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2005 Forcing Relations for Homoclinic Orbits of the Smale Horseshoe Map
Pieter Collins
Experiment. Math. 14(1): 75-86 (2005).

Abstract

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.

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Pieter Collins. "Forcing Relations for Homoclinic Orbits of the Smale Horseshoe Map." Experiment. Math. 14 (1) 75 - 86, 2005.

Information

Published: 2005
First available in Project Euclid: 30 June 2005

zbMATH: 1107.37031
MathSciNet: MR2146521

Subjects:
Primary: 37B10 , 37C27 , 37E25 , 37E30

Keywords: braid type , forcing relation , Homoclinic orbit , Smale horseshoe

Rights: Copyright © 2005 A K Peters, Ltd.

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