Lag Synchronization in Coupled Multistable van der Pol-Duffing Oscillators | Zendy

Dawid Dudkowski | Zendy; Patrycja Kuzma | Zendy; Tomasz Kapitaniak | Zendy

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Lag Synchronization in Coupled Multistable van der Pol-Duffing Oscillators

Author(s) -

Dawid Dudkowski,

Patrycja Kuzma,

Tomasz Kapitaniak

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/650473

Subject(s) - van der pol oscillator , attractor , synchronization (alternating current) , lag , coupling (piping) , physics , bifurcation , statistical physics , coupling parameter , control theory (sociology) , phase synchronization , phase (matter) , mathematics , nonlinear system , computer science , mathematical analysis , topology (electrical circuits) , quantum mechanics , materials science , control (management) , combinatorics , artificial intelligence , metallurgy , computer network

We consider the system of externally excited identical van der Pol-Duffing oscillators unidirectionally coupled in a ring. When the coupling is introduced, each of the oscillator’s trajectories is on different attractor. We study the changes in the dynamics due to the increase in the coupling coefficient. Studying the phase of the oscillators, we calculate the parameter value for which we obtain the antiphase lag synchronization of the system and also the bifurcation values for which we observe qualitative changes in the dynamics of already synchronized system. We give evidence that lag synchronization is typical for coupled multistable systems

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