Explosion of limit cycles and chaotic waves in a simple nonlinear chemical system

Morten Brøns, Jeppe Sturis

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    Abstract

    A model of an autocatalytic chemical reaction was employed to study the explosion of limit cycles and chaotic waves in a nonlinear chemical system. The bifurcation point was determined using asymptotic analysis and perturbations. Scaling laws for amplitude and period were derived. A strong sensitivity was introduced due to bifurcation to infinity resulting in chaotic dynamics on adding diffusion.
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume64
    Issue number2
    Pages (from-to)026209
    ISSN1063-651X
    DOIs
    Publication statusPublished - 2001

    Bibliographical note

    Copyright (2001) American Physical Society

    Keywords

    • REACTION SCHEME

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