Asymptotic and numerical analysis of parametric resonance in a nonlinear system of two oscillators

zbMath1329.34093MaRDI QIDQ892036

A. N. Kudryavtsev, N. A. Kudryavtseva, Natalya Lyul'ko

Publication date: 18 November 2015

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: http://semr.math.nsc.ru/v11/p675-694.pdf

zbMATH Keywords

asymptotic and numerical analysis of resonanceinstability in nonlinear system of two oscillatorsmain and combinational parametric resonances

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Qualitative investigation and simulation of ordinary differential equation models (34C60) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (2)

Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations ⋮ Instability of a nonlinear system of two oscillators under main and combination resonances

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