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CHAIN RECURRENCE AND ATTRACTORS IN GENERAL DYNAMICAL SYSTEMS
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 Title & Authors
CHAIN RECURRENCE AND ATTRACTORS IN GENERAL DYNAMICAL SYSTEMS
Lee, Kyung-Bok; Park, Jong-Shu;
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 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
1.
Random chain recurrent sets for random dynamical systems, Dynamical Systems, 2009, 24, 4, 537  crossref(new windwow)
2.
Conley's theorem for dispersive systems, Discrete and Continuous Dynamical Systems - Series S, 2014, 8, 2, 313  crossref(new windwow)
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