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초록· 키워드
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The equicontinuity and scattering properties of
continuous semi-flows are studied on a compact metric space. The
main results are obtained as follows: first, the complexity
function defined by the spanning set is bounded if and only if the
system is equicontinuous; secondly, if a continuous semi-flow is
topologically weak mixing, then it is pointwise scattering;
thirdly, several equivalent conditions for the time-one map of a
continuous semi-flow to be scattering are presented; Finally, for
a minimal continuous map it is shown that the ``non-dense"
requirement is unnecessary in the
definition of scattering by using open covers.
목차
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참고문헌 (12)
참고문헌 신청
F. Blanchard / 2000 / Topological complexity / Ergodic Theory Dynam. Systems 20 (3) : 641 ~ 662
J. Auslander / 1988 / Minimal Flows and Their Extensions / North-Holland Mathematics Studies 153
K. Petersen / 1970 / Disjointness and weak mixing of minimal sets / Proc. Amer. Math. Soc. 24 : 278 ~ 280
L. F. He / 2005 / Some dynamical properties of the minimal continuous semi-flows / Indian J. Pure Appl. Math. 36 (4) : 189 ~ 201
R. Bowen / 1971 / Entropy for group endomorphisms and homogeneous spaces / Trans. Amer. Math. Soc. 153 : 401 ~ 414
J. Auslander / 1988 / Minimal Flows and Their Extensions / North-Holland Mathematics Studies 153
K. Petersen / 1970 / Disjointness and weak mixing of minimal sets / Proc. Amer. Math. Soc. 24 : 278 ~ 280
L. F. He / 2005 / Some dynamical properties of the minimal continuous semi-flows / Indian J. Pure Appl. Math. 36 (4) : 189 ~ 201
R. Bowen / 1971 / Entropy for group endomorphisms and homogeneous spaces / Trans. Amer. Math. Soc. 153 : 401 ~ 414
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