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

R. Chacón

Chaos, Solitons & Fractals, 2007, vol. 31, issue 5, 1265-1271

Abstract: 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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:5:p:1265-1271

DOI: 10.1016/j.chaos.2005.10.076

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