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Zeta functions and topological entropy of periodic nonautonomous dynamical systems

Result description

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

nonautonomous dynamical systemszeta functionstopological entropyperiodic pointspiecewise monotone mapskneading determinants

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Zeta functions and topological entropy of periodic nonautonomous dynamical systems

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Discrete and Continuous Dynamical Systems - Series A

  • ISSN

    1078-0947

  • e-ISSN

  • Volume of the periodical

    33

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    18

  • Pages from-to

    465-482

  • UT code for WoS article

    000309289900003

  • EID of the result in the Scopus database

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2013