Synchronization analysis of coupled Lienard-type oscillators by averaging

Date

2012-08-01

Author

Tuna, Sezai Emre

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Sufficient conditions for the synchronization of coupled Lienard-type oscillators are investigated via averaging technique. The coupling considered here is fixed, nonsymmetric, and nonlinear. Under the assumption that the interconnection topology defines a connected graph, it is shown that the solutions of oscillators converge arbitrarily close to each other, starting from initial conditions arbitrarily far apart, provided that the frequency of oscillations is large enough and the initial phases of oscillators all lie in an open semicircle. It is also shown that the nearly-synchronized oscillations always take place around some fixed magnitude independent of the initial conditions and the coupling functions.

Subject Keywords

Nonlinear coupling, Averaging, Van der Pol oscillator, Lienard oscillator, Synchronization

URI

https://hdl.handle.net/11511/40720

Journal

AUTOMATICA

DOI

https://doi.org/10.1016/j.automatica.2012.05.075

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

S. E. Tuna, “Synchronization analysis of coupled Lienard-type oscillators by averaging,” AUTOMATICA, pp. 1885–1891, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40720.