Continuous normal form of a class of nonautonomous parametrically- perturbed systems and its application

DOI10.1016/0021-8928(83)90027-8zbMath0534.34013OpenAlexW1978423792MaRDI QIDQ790323

Ya. M. Gol'tser

Publication date: 1984

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(83)90027-8

zbMATH Keywords

bifurcationstationary moderesonance oscillationsnonlinear parametrically excited oscillationparametrically perturbed system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlinear dynamics in mechanics (70K99)

Related Items (2)

On a measure of the closeness of neutral systems to internal resonance ⋮ Normal forms for nonautonomous differential equations

Cites Work

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• Bifurcations and stability of neutral systems in the neighborhood of third order resonance
• Normal form of differential equations with a small parameter
• Normal form and stability of periodic systems with internal resonance
• On stability of autonomous systems with internal resonance
• On the strong stability of resonant systems under parametric perturbations
• On the stability of almost — Periodic motions
• Integration of almost periodic functions with values in a Banach space

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