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• W2011885983 abstract "We analyze the bifurcations of a family of time-delayed Hénon maps of increasing dimension and determine the regions where the motion is attracted to different dynamical states. As a function of parameters that govern nonlinearity and dissipation, boundaries that confine asymptotic periodic motion are determined analytically, and we examine their dependence on the dimension d. For large d these boundaries converge. In low dimensions both the period-doubling and quasiperiodic routes to chaos coexist in the parameter space, but for high dimensions the latter predominates and prior to the onset of chaos, the systems exhibit multistability. When the nonlinearity parameter is varied, the dimension of chaotic attractors in the systems changes smoothly with increasing number of non-negative Lyapunov exponents." @default.
• W2011885983 created "2016-06-24" @default.
• W2011885983 creator A5054708803 @default.
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• W2011885983 date "2013-03-01" @default.
• W2011885983 modified "2023-10-18" @default.
• W2011885983 title "THE GENERALIZED TIME-DELAYED HÉNON MAP: BIFURCATIONS AND DYNAMICS" @default.
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• W2011885983 doi "https://doi.org/10.1142/s0218127413500454" @default.
• W2011885983 hasPublicationYear "2013" @default.
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