Topological horseshoes in travelling waves of discretized nonlinear wave equations

Journal Article · Tue Apr 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4870618· OSTI ID:22250707

Chen, Yi-Chiuan ^[1]; Chen, Shyan-Shiou ^[2]; Yuan, Juan-Ming ^[3]

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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)

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.

• OSTI ID: 22250707
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PHASE SPACE
SPACE-TIME
TOPOLOGY
TRAVELLING WAVES
WAVE EQUATIONS