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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 6(97), Pages 136–142 (Mi vsgu37)  
Mathematic Modeling

Nonlinear resonance in oscillatory circuit with fractal capacity

V. V. Zaitsev, Ar. V. Karlov

The Dept. of Radiophysics and Computer Modelling of Radiotechnical Systems, Samara State University, Samara, 443011, Russian Federation
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Abstract: A model of oscillation circuit containing a nonlinear fractal component of capacity is proposed. The differential equation of motion of fractional order for forced oscillations under the action of an external signal is obtained. An approximate analytical solution of the equation of motion is conducted by methods of equivalent linearization and slowly varying amplitudes. The amplitude-frequency and phase response of fractional oscillator with cubic nonlinearity are analyzed.
Keywords: fractional dynamics, oscillating systems, slowly varying amplitudes, nonlinear resonance.
Received: 04.04.2012
Accepted: 04.04.2012
Document Type: Article
UDC: 537.862: 621.3.011.72
Language: Russian
Citation: V. V. Zaitsev, Ar. V. Karlov, “Nonlinear resonance in oscillatory circuit with fractal capacity”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 6(97), 136–142
Citation in format AMSBIB
\Bibitem{ZayKar12}
\by V.~V.~Zaitsev, Ar.~V.~Karlov
\paper Nonlinear resonance in oscillatory circuit with fractal capacity
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 6(97)
\pages 136--142
\mathnet{http://mi.mathnet.ru/vsgu37}
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