Instability of a nonlinear system of two oscillators under main and combination resonances

DOI10.1134/S0965542515010169zbMath1332.34075OpenAlexW2039584225MaRDI QIDQ2354416

Natalya Lyul'ko

Publication date: 13 July 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515010169

zbMATH Keywords

Hamiltonian systemsparametric resonanceaveraging methodfirst integralsnonlinear system of two oscillators

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (1)

Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations

Cites Work

• Asymptotic and numerical analysis of parametric resonance in a nonlinear system of two oscillators
• Theory of nonlinear lattices
• Local theory of nonlinear analytic ordinary differential equations
• The spectral properties of distributions and asymptotic methods in perturbation theory
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