CHAIN RECURRENCE AND ATTRACTORS IN GENERAL DYNAMICAL SYSTEMS

- Journal title : Communications of the Korean Mathematical Society
- Volume 22, Issue 4, 2007, pp.575-586
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2007.22.4.575

Title & Authors

CHAIN RECURRENCE AND ATTRACTORS IN GENERAL DYNAMICAL SYSTEMS

Lee, Kyung-Bok; Park, Jong-Shu;

Lee, Kyung-Bok; Park, Jong-Shu;

Abstract

We introduce here notions of chain recurrent sets, attractors and its basins for general dynamical systems and prove important properties including (i) the chain recurrent set CR(f) of f on a metric space (X, d) is the complement of the union of sets B(A) -A as A varies over the collection of attractors and (ii) genericity of general dynamical systems.

Keywords

attractor;basin;chain recurrent sets;general dynamical systems;genericity;

Language

English

Cited by

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