Zobrazeno 1 - 10
of 333
pro vyhledávání: '"37D10"'
Autor:
Rayskin, Victoria
Publikováno v:
Discrete and Continuous Dynamical Systems, 2005, 12(3): 465-480
Let $f: M \to M$ denote a diffeomorphism of a smooth manifold $M$. Let $p$ in $M$ be its hyperbolic fixed point with stable and unstable manifolds $W_S$ and $W_U$, respectively. Assume that $W_S$ is a curve. Suppose that $W_U$ and $W_S$ have a degene
Externí odkaz:
http://arxiv.org/abs/2408.11314
In this article, we study a two-parameter family of rotating rank-one maps defined on $\textbf{S}^1\times [1, 1+b]\times \textbf{S}^1$, with $b\gtrsim 0$, whose dynamics is characterised by a coupling of a family of planar maps exhibiting rank-one st
Externí odkaz:
http://arxiv.org/abs/2408.09910
For small perturbations of linear Random Dynamical Systems evolving on a Banach space and exhibiting a generalized form of trichotomy, we prove the existence of invariant center manifolds, both in continuous and discrete-time. Furthermore, we provide
Externí odkaz:
http://arxiv.org/abs/2408.01204
Periodic orbits and cycles, respectively, play a significant role in discrete- and continuous-time dynamical systems (i.e. maps and flows). To succinctly describe their shifts when the system is applied perturbation, the notions of functional and fun
Externí odkaz:
http://arxiv.org/abs/2407.08079
This study extends the functional perturbation theory~(FPT) of dynamical systems, initially developed for investigating the shifts of invariant (un)stable manifolds within chaotic regions when subjected to global perturbations. In contrast, invariant
Externí odkaz:
http://arxiv.org/abs/2407.06440
Stable and unstable manifolds, originating from hyperbolic cycles, fundamentally characterize the behaviour of dynamical systems in chaotic regions. This letter demonstrates that their shifts under perturbation, crucial for chaos control, are computa
Externí odkaz:
http://arxiv.org/abs/2407.06430
Autor:
Haro, Alex, Vidal, Eric Sandin
The goal of this paper is to provide a methodology to prove existence of (fiberwise hyperbolic) real-analytic invariant tori in real-analytic quasi-periodic skew-product dynamical systems that present nearly-invariant tori of the same characteristics
Externí odkaz:
http://arxiv.org/abs/2403.18566
For $C^1$ diffeomorphisms with continuous invariant splitting without domination, we prove the existence of Pesin (un)stable manifold under the hyperbolicity of invariant measures.
Externí odkaz:
http://arxiv.org/abs/2402.11263
For 2D Navier--Stokes equations in a bounded smooth domain, we construct a system of determining functionals which consists of $N$ linear continuous functionals which depend on pressure $p$ only and of one extra functional which is given by the value
Externí odkaz:
http://arxiv.org/abs/2402.09566
Autor:
Jelbart, Samuel
This work provides a geometric approach to the study of bifurcation and rate induced transitions in a class of non-autonomous systems referred to herein as $\textit{asymptotically slow-fast systems}$, which may be viewed as 'intermediate' between the
Externí odkaz:
http://arxiv.org/abs/2401.08482