Affiliation:
1. Dep. Math. , Shahid Beheshti University , Tehran , Iran
Abstract
Abstract
We study the theory of universality for the nonautonomous dynamical systems from topological point of view related to hypercyclicity. The conditions are provided in a way that Birkhoff transitivity theorem can be extended. In the context of generalized linear nonautonomous systems, we show that either one of the topological transitivity or hypercyclicity give sensitive dependence on initial conditions. Meanwhile, some examples are presented for topological transitivity, hypercyclicity and topological conjugacy.
Subject
Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis
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