Reshaping-induced spatiotemporal chaos in driven, damped sine-Gordon systems
نویسنده
چکیده
Spatiotemporal chaos arising from the competition between sine-Gordonbreather 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 parameterspace 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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