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Title of Article

OSCILLATIONS AND BIFURCATIONS IN COMPLEX SYSTEMS WITH PHASE CONTROL


Issue
4
Date
2011

Article type
scientific article
UDC
621.391
Pages
135-137
Keywords
 


Authors
Zaytsev Nikolay Igorevich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Ponomarenko Valeriy Pavlovich
NII prikladnoy matematiki i kibernetiki NNGU im. N.I. Lobachevskogo


Abstract
The paper deals with the problem of nonlinear dynamics of complex system with phase control combining phase-locked loop and automatic gain control loop. The behavior of the examined model is described by nonlinear two- and four-dimensional sets of differential equations with periodical nonlinearities. Stability of synchronous mode, bifurcations determining boundaries of domain with quality different behavior of the considered system, and oscillatory modes arising in domain where synchronous mode is unstable are studied. Results are presented using two-parameter bifurcation diagrams, phase portraits of attractors, time realizations of oscillations, and Poincare maps

File (in Russian)