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http://dx.doi.org/10.4134/CKMS.2007.22.4.575

CHAIN RECURRENCE AND ATTRACTORS IN GENERAL DYNAMICAL SYSTEMS  

Lee, Kyung-Bok (Department of Mathematics Hoseo University)
Park, Jong-Shu (Department of Mathematics Chungnam National University)
Publication Information
Communications of the Korean Mathematical Society / v.22, no.4, 2007 , pp. 575-586 More about this Journal
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;
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