Hyperchaotic behavior in a non-autonomous unified chaotic system with continuous periodic switch

X. Wu; J. Wang; J-A. Lu; Herbert Iu

doi:10.1016/j.chaos.2005.11.100

Hyperchaotic behavior in a non-autonomous unified chaotic system with continuous periodic switch

X. Wu, J. Wang, J-A. Lu, Herbert Iu

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Abstract

This paper further investigates a non-autonomous unified chaotic system with continuous periodic switch found in [Lu J, Wu X. A unified chaotic system with continuous periodic switch. Chaos, Solitons & Fractals 2004;20:245-51], which is another different realization for the unified chaotic system developed in [Lu J, Chen G, Cheng D, Celikovsky S. Bridge the gap between the Lorenz system and the Chen system, lilt J Bifurcat Chaos 2002; 12:2917-26]. Hyperchaofic behavior is discovered within some system parameter range, which has not yet been reported before. The detailed behaviors of this system are not only dernonstrated by computer simulations but also verified with Lyapunov exponents spectrum, bifurcation analysis and Poincdre maps. (c) 2005 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	1485-1490
Journal	Chaos Solitons & Fractals
Volume	32
Issue number	4
DOIs	https://doi.org/10.1016/j.chaos.2005.11.100
Publication status	Published - 2007

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Wu, X., Wang, J., Lu, J-A., & Iu, H. (2007). Hyperchaotic behavior in a non-autonomous unified chaotic system with continuous periodic switch. Chaos Solitons & Fractals, 32(4), 1485-1490. https://doi.org/10.1016/j.chaos.2005.11.100

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abstract = "This paper further investigates a non-autonomous unified chaotic system with continuous periodic switch found in [Lu J, Wu X. A unified chaotic system with continuous periodic switch. Chaos, Solitons & Fractals 2004;20:245-51], which is another different realization for the unified chaotic system developed in [Lu J, Chen G, Cheng D, Celikovsky S. Bridge the gap between the Lorenz system and the Chen system, lilt J Bifurcat Chaos 2002; 12:2917-26]. Hyperchaofic behavior is discovered within some system parameter range, which has not yet been reported before. The detailed behaviors of this system are not only dernonstrated by computer simulations but also verified with Lyapunov exponents spectrum, bifurcation analysis and Poincdre maps. (c) 2005 Elsevier Ltd. All rights reserved.",

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AU - Wang, J.

AU - Lu, J-A.

AU - Iu, Herbert

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Y1 - 2007

N2 - This paper further investigates a non-autonomous unified chaotic system with continuous periodic switch found in [Lu J, Wu X. A unified chaotic system with continuous periodic switch. Chaos, Solitons & Fractals 2004;20:245-51], which is another different realization for the unified chaotic system developed in [Lu J, Chen G, Cheng D, Celikovsky S. Bridge the gap between the Lorenz system and the Chen system, lilt J Bifurcat Chaos 2002; 12:2917-26]. Hyperchaofic behavior is discovered within some system parameter range, which has not yet been reported before. The detailed behaviors of this system are not only dernonstrated by computer simulations but also verified with Lyapunov exponents spectrum, bifurcation analysis and Poincdre maps. (c) 2005 Elsevier Ltd. All rights reserved.

AB - This paper further investigates a non-autonomous unified chaotic system with continuous periodic switch found in [Lu J, Wu X. A unified chaotic system with continuous periodic switch. Chaos, Solitons & Fractals 2004;20:245-51], which is another different realization for the unified chaotic system developed in [Lu J, Chen G, Cheng D, Celikovsky S. Bridge the gap between the Lorenz system and the Chen system, lilt J Bifurcat Chaos 2002; 12:2917-26]. Hyperchaofic behavior is discovered within some system parameter range, which has not yet been reported before. The detailed behaviors of this system are not only dernonstrated by computer simulations but also verified with Lyapunov exponents spectrum, bifurcation analysis and Poincdre maps. (c) 2005 Elsevier Ltd. All rights reserved.

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DO - 10.1016/j.chaos.2005.11.100

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EP - 1490

JO - Chaos Solitons & Fractals

JF - Chaos Solitons & Fractals

SN - 0960-0779

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10.1016/j.chaos.2005.11.100