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Noise Induced dissipation in Discrete Dynamical Systems.
Student-Run Research| Speaker: | Lech Wolowski, UC Davis Math Dept. |
| Location: | 693 Kerr |
| Start time: | Mon, Oct 8 2001, 10:00AM |
Description
We examine long time sensitiveness of a class of discrete dynamical
systems influenced by a random perturbation (noise) in the
case when the magnitude of the perturbation tends to zero.
We define the notion of dissipation time, analyze its asymptotic
properties for the class of systems generated by toral automorphisms,
and investigate its connections with the entropy of generating
map.