Geodesic
Conditions for Phase Locking and Dephasing of Autoresonant Pumping
Russian journal of nonlinear dynamics, Tome 15 (2019) no. 3, pp. 381-394

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We study the asymptotic behavior of nonlinear oscillators under an external driver with slowly changing frequency and amplitude. As a result, we obtain formulas for properties of the amplitude and frequency of the driver when the autoresonant behavior of the nonlinear oscillator is observed. Also, we find the measure of autoresonant asymptotic behaviors for such a driven nonlinear oscillator.
Keywords: nonlinear oscillator, autoresonance
Mots-clés : perturbations. 
@article{ND_2019_15_3_a13,
     author = {O. M. Kiselev},
     title = {Conditions for {Phase} {Locking} and {Dephasing} of {Autoresonant} {Pumping}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {381--394},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2019_15_3_a13/}
}
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O. M. Kiselev. Conditions for Phase Locking and Dephasing of Autoresonant Pumping. Russian journal of nonlinear dynamics, Tome 15 (2019) no. 3, pp. 381-394. http://geodesic.mathdoc.fr/item/ND_2019_15_3_a13/