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Folia Oeconomica Stetinensia

The Journal of University of Szczecin

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Bifurcation, Chaos and Attractor in the Logistic Competition

Małgorzata Guzowska1

Department of Econometrics and Statistics, Faculty of Economics and Management, University of Szczecin, Mickiewicza 64, 71-101 Szczecin1

This content is open access.

Citation Information: Folia Oeconomica Stetinensia. Volume 10, Issue 2, Pages 7–18, ISSN (Online) 1898-0198, ISSN (Print) 1730-4237, DOI: 10.2478/v10031-011-0039-5, June 2012

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Bifurcation, Chaos and Attractor in the Logistic Competition

This paper deals with a two-dimensional discrete time competition model. The corresponding twodimensional iterative map is represented in terms of its bifurcation diagram in the parameter plane. A number of bifurcation sequences for attractors and their basins are studied.

Keywords: Discrete Logistic Competition Model; local stability; global stability; bifurcation; chaos; chaotic attractor

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