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 JAMP  Vol.7 No.2 , February 2019
On the Topological Entropy of Nonautonomous Differential Equations
Abstract: The purpose of this paper is to extend the concept topological entropy to nonautonomous linear systems. Next, we shall give estimation of the topological entropy for the class of bounded linear equations on Rn. Finally, we are about to investigate the invariant properties of one through the transformations such as topological conjugacy, topological equivalence and kinematically similar and then show that topological entropy of one is equal to sum of positive Lyapunov characteristic exponents.
Cite this paper: Tien, L. and Nhien, L. (2019) On the Topological Entropy of Nonautonomous Differential Equations. Journal of Applied Mathematics and Physics, 7, 418-429. doi: 10.4236/jamp.2019.72032.
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