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Oscillators with a generalized power-form elastic term

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Publication:2881711
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DOI10.1016/S0022-460X(03)00531-5zbMath1236.70037MaRDI QIDQ2881711

Valery N. Pilipchuk

Publication date: 3 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)



Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) General perturbation schemes for nonlinear problems in mechanics (70K60) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)


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A non-simultaneous variational approach for the oscillators with fractional-order power nonlinearities, Nonlinear oscillator with power-form elastic-term: Fourier series expansion of the exact solution, Limit cycles of non-smooth oscillators, Oscillators with a fractional-order restoring force: higher-order approximations for motion via a modified Ritz method



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