Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations

DOI10.1070/SM8883zbMath1383.34066OpenAlexW2614372683MaRDI QIDQ4596680

V. S. Belonosov

Publication date: 4 December 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8883

zbMATH Keywords

parametric resonanceaveraging methodhyperbolic equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Averaging method for ordinary differential equations (34C29) Linear differential equations in abstract spaces (34G10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

• Asymptotic and numerical analysis of parametric resonance in a nonlinear system of two oscillators
• Numerical investigation of parametric resonance in water-oil structures containing gas.
• A hydrodynamic model of water-oil layered systems containing gas
• Instability of a nonlinear system of two oscillators under main and combination resonances
• The spectral properties of distributions and asymptotic methods in perturbation theory
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