On the Topological Entropy of Nonautonomous Differential Equations - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.2, February 2019

On the Topological Entropy of Nonautonomous Differential Equations ()

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DOI: 10.4236/jamp.2019.72032 576 Downloads 1,031 Views Citations

Author(s)

Le Huy Tien, Le Duc Nhien

Affiliation(s)

Department of Mathematics, Mechanics and Informatics, Vietnam National University at Hanoi, Hanoi, Vietnam.

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.

KEYWORDS

Kinematically Similar, Topological Conjugacy, Linear Dynamic Equation, Topological Entropy

Share and Cite:

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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