Characterization of Pullback Attractors for Multivalued Nonautonomous Dynamical Systems

2016 ◽  
pp. 179-195 ◽  
Author(s):  
Jacson Simsen ◽  
José Valero
Keyword(s):  
Dynamical Systems ◽  
Pullback Attractors ◽  
Nonautonomous Dynamical Systems

GLOBAL PULLBACK ATTRACTORS OF ${\mathbb C}$-ANALYTIC NONAUTONOMOUS DYNAMICAL SYSTEMS

2001 ◽  
Vol 01 (04) ◽  
pp. 511-535 ◽  
Author(s):  
DAVID N. CHEBAN
Keyword(s):  
Dynamical Systems ◽  
Large Class ◽  
Systematic Study ◽  
Almost Periodic ◽  
Pullback Attractors ◽  
Periodic Coefficients ◽  
Nonautonomous Dynamical Systems

This is a systematic study of global pullback attractors of [Formula: see text]-analytic cocycles. For the large class of [Formula: see text]-analytic cocycles we give the description of structure of their pullback attractors. In particular we prove that it is trivial, i.e. the fibers of these attractors contain only one point. Several applications of these results are given (ODEs, Caratheodory's equations with almost periodic coefficients, almost periodic ODEs with impulse).

scholarly journals Pullback attractors of nonautonomous dynamical systems

2006 ◽  
Vol 16 (3) ◽  
pp. 587-614 ◽  
Author(s):  
Yejuan Wang ◽  
◽  
Chengkui Zhong ◽  
Shengfan Zhou ◽  
Keyword(s):  
Dynamical Systems ◽  
Pullback Attractors ◽  
Nonautonomous Dynamical Systems

scholarly journals On some kinds of dense orbits in general nonautonomous dynamical systems

2020 ◽  
Vol 7 (1) ◽  
pp. 163-175
Author(s):  
Mehdi Pourbarat
Keyword(s):  
Dynamical Systems ◽  
Initial Conditions ◽  
Point Of View ◽  
Topological Conjugacy ◽  
Topological Transitivity ◽  
Nonautonomous Systems ◽  
Nonautonomous Dynamical Systems ◽  
Sensitive Dependence ◽  
Dense Orbits

AbstractWe study the theory of universality for the nonautonomous dynamical systems from topological point of view related to hypercyclicity. The conditions are provided in a way that Birkhoff transitivity theorem can be extended. In the context of generalized linear nonautonomous systems, we show that either one of the topological transitivity or hypercyclicity give sensitive dependence on initial conditions. Meanwhile, some examples are presented for topological transitivity, hypercyclicity and topological conjugacy.

A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS

1994 ◽  
Vol 04 (04) ◽  
pp. 979-998 ◽  
Author(s):  
CHAI WAH WU ◽  
LEON O. CHUA
Keyword(s):  
Dynamical Systems ◽  
Chaotic Systems ◽  
Main Tool ◽  
Lyapunov Stability Theory ◽  
Asymptotical Stability ◽  
Unified Framework ◽  
Partial Synchronization ◽  
Chua’S Oscillator ◽  
And Control

In this paper, we give a framework for synchronization of dynamical systems which unifies many results in synchronization and control of dynamical systems, in particular chaotic systems. We define concepts such as asymptotical synchronization, partial synchronization and synchronization error bounds. We show how asymptotical synchronization is related to asymptotical stability. The main tool we use to prove asymptotical stability and synchronization is Lyapunov stability theory. We illustrate how many previous results on synchronization and control of chaotic systems can be derived from this framework. We will also give a characterization of robustness of synchronization and show that master-slave asymptotical synchronization in Chua’s oscillator is robust.

Numerical characterization of nonlinear dynamical systems using parallel computing: The role of GPUs approach

2016 ◽  
Vol 37 ◽  
pp. 143-162 ◽  
Author(s):  
Filipe I. Fazanaro ◽  
Diogo C. Soriano ◽  
Ricardo Suyama ◽  
Marconi K. Madrid ◽  
José Raimundo de Oliveira ◽  
...  
Keyword(s):  
Parallel Computing ◽  
Dynamical Systems ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical ◽  
Numerical Characterization
Sign in / Sign up

Export Citation Format

Share Document