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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2011, Issue 3(8), Pages 69–73 (Mi pfmt115)  
MATHEMATICS

Influence of delay on stationary states of the non-autonomous van der Pol-Duffing oscillator

R. I. Korzhik, S. P. Zhogal

F. Skorina Gomel State University, Gomel
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Abstract: The effect of delay on dynamical regimes of the abridged equation of the non-autonomous van der Pol–Duffing oscillator with an external harmonic influence was investigated. The abridged equation was derived and the maps of dynamical regimes for different values of the parameter characterizing the delay were presented.
Keywords: van der Pol–Duffing oscillator, stationary states, influence of delay, abridged equation, external periodic effect, Routh–Hurwitz stability criterion, bifurcation.
Received: 23.05.2011
Document Type: Article
UDC: 517.9:530.182
Language: Russian
Citation: R. I. Korzhik, S. P. Zhogal, “Influence of delay on stationary states of the non-autonomous van der Pol-Duffing oscillator”, PFMT, 2011, no. 3(8), 69–73
Citation in format AMSBIB
\Bibitem{KorZho11}
\by R.~I.~Korzhik, S.~P.~Zhogal
\paper Influence of delay on stationary states of the non-autonomous van der Pol-Duffing oscillator
\jour PFMT
\yr 2011
\issue 3(8)
\pages 69--73
\mathnet{http://mi.mathnet.ru/pfmt115}
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