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Title: Topological horseshoes in travelling waves of discretized nonlinear wave equations

Applying the concept of anti-integrable limit to coupled map lattices originated from space-time discretized nonlinear wave equations, we show that there exist topological horseshoes in the phase space formed by the initial states of travelling wave solutions. In particular, the coupled map lattices display spatio-temporal chaos on the horseshoes.
Authors:
 [1] ;  [2] ;  [3]
  1. Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan (China)
  2. Department of Mathematics, National Taiwan Normal University, Taipei 11677, Taiwan (China)
  3. Department of Financial and Computational Mathematics, Providence University, Shalu, Taichung 43301, Taiwan (China)
Publication Date:
OSTI Identifier:
22250707
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PHASE SPACE; SPACE-TIME; TOPOLOGY; TRAVELLING WAVES; WAVE EQUATIONS