Nonlinear Oscillations and Multiscale Dynamics in a Closed Chemical Reaction System
Source: Journal of Dynamics and Differential Equations, Volume 22, Number 3, September 2010 , pp. 491-507(17)
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 transient dynamics.
Document Type: Research article
Affiliations: 1: Institute for Mathematics and its Applications, University of Minnesota, 207 Church St. S.E., Minneapolis, MN, 55455-0134, USA, Email: email@example.com 2: Department of Applied Mathematics, University of Washington, Seattle, WA, 98195, USA, Email: firstname.lastname@example.org 3: School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332-0160, USA, Email: email@example.com
Publication date: 2010-09-01