Bifurcation to spatially induced chaos in a reaction-diffusion system
1990; Elsevier BV; Volume: 46; Issue: 1 Linguagem: Inglês
10.1016/0167-2789(90)90111-2
ISSN1872-8022
AutoresJohn A. Vastano, Thomas Russo, Harry L. Swinney,
Tópico(s)Mathematical and Theoretical Epidemiology and Ecology Models
ResumoA one-dimensional reaction-diffusion equation is used to model a class of experimental open chemical systems in which spatiotemporal patterns can be sustained indefinitely. Numerical simulations for the model in parameter regimes corresponding to experiment reveal only low-dimensional behavior. The observed bifurcation sequence leads from steady state concentration profiles to temporally chaotic patterns. The physical mechanism that causes this behavior is deduced from analysis of the local dynamics: localized oscillators appear at each end of the reactor and one of the oscillators acts as a periodic forcing for the other. The numerical results are in good qualitative agreement with the experiments.
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