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