Results 61 to 70 of about 893,053 (74)
Symbolic Dynamics for Normally Hyperbolic Foliations [PDF]
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]
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]
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]
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]
We prove that generically and modulo a topological conjugacy there is only one dynamical system.
arxiv
A Lax Functorial Definition of Open Dynamics [PDF]
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]
In this paper, we'll show the robustness of global stability for perturbed dissipative dynamical systems.
arxiv
Entry and Return times distribution [PDF]
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]
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]
An attempt is made to extend some of the basic paradigms of dynamics, from the viewpoint of (continuous) flows, to non-metric manifolds.
arxiv