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

Hossein Gholizade-Narm, Asad Azemi, Morteza Khademi

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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
Volume22
Issue number7
DOIs
StatePublished - Jul 1 2013

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frequency synchronization
synchronism
oscillators
resonant frequencies
low frequencies

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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Phase synchronization and synchronization frequency of two-coupled van der Pol oscillators with delayed coupling. / Gholizade-Narm, Hossein; Azemi, Asad; Khademi, Morteza.

In: Chinese Physics B, Vol. 22, No. 7, 070502, 01.07.2013.

Research output: Contribution to journalArticle

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