摘要We consider a three-dimensional generalization of the two-dimensional Hénon map. We first investigate the emergence of quasiperiodic states, as a result of Naimark–Sacker bifurcations of period-1 and period-2 orbits. Secondly we investigate the disappearance of the resonance torus in the transition from quasiperiodicity to chaos.
Abstract：We consider a three-dimensional generalization of the two-dimensional Hénon map. We first investigate the emergence of quasiperiodic states, as a result of Naimark–Sacker bifurcations of period-1 and period-2 orbits. Secondly we investigate the disappearance of the resonance torus in the transition from quasiperiodicity to chaos.
Gabriela A. Casas**;Paulo C. Rech***
. Numerical Study of a Three-Dimensional Hénon Map[J]. 中国物理快报, 2011, 28(1): 10203-010203.
Gabriela A. Casas**, Paulo C. Rech***
. Numerical Study of a Three-Dimensional Hénon Map. Chin. Phys. Lett., 2011, 28(1): 10203-010203.
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2011, Vol. 28 
