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Chaos synchronization for continuous chaotic systems by inertial manifold approach

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  • Xie, Lingli
  • Teo, Kok-lay
  • Zhao, Yi

Abstract

In this paper, we are concerned with the complete and generalized synchronization problems for chaotic ODE systems. Some general results are obtained by means of inertial manifold theory. Some examples, supported by numerical simulation, are given to illustrate the conciseness and effectiveness of the method.

Suggested Citation

  • Xie, Lingli & Teo, Kok-lay & Zhao, Yi, 2007. "Chaos synchronization for continuous chaotic systems by inertial manifold approach," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 234-245.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:1:p:234-245
    DOI: 10.1016/j.chaos.2005.10.105
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    References listed on IDEAS

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    1. Chen, Hsien-Keng, 2005. "Synchronization of two different chaotic systems: a new system and each of the dynamical systems Lorenz, Chen and Lü," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1049-1056.
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    Cited by:

    1. Li, Demin & Wang, Zidong & Zhou, Jie & Fang, Jian’an & Ni, Jinjin, 2008. "A note on chaotic synchronization of time-delay secure communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1217-1224.
    2. Wang, Jiang & Che, Yan-Qiu & Zhou, Si-Si & Deng, Bin, 2009. "Unidirectional synchronization of Hodgkin–Huxley neurons exposed to ELF electric field," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1335-1345.
    3. Qin, Weiyang & Yang, Yongfen & Kang, Zhaohui & Ren, Xingmin, 2009. "Controlling chaos and response of dynamical system by synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1466-1473.

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