Intermingled basins in a two species system

We present simple examples of (competitive) two species systems with complicated dynamic behaviour. From almost all initial conditions one of the two species dies out. But the survivor is unpredictable: The basins of the two chaotic one-species attractors are everywhere dense and intermingled.

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Bibliographic Details
Published in:Journal of mathematical biology 2004-09, Vol.49 (3), p.293-293
Main Authors: Hofbauer, Franz, Hofbauer, Josef, Raith, Peter, Steinberger, Thomas
Format: Article
Language:English
Subjects:
Algorithms
Animals
Competitive Behavior
Ecosystem
Models, Biological
Nonlinear Dynamics
Population Dynamics
Species Specificity
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Description
Summary:We present simple examples of (competitive) two species systems with complicated dynamic behaviour. From almost all initial conditions one of the two species dies out. But the survivor is unpredictable: The basins of the two chaotic one-species attractors are everywhere dense and intermingled.
ISSN:0303-6812
1432-1416
DOI:10.1007/s00285-003-0253-3