TITLE:
On the Topological Entropy of Nonautonomous Differential Equations
AUTHORS:
Le Huy Tien, Le Duc Nhien
KEYWORDS:
Kinematically Similar, Topological Conjugacy, Linear Dynamic Equation, Topological Entropy
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.2,
February
26,
2019
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.