Kupka-Smale extensions of Cantor set homeomorphisms without sources or sinks

DOI10.1016/0166-8641(94)90024-8zbMath0810.58023OpenAlexW2001263920MaRDI QIDQ1336613

Michael D. Sanford, Russell B. Walker

Publication date: 9 April 1995

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(94)90024-8

zbMATH Keywords

Cantor set\(k\)-symbol adding machinesdisk diffeomorphismKupka-Smale diffeomorphism

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Local and nonlocal bifurcation theory for dynamical systems (37G99) Morse-Smale systems (37D15)

Related Items (2)

Cantor sets constructed by infinitely renormalizable diffeomorphisms ⋮ Taming the Cantor fence

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The periodic points of maps of the disk and the interval
• Henon-like maps with strange attractors: there exist C^∞Kupka-Smale diffeomorphisms on S²with neither sinks nor sources
• Nonwandering Structures at the Period-Doubling Limit in Dimensions 2 and 3
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Kupka-Smale extensions of Cantor set homeomorphisms without sources or sinks