Quadrature Synchronization of Two Van der Pol Oscillators Coupled by Fractional-Order Derivatives

  • Aman K. SinghEmail author
  • R. D. S. Yadava
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 714)


The paper presents a theoretical analysis of the synchronization behavior of two coupled Van der Pol oscillators, where the coupling is defined by fractional-order derivatives. The condition for frequency synchronization is obtained for the two oscillators being in-phase quadrature. It is found that the synchronization frequency oscillates rapidly with respect to the deviations from phase quadrature and the order of fractional derivative. The linear stability analysis is carried out by analyzing the roots of Jacobian on phase error.


Coupled Van der Pol oscillators Synchronization Fractional-order coupling Quadrature oscillators 



The author AKS is thankful to University Grants Commission (UGC, Govt. of India, Delhi) for financial assistance.


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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Sensors & Signal Processing Laboratory, Department of PhysicsInstitute of Science, Banaras Hindu UniversityVaranasiIndia

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