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Chaotic behaviour of a diffusion-reaction system

✍ Scribed by P.J. Nandapurkar; V. Hlavacek; P. Van Rompay

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
998 KB
Volume
41
Category
Article
ISSN
0009-2509

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✦ Synopsis

Numerical computations for a one (space) dimensional reaction-diffusion system, exhibiting alternate regimes of periodic-aperiodic behaviour, are reported in this study. The bifurcation analysis reveals the following routes to chaos: (a) stable steady state -+ limit cycle -+ doubly periodic orbit --, strange attractor; (b) stable steady state + limit cycle -period doubling of the limit cycle. The chaos seems to be apparently caused by diffusion. Similar behaviour is also noticed in the transient simulation of a two space dimensional system. BIFURCATION ANALYSIS AND NUMERICAL SIMULATIONS According to Nandapurkar et al. (1984), the eigenvalues of the following matrix indicate the stability of

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