Periodic perturbations of a nonconservative center

DOI10.1134/S0012266118030023zbMath1394.37095OpenAlexW2802846530MaRDI QIDQ721881

A. G. Savel'eva, Yuri N. Bibikov

Publication date: 20 July 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118030023

zbMATH Keywords

stabilityperiodic perturbationinvariant two-dimensional torus

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (2)

Bifurcation of the equilibrium of an oscillator with a velocity-dependent restoring force under periodic perturbations ⋮ On the stability of the zero solution of a periodic reversible second-order differential equation

Cites Work

• Periodic perturbations of a nonlinear oscillator
• Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of third order
• Integral manifolds of perturbed differential systems
• Unnamed Item

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