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math.DS2003
Forcing relations for homoclinic and periodic orbits of the Smale horseshoe map
Pieter Collins
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 usin…
math.DS2003
Entropy-minimising models of surface diffeomorphisms relative to homoclinic and heteroclinic orbits
Pieter Collins
In the theory of surface diffeomorphisms relative to homoclinic and heteroclinic orbits, it is possible to compute a one-dimensional representative map for any irreducible isotopy…