Nonlinear Oscillations and Multiscale Dynamics in a Closed Chemical Reaction System
Author(s)
Li, Yongfeng
Qian, Hong
Yi, Yingfei
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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.
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Date
2009
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Text
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Pre-print