Bifurcations and chaos in a predator-prey model with delay and a laser-diode system with self-sustained pulsations

    Authors

    S. Krise;S. R. Choudhury

    Comments

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    Abbreviated Journal Title

    Chaos Solitons Fractals

    Keywords

    STABLE OSCILLATIONS; TIME-LAG; ATTRACTORS; Mathematics, Interdisciplinary Applications; Physics, Multidisciplinary; Physics, Mathematical

    Abstract

    Hopf bifurcations in two models, a predator-prey model with delay terms modeled by "weak generic kernel a exp (-at)" and a laser diode system, are considered. The periodic orbit immediately following the Hopf bifurcation is constructed for each system using the method of multiple scales, and its stability is analyzed. Numerical solutions reveal,the existence of stable periodic attractors, attractors at infinity, as well as bounded chaotic dynamics in various cases..The dynamics exhibited by the two systems is contrasted and explained on the basis of the bifurcations occurring in each. (C) 2002 Elsevier Science Ltd. All rights reserved.

    Journal Title

    Chaos Solitons & Fractals

    Volume

    16

    Issue/Number

    1

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    59

    Last Page

    77

    WOS Identifier

    WOS:000179684100007

    ISSN

    0960-0779

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