Title
Bifurcations and chaos in a predator-prey model with delay and a laser-diode system with self-sustained pulsations
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
ISSN
0960-0779
Recommended Citation
"Bifurcations and chaos in a predator-prey model with delay and a laser-diode system with self-sustained pulsations" (2003). Faculty Bibliography 2000s. 3868.
https://stars.library.ucf.edu/facultybib2000/3868
Comments
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