Chaotic behavior of an autocatalytic reaction with mutation

Authors
Citation
K. Alhumaizi, Chaotic behavior of an autocatalytic reaction with mutation, CHAOS SOL F, 11(8), 2000, pp. 1279-1286
Citations number
11
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
11
Issue
8
Year of publication
2000
Pages
1279 - 1286
Database
ISI
SICI code
0960-0779(200006)11:8<1279:CBOAAR>2.0.ZU;2-C
Abstract
A conceptual model of an autocatalytic reaction in a continuous stirred tan k reactor in which the autocatalyst undergoes mutation has been examined. T he model consists of a simple set of three ordinary differential equations with seven design parameters. It is shown that self-sustained chaotic behav ior can occur in this system. The regions of chaos are entered and exited a ccording to period-doubling cascades or through a process involving intermi ttency. Lyapunov exponents are calculated to confirm the chaotic behavior. (C) 2000 Elsevier Science Ltd. All rights reserved.