Non-Archimedean Hénon maps, attractors, and horseshoes

DOI10.1007/s40993-018-0105-2zbMath1420.37120arXiv1610.04271OpenAlexW2962879505MaRDI QIDQ2316150

Clayton Petsche, David Demark, Kenneth Allen

Publication date: 26 July 2019

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04271

zbMATH Keywords

strange attractorssymbolic dynamicsHénon mapsnon-Archimedean dynamical systems

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10) Non-Archimedean dynamical systems (11S82) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items

Shadowing and stability in \(p\)-adic dynamics, Attractors associated to a family of hyperbolic -adic plane automorphisms

Cites Work

• Shift automorphisms in the Henon mapping
• The dynamics of the Hénon map
• Dynamics of quadratic polynomials over local fields
• A two-dimensional mapping with a strange attractor
• Abundance of strange attractors
• Geometric and arithmetic properties of the Hénon map
• \(p\)-adic numbers: An introduction.
• What are SRB measures, and which dynamical systems have them?
• Applied algebraic dynamics
• Dynamical properties of plane polynomial automorphisms
• p-adic Chaos and Random Number Generation
• Sur la dynamique arithmétique des automorphismes de l’espace affine
• Points périodiques des automorphismes affines.
• Canonical heights for Hénon maps
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item