Bistability in the sine-Gordon equation: the ideal switch.
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 one to discover that the sine-Gordon equation can work as an ideal switch by reaching a transmissive regime with vanishing driving amplitude.
Khomeriki
R
R
Laboratoire de Physique Théorique et Astroparticules CNRS-UMR5207, Université Montpellier 2, 34095 Montpellier, France.
Leon
J
J