arXiv subjects

Nikolai Yu. Chernyshov

Publications and source records attributed to Nikolai Yu. Chernyshov.

2 recordsLinked to original sources

arXiv2015

Oscillations and synchronization in a system of three reactively coupled oscillators

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.

nlin.CD↗

arXiv2013

Structure of the eigenfrequencies parameter space for the system of dissipatively coupled oscillators

Structure of the eigenfrequencies parameter space for three and four dissipatively coupled van der Pol oscillators is discussed. Situations of different codimension relating to the configuration of the full synchronization area as well as a picture of different modes in its neighborhood are revealed. The organization of quasi-periodic areas of different dimensions is considered. The results for the phase model and for the original system are compared.

nlin.CD↗