Zeta functions and topological entropy of periodic nonautonomousdynamical systems

João Ferreira Alves; Michal Málek

doi:10.3934/dcds.2013.33.465

Article Contents

2013, Volume 33, Issue 2: 465-482. Doi: 10.3934/dcds.2013.33.465

This issue Previous Article Brownian-time Brownian motion SIEs on $\mathbb{R}_{+}$ × $\mathbb{R}^d$: Ultra regular direct and lattice-limits solutions and fourth order SPDEs links Next Article Inertial manifolds for a class of non-autonomous semilinear parabolic equations with finite delay

Zeta functions and topological entropy of periodic nonautonomous dynamical systems

João Ferreira Alves^1, and
Michal Málek^2,

1.
Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, TUL, Lisboa
2.
Mathematical Institute, Silesian University in Opava

Received: July 31, 2011

Revised: August 31, 2011

Published: January 2013

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Abstract

In the setting of continuous piecewise monotone interval maps, we study the analytic properties of the zeta function of a periodic nonautonomous dynamical system. Based upon these properties we discuss the relationship between topological entropy and growth number of periodic points of a periodic nonautonomous dynamical system.

Keywords:

Mathematics Subject Classification: Primary: 37B55, 37C30; Secondary: 37B40, 37C25, 37E05.

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