Bistability in sine-Gordon: the ideal switch

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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Phys. Rev. E, (to be published, May 2005)

Scientific paper

10.1103/PhysRevE.71.056620

The sine-Gordon equation, used as the representative nonlinear wave equation, presents a bistable behavior resulting from nonlinearity and generating hysteresis properties. We show that the process can be understood in a comprehensive analytical formulation and that it is a generic property of nonlinear systems possessing a natural band gap. The approach allows to discover that sine-Gordon can work as an it ideal switch by reaching a transmissive regime with vanishing driving amplitude.

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