RUS  ENG
Full version
JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2013 Volume 9, Number 3, Pages 409–419 (Mi nd397)

This article is cited in 2 papers

Synchronization of generators of quasiperiodic oscillations

Alexander P. Kuznetsova, Natalia V. Stankevichb

a Saratov Branch of Kotelnikov’s Institute of Radio-Engineering and Electronics of RAS, Zelenaya 38, Saratov, 410019, Russia
b Saratov State Technical University, Polytechnicheskaya st. 77, Saratov, 410054, Russia

Abstract: The dynamics of two coupled generators of quasiperiodic oscilltaions is studied. The opportunity of complete and phase synchronization of generators in the regime of quasiperiodic oscillations is obtained. The features of structure of parameter plane is researched using charts of dynamical regimes and charts of Lyapunov exponents, in which typical structures as resonance Arnold web were revealed. The possible quasiperiodic bifurctions in the system are discussed.

Keywords: dynamical systems, quasiperiodic oscillations,synchronization, bifurcations.

UDC: 517.9

MSC: 39Axx, 93D05

Received: 19.04.2013
Revised: 27.06.2013



© Steklov Math. Inst. of RAS, 2025