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Title of Article

SIMULATION OF SELF-OSCILLATING SYSTEM DYNAMIC BEHAVIOUR WITH AUTOMATIC OSCILLATION FREQUENCY AND AMPLITUDE CONTROL


Issue
1
Date
2012

Section
MATHEMATICAL MODELING. ОPTIMAL CONTROL

Article type
scientific article
UDC
621.391.01
Pages
129-137
Keywords
phase control systems, dynamic states, stability, bifurcations, attractors, phase portraits, tracking mode, nonsynchronous modes, dynamic chaos


Authors
Ponomarenko Valeriy Pavlovich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

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


Abstract
We present the results of our qualitative and numerical study of nonlinear dynamics of an automatic system for controlling the frequency and amplitude of oscillations. It is shown that by changing the control circuit and the initial frequency mismatch parameters in such a system, one can establish either the synchronous tracking mode or non-synchronous periodic and chaotic modes of varying complexity.

File (in Russian)