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The article is devoted to exhibit some general properties of strong chain recurrent set and strong chain transitive components for a continuous map f on a compact metric space X. We investigate the relation between the weak shadowing property and strong chain transitivity.
It is shown that a continuous map f from a compact metric space X onto itself with the average shadowing property is strong chain transitive.
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참고문헌 (10)
참고문헌 신청
C. Conley / 1978 / Isolated Invariants Sets and the Morse Index / CBMS Regional Conf. Ser. in Math
E. Akin / / Dynamics of topologically generic homeomorphisms / Mem. Amer. Math. Soc. 164 (783) : viii+130 ~
E. Akin / 1993 / The General Topology of Dynamical Systems / Amer. Math. Soc. Providence
F. H. Ghane / 2007 / On strong chain classes of homeomorphisms of compact metric spaces / J. Dyn. Syst. Geom. Theor. 5 (1) : 33 ~ 39
H. Fan-Nu / 2002 / Some properties of the chain recurrent set of dynamical systems / Chaos Solutin and Fractal 14 : 1309 ~ 1314
E. Akin / / Dynamics of topologically generic homeomorphisms / Mem. Amer. Math. Soc. 164 (783) : viii+130 ~
E. Akin / 1993 / The General Topology of Dynamical Systems / Amer. Math. Soc. Providence
F. H. Ghane / 2007 / On strong chain classes of homeomorphisms of compact metric spaces / J. Dyn. Syst. Geom. Theor. 5 (1) : 33 ~ 39
H. Fan-Nu / 2002 / Some properties of the chain recurrent set of dynamical systems / Chaos Solutin and Fractal 14 : 1309 ~ 1314
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