Reshaping-induced spatiotemporal chaos in driven, damped sine-Gordon systems

Details Reshaping-induced spatiotemporal chaos in driven, damped sine-Gordon systems Reshaping-induced spatiotemporal chaos in driven, damped sine-Gordon systems

2006-04-04

arxiv.org/abs/cond-mat/0604081v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 3 figures

Scientific paper

Spatiotemporal chaos arising from the competition between sine-Gordon-breather and kink-antikink-pair solitons by reshaping an ac force is demonstrated. After introducing soliton collective coordinates, Melnikov's method is applied to the resulting effective equation of motion to estimate the parameter-space regions of the ac force where homoclinic bifurcations are induced. The analysis reveals that the chaos-order threshold exhibits sensitivity to small changes in the force shape. Computer simulations of the sine-Gordon system show good agreement with these theoretical predictions.

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