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Modified Function Projective Synchronization of Fractional Order Chaotic Systems with Different Dimensions

Author

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  • Hong-Juan Liu
  • Zhi-Liang Zhu
  • Hai Yu
  • Qian Zhu

Abstract

The modified function projective synchronization of different dimensional fractional-order chaotic systems with known or unknown parameters is investigated in this paper. Based on the stability theorem of linear fractional-order systems, the adaptive controllers with corresponding parameter update laws for achieving the synchronization are given. The fractional-order chaotic system and hyperchaotic system are applied to achieve synchronization in both reduced order and increased order. The corresponding numerical results coincide with theoretical analysis.

Suggested Citation

  • Hong-Juan Liu & Zhi-Liang Zhu & Hai Yu & Qian Zhu, 2013. "Modified Function Projective Synchronization of Fractional Order Chaotic Systems with Different Dimensions," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-7, November.
    • Handle: RePEc:hin:jnddns:763564
    DOI: 10.1155/2013/763564
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