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Symplectic Synchronization of Lorenz‐Stenflo System with Uncertain Chaotic Parameters via Adaptive Control

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  • Cheng-Hsiung Yang

Abstract

A new symplectic chaos synchronization of chaotic systems with uncertain chaotic parameters is studied. The traditional chaos synchronizations are special cases of the symplectic chaos synchronization. A sufficient condition is given for the asymptotical stability of the null solution of error dynamics and a parameter difference. The symplectic chaos synchronization with uncertain chaotic parameters may be applied to the design of secure communication systems. Finally, numerical results are studied for symplectic chaos synchronized from two identical Lorenz‐Stenflo systems in three different cases.

Suggested Citation

  • Cheng-Hsiung Yang, 2013. "Symplectic Synchronization of Lorenz‐Stenflo System with Uncertain Chaotic Parameters via Adaptive Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:528325
    DOI: 10.1155/2013/528325
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    References listed on IDEAS

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    1. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2009. "Symplectic synchronization of different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2532-2543.
    2. Tam, Lap Mou & Chen, Juhn Horng & Chen, Hsien Keng & Si Tou, Wai Meng, 2008. "Generation of hyperchaos from the Chen–Lee system via sinusoidal perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 826-839.
    3. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2008. "The generalized synchronization of a Quantum-CNN chaotic oscillator with different order systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 980-990.
    4. Vincent, U.E., 2008. "Synchronization of identical and non-identical 4-D chaotic systems using active control," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1065-1075.
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