|Date:||Mon, February 9, 2015|
|Place:||Research II Lecture Hall|
Abstract: Homoclinic bifurcations of continuous-time systems are known to give rise to various phenomena. This relates to bifurcations of the birth of a single periodic orbit from a homoclinic loop to a saddle or even an infinite number of periodic orbits in a case of a saddle-focus. I will speak about bifurcations of homoclinic tangencies in discrete-time systems, where it is possible to observe more complicated dynamics such as cascades of periodic orbits (sometimes "invisible") and infinite number of strange attractors.
The colloquium is preceded by tea from 16:45 in the Resnikoff Mathematics Common Room, Research I, 127.