``Horseshoe chaos'' in the space-independent double sine-Gordon system
For the driven, damped space-independent double sine-Gordon equation (periodic but non-sinusoidal potential) threshold curves for horseshoe chaos of the Smale type are derived by the Melnikov technique. Different qualitative behaviour of the solutions is found in different regions of the parameter space. Results are compared to the case of a nonlinear pendulum with sinusoidal potential.
driven, damped space- independent double sine-Gordon equation
scientific article; zbMATH DE number 4007776