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Numerical Study of a Three-Dimensional Hénon Map |
| Gabriela A. Casas**, Paulo C. Rech***
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Departamento de Física, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil
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| Cite this article: |
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Gabriela A. Casas, Paulo C. Rech 2011 Chin. Phys. Lett. 28 010203 |
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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.
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02.30.Rz
05.45.Pq
05.45.Ac
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Received: 19 September 2010
Published: 23 December 2010
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| PACS: |
02.30.Rz
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(Integral equations)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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05.45.Ac
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(Low-dimensional chaos)
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