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Phys. Rev. E 63, 036225 (2001) [8 pages]

Phase-frequency synchronization in a chain of periodic oscillators in the presence of noise and harmonic forcings

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Tatjana E. Vadivasova, Galina I. Strelkova, and Vadim S. Anishchenko
Laboratory of Nonlinear Dynamics, Department of Physics, Saratov State University, 410026 Saratov, Russia

Received 1 September 2000; published 27 February 2001

We study numerically the effects of noise and periodic forcings on cluster synchronization in a chain of Van der Pol oscillators. We generalize the notion of effective synchronization to the case of a spatially extended system. It is shown that the structure of synchronized clusters can be effectively controlled by applying local external forcings. The effect of amplitude relations on the phase dynamics is also explored.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.036225
DOI:
10.1103/PhysRevE.63.036225
PACS:
05.45.Xt