Chaotic behavior of reaction systems: mixed cubic and quadratic autocatalysis

✍ Scribed by David T. Lynch

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 998 KB
• Volume: 47
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(92)85121-q

✦ Synopsis

family of parallel and consecutive autocatalytic reaction systems has heen examined. It is shown that chaotic behavior is possible for several members of this family. In particular, systems of two parallel or consecutive reactions based on cubic, or mixed quadratic and cubic, autocatalysis give rise to chaos. Lyapunov exponents are used to delineate ranges of parameter values for which chaotic behavior is possible. It is found that chaos can occur over wide ranges of values of certain of the parameters, with very complex transitions between chaos and periodicity occurring as the parameters are varied. The transitions to chaos can occur either via a period-doubling route or via a process involving intermittency. A comparison is made between these autocatalytic systems and the analogous nonisothermal reaction systems for which chaotic behavior has previously been shown to be possible.