Zobrazeno 1 - 10
of 9 178
pro vyhledávání: '"random dynamical systems"'
Autor:
Rabi Bhattacharya, Mukul Majumdar
This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of deterministic dynamical systems, with particular emphasis on applications to ec
We prove that projectivised finite-dimensional linear random dynamical systems possess a unique finest weak Morse decomposition. Based on this result, we define the Morse spectrum and investigate its basic properties. In particular, we show that the
Externí odkaz:
http://arxiv.org/abs/2412.05603
In this paper, we introduce generalized dichotomies for nonautonomous random linear dynamical systems acting on arbitrary Banach spaces, and obtain their complete characterization in terms of an appropriate admissibility property. These generalized d
Externí odkaz:
http://arxiv.org/abs/2410.13697
Autor:
Sumi, Hiroki
This paper deals with random dynamical systems of polynomial automorphisms (complex generalized H\'{e}non maps and their conjugate maps) of $\Bbb{C}^{2}.$ We show that a generic random dynamical system of polynomial automorphisms has ``mean stablity'
Externí odkaz:
http://arxiv.org/abs/2408.03577
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