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.
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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