### Nonlinear Science Webminar - Multiple Time Scale Dynamics in Chemical Oscillators

- Series
- Other Talks
- Time
- Monday, December 6, 2010 - 10:00 for 1 hour (actually 50 minutes)
- Location
- Physics Howey 501
- Speaker
- Chris Scheper – 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 evo.caltech.edu (register, start EVO,
webminar link is evo.caltech.edu/evoNext/koala.jnlp?meeting=MMMeMn2e2sDDDD9v9nD29M )