A method for locating symmetric homoclinic orbits using symbolic dynamics

J. M. Bergamin, T. Bountis, C. Jung

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

In this paper we present a method which can identify and locate symmetric homoclinic orbits in a homoclinic tangle formed by the intersecting stable and unstable manifolds of a symmetric 2D map. The method consists of a systematic search in parameter space and determination of the order in which these orbits arise using symbolic dynamics. Each orbit corresponds to a unique sequence and it is computed by iterating the map along the unstable manifold to match a specific symmetry at the middle of the orbit. An application of the method to the determination of multibreather solutions of 1D lattices is discussed.

Original languageEnglish
Pages (from-to)8059-8070
Number of pages12
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number45
DOIs
Publication statusPublished - Nov 17 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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