Phase synchronization and synchronization frequency of two-coupled van der Pol oscillators with delayed coupling

Hossein Gholizade-Narm, Asad Azemi, Morteza Khademi

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In this paper, phase synchronization and the frequency of two synchronized van der Pol oscillators with delay coupling are studied. The dynamics of such a system are obtained using the describing function method, and the necessary conditions for phase synchronization are also achieved. Finding the vicinity of the synchronization frequency is the major advantage of the describing function method over other traditional methods. The equations obtained based on this method justify the phenomenon of the synchronization of coupled oscillators on a frequency either higher, between, or lower than the highest, in between, or lowest natural frequency of the aggregate oscillators. Several numerical examples simulate the different cases versus the various synchronization frequency delays.

Original languageEnglish (US)
Article number070502
JournalChinese Physics B
Issue number7
StatePublished - Jul 1 2013


All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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