On the frequency of a nonlinear oscillator (Q2231170)

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On the frequency of a nonlinear oscillator
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    On the frequency of a nonlinear oscillator (English)
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    29 September 2021
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    In this paper, the author studies the question of the dependence of the frequency or the period on the energy in nonlinear oscillations. It is proved that the frequency depends on the energy monotonically under certain conditions. Moreover, the asymptotics of the period with respect to the energy is constructed for oscillations near separatrix trajectories.
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    nonlinear oscillations
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    period
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    frequency
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    asymptotics
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