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Modified Function Projective Synchronization between Different Dimension Fractional‐Order Chaotic Systems

Author

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  • Ping Zhou
  • Rui Ding

Abstract

A modified function projective synchronization (MFPS) scheme for different dimension fractional‐order chaotic systems is presented via fractional order derivative. The synchronization scheme, based on stability theory of nonlinear fractional‐order systems, is theoretically rigorous. The numerical simulations demonstrate the validity and feasibility of the proposed method.

Suggested Citation

  • Ping Zhou & Rui Ding, 2012. "Modified Function Projective Synchronization between Different Dimension Fractional‐Order Chaotic Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:862989
    DOI: 10.1155/2012/862989
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    References listed on IDEAS

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    1. Yu, Yongguang & Li, Han-Xiong, 2008. "The synchronization of fractional-order Rössler hyperchaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1393-1403.
    2. Yi-You Hou, 2012. "Controlling Chaos in Permanent Magnet Synchronous Motor Control System via Fuzzy Guaranteed Cost Controller," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Ge, Zheng-Ming & Ou, Chan-Yi, 2007. "Chaos in a fractional order modified Duffing system," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 262-291.
    4. Asad Freihat & Shaher Momani, 2012. "Adaptation of Differential Transform Method for the Numeric‐Analytic Solution of Fractional‐Order Rössler Chaotic and Hyperchaotic Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Wang, Sha & Yu, Yongguang & Diao, Miao, 2010. "Hybrid projective synchronization of chaotic fractional order systems with different dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4981-4988.
    6. Asad Freihat & Shaher Momani, 2012. "Adaptation of Differential Transform Method for the Numeric-Analytic Solution of Fractional-Order Rössler Chaotic and Hyperchaotic Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, April.
    7. Yi-You Hou, 2012. "Controlling Chaos in Permanent Magnet Synchronous Motor Control System via Fuzzy Guaranteed Cost Controller," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, August.
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    Cited by:

    1. Xinsong Yang & Chuangxia Huang & Zhichun Yang, 2012. "Stochastic Synchronization of Reaction‐Diffusion Neural Networks under General Impulsive Controller with Mixed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    3. Yong Xu & Hua Wang, 2013. "Synchronization of Fractional‐Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Xinsong Yang & Shuang Ai & Tingting Su & Ancheng Chang, 2013. "Synchronization of General Complex Networks with Hybrid Couplings and Unknown Perturbations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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