Title:
Nonlinear Oscillations and Multiscale Dynamics in a Closed Chemical Reaction System
Nonlinear Oscillations and Multiscale Dynamics in a Closed Chemical Reaction System
Files
Author(s)
Li, Yongfeng
Qian, Hong
Yi, Yingfei
Qian, Hong
Yi, Yingfei
Advisor(s)
Editor(s)
Collections
Supplementary to
Permanent Link
Abstract
We investigate the oscillatory chemical dynamics in a closed isothermal reaction
system described by the reversible Lotka-Volterra model. This is a three-dimensional, dissipative,
singular perturbation to the conservative Lotka-Volterra model, with the free energy serving as a global Lyapunov function. We will show that there is a natural distinction between oscillatory and non-oscillatory regions in the phase space, that is, while orbits ultimately reach the equilibrium in a non-oscillatory fashion, they exhibit damped, oscillatory behaviors as interesting intermediate dynamics.
Sponsor
Date Issued
2009
Extent
Resource Type
Text
Resource Subtype
Pre-print