Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits

DOI10.3934/dcds.2006.15.611zbMath1116.37016OpenAlexW2020649837MaRDI QIDQ874711

Maria Saprykina, Vadim Yu. Kaloshin

Publication date: 10 April 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.15.611

zbMATH Keywords

periodic orbitsnormal formsNewhouse domains

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Orbit growth in dynamical systems (37C35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (4)

A C^r unimodal map with an arbitrary fast growth of the number of periodic points ⋮ Abundance of fast growth of the number of periodic points in two-dimensional area-preserving dynamics ⋮ Complexities of differentiable dynamical systems ⋮ Historic wandering domains near cycles

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