- Experiment. Math.
- Volume 14, Issue 1 (2005), 75-86.
Forcing Relations for Homoclinic Orbits of the Smale Horseshoe Map
An important problem in the dynamics of surface homeomorphisms is determining the forcing relation between orbits. The forcing relation between periodic orbits can be computed using existing algorithms. Here we consider forcing relations between homoclinic orbits. We outline a general procedure for computing the forcing relation and apply this to compute the equivalence and forcing relations for homoclinic orbits of the Smale horseshoe map.
Experiment. Math., Volume 14, Issue 1 (2005), 75-86.
First available in Project Euclid: 30 June 2005
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 37E30: Homeomorphisms and diffeomorphisms of planes and surfaces 37C27: Periodic orbits of vector fields and flows 37B10: Symbolic dynamics [See also 37Cxx, 37Dxx] 37E25: Maps of trees and graphs
Collins, Pieter. Forcing Relations for Homoclinic Orbits of the Smale Horseshoe Map. Experiment. Math. 14 (2005), no. 1, 75--86. https://projecteuclid.org/euclid.em/1120145572