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On chaos in Lotka-Volterra systems: an analytical approach
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
External - unknown .
2013 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 26, no 8, 2299-2314 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we study Lotka-Volterra systems with N species and n resources. We show that the long time dynamics of these systems may be complicated. Depending on parameter choice, they can generate all types of hyperbolic dynamics, in particular, chaotic ones. Moreover, Lotka-Volterra systems can generate Lorenz dynamics. We state the conditions on the strong persistence of Lotka-Volterra systems when the number of resources is less than the number of species.

Place, publisher, year, edition, pages
London Mathematical Society / Institute of Physics: Hybrid Open Access , 2013. Vol. 26, no 8, 2299-2314 p.
National Category
Natural Sciences
URN: urn:nbn:se:liu:diva-96416DOI: 10.1088/0951-7715/26/8/2299ISI: 000321954900007OAI: diva2:641957

Funding Agencies|Linkoping University||Russian Ministry of Education|2012-1.2.1-12-000-1013-016|Swedish Research Council||

Available from: 2013-08-20 Created: 2013-08-19 Last updated: 2013-08-20

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