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Oscillations and synchronization in a system of three reactively coupled oscillators

2015/03/31 by Alexander P. Kuznetsov, Ludmila V. Turukina, Nikolai Yu. Chernyshov +1 · 1 citation
Physics and Astronomy · #nlin.CD

paper · pdf · doi:10.1142/s0218127416500103

7 pages, 8 figures

arxiv created 2015/04/13 · arxiv updated 2016/03/23

Abstract

We consider a system of three interacting van der Pol oscillators with reactive coupling. Phase equations are derived, using proper order of expansion over the coupling parameter. The dynamics of the system is studied by means of the bifurcation analysis and with the method of Lyapunov exponent charts. Essential and physically meaningful features of the reactive coupling are discussed.

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