Bistability in sine-Gordon: the ideal switch

Abstract

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.

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

References in corpus (4)

• Energy transmission in the forbidden bandgap of a nonlinear chain
• Nonlinear Supratransmission
• Nonlinear Band Gap Transmission in Optical Waveguide Arrays
• Gap soliton formation by nonlinear supratransmission in Bragg media

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• A numerical method with properties of consistency in the energy domain for a class of dissipative nonlinear wave equations with applications to a Dirichlet boundary-value problem
• The Affective Factors on the Uncertainty in the Collisions of the Soliton Solutions of the Double Field sine-Gordon System
• On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system
• Head butting sheep: Kink Collisions in the Presence of False Vacua
• Stochastic Resonance in the Fermi-Pasta-Ulam Chain
• Tristability in the pendula chain