Chaos Synchronization of the Modified Van der Pol-Duffing Oscillator of Fractional Order

  • Mikołaj Busłowicz
  • Adam Makarewicz
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 267)


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.


fractional Van der Pol-Duffing system chaos synchronization 


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© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Faculty of Electrical EngineeringBiałystok University of TechnologyBialystokPoland
  2. 2.Doctoral Study, Faculty of Electrical EngineeringBiałystok University of TechnologyBialystokPoland

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