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Synchronization of two coupled fractional-order chaotic oscillators

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  • Gao, Xin
  • Yu, Juebang

Abstract

The dynamics of fractional-order systems have attracted increasing attentions in recent years. In this paper, the synchronization of two coupled nonlinear fractional order chaotic oscillators is numerically demonstrated using the master–slave synchronization scheme. It is shown that fractional-order chaotic oscillators can be synchronized with appropriate coupling strength.

Suggested Citation

  • Gao, Xin & Yu, Juebang, 2005. "Synchronization of two coupled fractional-order chaotic oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 141-145.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:1:p:141-145
    DOI: 10.1016/j.chaos.2004.12.030
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    References listed on IDEAS

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    1. Li, Chunguang & Chen, Guanrong, 2004. "Chaos and hyperchaos in the fractional-order Rössler equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 55-61.
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    Cited by:

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    2. Hind Hashem & Ahmed El-Sayed & Dumitru Baleanu, 2019. "Existence Results for Block Matrix Operator of Fractional Orders in Banach Algebras," Mathematics, MDPI, vol. 7(9), pages 1-9, September.
    3. Ge, Zheng-Ming & Yi, Chang-Xian, 2007. "Chaos in a nonlinear damped Mathieu system, in a nano resonator system and in its fractional order systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 42-61.
    4. González-Olvera, Marcos A. & Tang, Yu, 2018. "Contraction analysis for fractional-order nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 255-263.
    5. Shao, Shiquan, 2009. "Controlling general projective synchronization of fractional order Rossler systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1572-1577.
    6. Sun, Yeong-Jeu, 2009. "Exponential synchronization between two classes of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2363-2368.
    7. Balootaki, Mohammad Ahmadi & Rahmani, Hossein & Moeinkhah, Hossein & Mohammadzadeh, Ardashir, 2020. "On the Synchronization and Stabilization of fractional-order chaotic systems: Recent advances and future perspectives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).

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