Uniform Convergence and Transitive Subsets
Copyright policy )Uniform Convergence and Transitive Subsets
Let (X, d) be a metric space and a sequence of continuous maps fn : X → X that converges uniformly to a map f. We investigate the transitive subsets of fn whether they can be inherited by f or not. We give sufficient conditions such that the limit map f has a transitive subset. In particular, we show the transitive subsets of fn that can be inherited by f if fn converges uniformly strongly to f.
- Sichuan University China (People's Republic of)
- Shangqiu Normal University China (People's Republic of)
- Shangqiu Normal University China (People's Republic of)
- Shangqiu Normal University China (People's Republic of)
topological dynamical system, weakly mixing set, Ergodicity, mixing, rates of mixing, Convergence and divergence of series and sequences of functions, Topological dynamics, uniform convergence, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, transitive set, QA1-939, Dynamical systems involving smooth mappings and diffeomorphisms, Mathematics
topological dynamical system, weakly mixing set, Ergodicity, mixing, rates of mixing, Convergence and divergence of series and sequences of functions, Topological dynamics, uniform convergence, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, transitive set, QA1-939, Dynamical systems involving smooth mappings and diffeomorphisms, Mathematics
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