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Orientador(es)
Resumo(s)
For an interval map, the poles of the Artin-Mazur zeta function provide topological invariants which are closely connected to topological entropy. It is known that for a time-periodic nonautonomous dynamical system F with period p, the p-th power [zeta(F) (z)](p) of its zeta function is meromorphic in the unit disk. Unlike in the autonomous case, where the zeta function zeta(f)(z) only has poles in the unit disk, in the p-periodic nonautonomous case [zeta(F)(z)](p) may have zeros. In this paper we introduce the concept of spectral invariants of p-periodic nonautonomous discrete dynamical systems and study the role played by the zeros of [zeta(F)(z)](p) in this context. As we will see, these zeros play an important role in the spectral classification of these systems.
Descrição
Palavras-chave
Nonautonomous discrete dynamical systems Interval maps Zeta functions Spectral invariants Topological entropy
Contexto Educativo
Citação
ALVES, João Ferreira; MÁLEK, Michal; SILVA, Luís - Spectral invariants of periodic nonautonomous discrete dynamical systems. Journal of Mathematical Analysis and Applications. ISSN. 0022-247X. Vol. 430, N.º 1 (2015), pp. 85-97.
Editora
ACADEMIC PRESS INC ELSEVIER SCIENCE