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Master-Slave Synchronization of Chaotic Φ 6 Duffing Oscillators by Linear State Error Feedback Control

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  • Ke Ding

Abstract

This paper is concerned with master-slave synchronization of chaotic Duffing oscillators by using linear state error feedback control. Compared with some existing methods and results, this paper estimates the bound of the first trajectory (variable) of the controlled slave system and uses this bound to derive synchronization criteria for two chaotic Duffing oscillators. The effectiveness of synchronization criteria is illustrated by three simulation examples.

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  • Ke Ding, 2019. "Master-Slave Synchronization of Chaotic Φ 6 Duffing Oscillators by Linear State Error Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, October.
    • Handle: RePEc:hin:complx:3637902
    DOI: 10.1155/2019/3637902
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    References listed on IDEAS

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    1. Njah, A.N. & Vincent, U.E., 2008. "Chaos synchronization between single and double wells Duffing–Van der Pol oscillators using active control," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1356-1361.
    2. Wu, Xiaofeng & Cai, Jianping & Wang, Muhong, 2008. "Global chaos synchronization of the parametrically excited Duffing oscillators by linear state error feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 121-128.
    3. Christos Volos & Ioannis Kyprianidis & Ioannis Stouboulos & Sundarapandian Vaidyanathan, 2016. "Design of a Chaotic Random Bit Generator Using a Duffing - van der Pol System," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 5(3), pages 94-111, July.
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