ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Pozdnyakov M. V. Dynamic regimes and multistability in the system of non-symmetrically coupled two-dimensional maps with period-doubling and Neimark–Sacker bifurcations. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 4, pp. 68-76. DOI: 10.18500/0869-6632-2011-19-4-68-76

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Dynamic regimes and multistability in the system of non-symmetrically coupled two-dimensional maps with period-doubling and Neimark–Sacker bifurcations

Pozdnyakov Mihail Valerevich, Saratov State University

The phenomenon of multistability in the system of coupled universal two-dimensional maps which shows period-doubling and Neimark–Sacker bifurcations is investigated. The decreasing of possible coexisting attractors number, the evolution of the attractor basins, the disappearance of hyperchaos and three-dimensional torus while putting coupling asymmetry are exposed.

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