University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Lecture 8: (U. of Cambridge): Oscillatory escape: a Non-Poissonnian escape process

Lecture 8: (U. of Cambridge): Oscillatory escape: a Non-Poissonnian escape process

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact info@newton.ac.uk.

SDB - Stochastic dynamical systems in biology: numerical methods and applications

This lecture introduces novel concepts in asymptotic of second order PDE . It is a continuation of lecture 7. The motivation is coming from noisy dynamical systems, modelling neuronal networks with synaptic properties. The lecture presents a novel matched asymptotic, based on Mobius conformal mapping, Hopf normal form, to estimate the distribution of exit times and exit points (concentrated at one boundary point). The spectrum of the Fokker-Planck non-selfadjoint operator is computed. The role of the second eigenvalue is explained and generated the oscillation escape.



This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity