For citation:
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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UDC:
517.9
Dynamic regimes and multistability in the system of non-symmetrically coupled two-dimensional maps with period-doubling and Neimark–Sacker bifurcations
Autors:
Pozdnyakov Mihail Valerevich, Saratov State University
Abstract:
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.
Reference:
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Received:
01.03.2011
Accepted:
15.05.2011
Published:
30.09.2011
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