Bifurcation d'orbites homoclines pour les systèmes hamiltoniens
Bifurcation of periodic and chaotic solutions in discontinuous systems
Chaos generated by the existence of Smale horseshoe is the well-known phenomenon in the theory of dynamical systems. The Poincaré-Andronov-Melnikov periodic and subharmonic bifurcations are also classical results in this theory. The purpose of this note is to extend those results to ordinary differential equations with multivalued perturbations. We present several examples based on our recent achievements in this direction. Singularly perturbed problems are studied as well. Applications are given...
Bohr–Sommerfeld quantization condition for non-selfadjoint operators in dimension 2.
Branching of periodic orbits from Kukles isochrones.