Topological entropy and periodic orbits of saddle type for surface diffeomorphisms

DOI10.32917/hmj/1150997945zbMath1049.37030OpenAlexW1548101124WikidataQ128870350 ScholiaQ128870350MaRDI QIDQ1430974

Michihiro Hirayama, Yong Moo Chung

Publication date: 27 May 2004

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1150997945

zbMATH Keywords

periodic pointstopological entropydiffeomorphisms of surfacesLyapunow exponentorbit growth

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (6)

Dynamical quantities and their numerical analysis by saddle periodic orbits ⋮ The growth of periodic orbits with large support ⋮ Topological pressure via saddle points ⋮ On the weaker forms of the specification property and their applications ⋮ Horseshoes for \(\mathcal{C}^{1+\alpha}\) mappings with hyperbolic measures ⋮ Hyperbolic periodic points for chain hyperbolic homoclinic classes

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