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On points of zero characteristic properties in dynamical systems

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Abstract

In this paper, we study relationships between zerocharacteristic properties and minimality of orbit closures orlimit sets of points. Also, we characterize the set of points ofzero characteristic properties. We show that the set of points ofpositive zero characteristic property in a compact spaces X isthe intersection of negatively invariant open subsets of X.

참고문헌 (5)

  1. "\paper Dynamical systems of proper characteristic 0 \jour", 6, pp.11~20 (1997)
  2. "N. Aoki and K. Hiraide \book Topological theory of dynamicalsystems $", $ \yr 1994 \publ North Holland\publaddr New York and Tokyo
  3. "N. P. Bhatia and G. P. Szego \book StabilityTheory of dynamical systems \publ Springer-Verlag \publaddrNew-York and Berlin \yr 1970"
  4. "E. Coven \paper P-recursion and transformationgroup having an equicontinuous replete semigroups \yr 1969 \vol 3\page 170--178 \jour Math. Sys. Th."
  5. "S. Elaydi \paper P-recursion and transformationgroups of characteristic 0 \jour J. Univ. Kuwait"

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