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February  2013, 33(2): 465-482. doi: 10.3934/dcds.2013.33.465

## Zeta functions and topological entropy of periodic nonautonomous dynamical systems

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

Received  August 2011 Revised  September 2011 Published  September 2012

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.
Citation: João Ferreira Alves, Michal Málek. Zeta functions and topological entropy of periodic nonautonomous dynamical systems. Discrete & Continuous Dynamical Systems - A, 2013, 33 (2) : 465-482. doi: 10.3934/dcds.2013.33.465
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