Homoclinics and chaotic behaviour for perturbed second order systems
The authors deal with homoclinics and chaotic behaviour for perturbed dynamical systems and partial differential equations. They prove a connection between multiplicity results for homoclinics and the properties of the Melnikov primitive, which is based on a variational approach. The authors do not require any general restriction on the time-dependence of the perturbation such as periodicity, almost periodicity, etc.
scientific article; zbMATH DE number 1472043