A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II

DOI10.1090/S1079-6762-01-00091-9zbMath0977.37008arXivmath/0012224OpenAlexW2798448961MaRDI QIDQ2761164

Brian R. Hunt, Vadim Yu. Kaloshin

Publication date: 17 December 2001

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0012224

zbMATH Keywords

prevalencediffeomorphismsperiodic points

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27) Orbit growth in dynamical systems (37C35) Generic properties, structural stability of dynamical systems (37C20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (6)

How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency ⋮ Abundance of fast growth of the number of periodic points in two-dimensional area-preserving dynamics ⋮ Smoothness is not an obstruction to realizability ⋮ A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I ⋮ On genericG-prevalent properties and a quantitative K-S theorem forC^rdiffeomorphisms of the circle ⋮ The Many Facets of Chaos

Cites Work

• Topology of generic multijet preimages and blow-up via Newton interpolation
• A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I
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