Geodesic
Nonlinear resonance in oscillatory circuit with fractal capacity
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 136-142

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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. 
@article{VSGU_2012_6_a13,
     author = {V. V. Zaitsev and Ar. V. Karlov},
     title = {Nonlinear resonance in oscillatory circuit with fractal capacity},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {136--142},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2012_6_a13/}
}
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V. V. Zaitsev; Ar. V. Karlov. Nonlinear resonance in oscillatory circuit with fractal capacity. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 136-142. http://geodesic.mathdoc.fr/item/VSGU_2012_6_a13/