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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 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.



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