Abstract
The paper considers the modified Van der Pol-Duffing oscillator of fractional order. Chaotic behavior of the system is analyzed and the problem of synchronization of two modified Van der Pol-Duffing systems via master/slave configuration with linear coupling is considered. A simple sufficient condition for synchronization is proposed. This condition is based on the chaos stabilization method derived by Jiang et. al. [Chaos Solitons and Fractals, 2003] for the global synchronization of two coupled general chaotic integer order systems with a unidirectional linear error feedback coupling. Numerical simulations show the effectiveness of theoretical considerations.
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Busłowicz, M., Makarewicz, A. (2014). Chaos Synchronization of the Modified Van der Pol-Duffing Oscillator of Fractional Order. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Recent Advances in Automation, Robotics and Measuring Techniques. Advances in Intelligent Systems and Computing, vol 267. Springer, Cham. https://doi.org/10.1007/978-3-319-05353-0_4
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DOI: https://doi.org/10.1007/978-3-319-05353-0_4
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