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Modelirovanie i Analiz Informatsionnykh Sistem, 2008, Volume 15, Number 2, Pages 67–71 (Mi mais101)  

Parametric excitation of chaotic oscillations in one second order differential equation with delay

E. P. Kubishkin, A. Yu. Koverga

Yaroslavl State University
References:
Abstract: We study some differential equations with delay that are the models of different electronic devices. We show that the internal resonance is a reason why the regions associated with chaotic oscillations appear in the parametric resonance domain. The scenario of the chaotic oscillations emergence is studied. We calculate Lyapunov exponents and Lyapunov dimension of the chaotic attractor.
Received: 30.04.2008
UDC: 517.38:62-50
Language: Russian
Citation: E. P. Kubishkin, A. Yu. Koverga, “Parametric excitation of chaotic oscillations in one second order differential equation with delay”, Model. Anal. Inform. Sist., 15:2 (2008), 67–71
Citation in format AMSBIB
\Bibitem{KubKov08}
\by E.~P.~Kubishkin, A.~Yu.~Koverga
\paper Parametric excitation of chaotic oscillations in one second order differential equation with delay
\jour Model. Anal. Inform. Sist.
\yr 2008
\vol 15
\issue 2
\pages 67--71
\mathnet{http://mi.mathnet.ru/mais101}
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  • https://www.mathnet.ru/eng/mais/v15/i2/p67
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    Моделирование и анализ информационных систем
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