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Chaotic Dynamics in a Sine Square Map: High-Dimensional Case (N≥3) |
| XU Jie1, LONG Ke-Ping1, FOURNIER-PRUNARET Danièle2, TAHA Abdel-Kaddous2, CHARGE Pascal2 |
| 1School of Communication and Information Engineering, University of Electronic Science and Technology of China, Chengdu 611731 2LATTIS, INSA, Toulouse University, 135 avenue de Rangueil 31077 Toulouse 4, France |
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XU Jie, LONG Ke-Ping, FOURNIER-PRUNARET Danièle et al 2010 Chin. Phys. Lett. 27 080506 |
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Abstract We study an N-dimensional system based on a sine square map and analyze the system behaviors of cases of dimension N≥3 with the tools of nonlinear dynamics. In the three-dimensional case, bifurcations in the parameter plane, invariant manifolds, critical manifolds and chaotic attractors are studied. Then we extend this study to the cases of higher dimension (N>3) to understand generalized properties of the system. The analysis and experimental results of the system demonstrate the existence of bounded chaotic orbits, which can be considered for secure transmissions.
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05.45.Ac
05.45.Gg
05.45.Pq
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Received: 07 May 2010
Published: 28 July 2010
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| PACS: |
05.45.Ac
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(Low-dimensional chaos)
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05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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