Nonlinear Science Webminar - Multiple Time Scale Dynamics in Chemical Oscillators

Other Talks
Monday, December 6, 2010 - 10:00am
1 hour (actually 50 minutes)
Physics Howey 501
Center for Applied Mathematics, Cornell University
Dynamical systems with multiple time scales have invariant geometric objects that organize the dynamics in phase space. The slow-fast structure of the dynamical system leads to phenomena such as canards, mixed-mode oscillations, and bifurcation delay. We'll discuss two projects involving chemical oscillators. The first is the analysis of a simple chemical model that exhibits complex oscillations. Its bifurcations are studied using a geometric reduction of the system to a one-dimensional induced map. The second investigates the slow-fast mechanisms generating mixed-mode oscillations in a model of the Belousov-Zhabotinsky (BZ) reaction. A mechanism called dynamic Hopf bifurcation is responsible for shaping the dynamics of the system. This webminar will be broadcast on (register, start EVO, webminar link is )