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Preprints of the Keldysh Institute of Applied Mathematics, 2006, 045, 32 pp. (Mi ipmp593)  

Shilnikov's chaos in the Rosenzweig–Macarthur system

M.-G. M. Zulpukarov, G. G. Malinetskii
Abstract: This work reviews one of the chaotic modes (Shilnikov's chaos) in the singularly perturbed system of three differential equations, known as the Rosenzweig–Macarthur tritrophic food chain model. A special attention is paid to the appearing of the strange attractor in this model.
Document Type: Preprint
Language: Russian
Citation: M.-G. M. Zulpukarov, G. G. Malinetskii, “Shilnikov's chaos in the Rosenzweig–Macarthur system”, Keldysh Institute preprints, 2006, 045, 32 pp.
Citation in format AMSBIB
\Bibitem{ZulMal06}
\by M.-G.~M.~Zulpukarov, G.~G.~Malinetskii
\paper Shilnikov's chaos in the Rosenzweig--Macarthur system
\jour Keldysh Institute preprints
\yr 2006
\papernumber 045
\totalpages 32
\mathnet{http://mi.mathnet.ru/ipmp593}
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  • https://www.mathnet.ru/eng/ipmp/y2006/p45
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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