# Mathematics Colloquia and Seminars

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### Coherence in stochastic dynamical systems

**Mathematical Biology**

Speaker: | R.E. Lee Deville, Courant Institute of Mathematical Sciences |

Location: | 1147 MSB |

Start time: | Fri, Apr 14 2006, 4:10PM |

It is known that random perturbations to dynamical systems can be small and irrelevant, or, alternately, so large as to overwhelm the dynamics. More interesting are cases where small random perturbations introduce qualitative changes in a system without introducing significant randomness. In effect, these are generating noise-induced, yet coherent, dynamics. We will show that this phenomenon is present in several simple models inspired by biological systems, and exists for parameter values which represent realistic scaling regimes. The examples will include stochastically-perturbed ODEs and PDEs, and Markov chains.

Note special time for the math-bio seminar. This week it is joint with the applied math seminar.