SS120 AIMS 2016 Meeting, Orlando, Florida, USA

Title:  Global bifurcations and complex dynamics
Name: Affiliation: Country: Email Address:
Ivan Ovsyannikov
University of Bremen
The session is devoted to the topics related to global bifurcations, which emerge in the theoretical context or various applications. It is well-known that the stable and unstable manifolds of fixed points (both in continuous and discrete-time systems) are usually embedded into the phase space in a very complicated way, forming, in particular, homoclinic or heteroclinic cycles. Moreover, small perturbations of such cycles may lead to the appearance of complex structures, such as finite or infinite sets of periodic orbits, invariant tori, formation of Smale horseshoes, strange attractors etc. At this session research talks on homoclinic and heteroclinic bifurcations are welcome, as well as the talks covering the study of the structures of stable and unstable invariant manifolds.