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Hyperbolicity is a core of dynamics. Shadowness and expansiveness for homeomorphisms have been studied by J. Om-bach([3], [4], [5]). We study the hyperbolicity (i.e., expansivity and the shadowing property) and the Anosov relation for a closed relation.
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참고문헌 (7)
참고문헌 신청
E. Akin / 1993 / The general Topology of Dynamical Systems / A.M.S, Graduate Studies in Mathematics 1
R. McGehee / 1992 / Attractors for Closed Relations on Compact Hausdorff Spaces / Indiana Univ. Math. J 41:1165~1209
J. Ombach / 1986 / Equivalent conditions for hyperbolic coordinates / Topology and its App :87~90
J. Ombach / 1987 / Consequences of the pseudo orbits tracing property and expansive-ness / J. Austral. Math. Soc :301~313
J. Ombach / 1996 / Shadowing, expansivenesss and hyperbolic hoemomorphisms / J. Austral. Math. Soc :56~72
R. McGehee / 1992 / Attractors for Closed Relations on Compact Hausdorff Spaces / Indiana Univ. Math. J 41:1165~1209
J. Ombach / 1986 / Equivalent conditions for hyperbolic coordinates / Topology and its App :87~90
J. Ombach / 1987 / Consequences of the pseudo orbits tracing property and expansive-ness / J. Austral. Math. Soc :301~313
J. Ombach / 1996 / Shadowing, expansivenesss and hyperbolic hoemomorphisms / J. Austral. Math. Soc :56~72
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