Nonlinear dynamics in driven, damped sine-Gordon systems (Q1084265)

In this paper, where the physical interest appears prevalent with respect to the mathematical one, the authors give many illustrations of physical applications where the general equation (Sine-Gordon): \[ {\ddot \psi}- \nabla^ 2\psi +\sin \psi =F(x,y;t)-\epsilon {\dot \psi} \] has a basic role. Both one- and two-dimensional cases are considered, with particular attention for the 1 D. Many results obtained with procedures quoted in the references are illustrated and discussed, with the aid of diagrams and pictures, with particular attention to the chaos transitions.