Time

Nov 5 2009 - 2:30pm - 3:30 pm

Location

EA 295

Speaker

Yongfeng Li (IMA)

Abstract

In this talk, we will discuss the nonlinear oscillatory
chemical dynamics in a closed isothermal reaction system: a reversible
Lotka-Volterra model. This is a 3D dissipative, singular perturbation of a
conserved Lotka-Volterra model, with free energy serving as the global
Lyapunov function. We will show that while the reaction eventually reaches
the chemical equilibrium, quasi-stationary oscillations occurs as
interesting intermediate dynamics. Moreover, there is a natural
distinction between oscillatory and non-oscillatory regions in the phase
space.