### Mathematics Colloquium

# Ivan Ovsyannikov

### (Universität Bremen)

## "Homoclinic tangencies and strange attractors"

** Date: ** |
Mon, February 9, 2015 |

** Time: ** |
17:15 |

** 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.*