Stability and bifurcation phenomena in asymptotically Hamiltonian systems

DOI10.1088/1361-6544/ac6372zbMath1502.37067arXiv2006.12957OpenAlexW3036177404WikidataQ114096625 ScholiaQ114096625MaRDI QIDQ5863867

O. A. Sultanov

Publication date: 3 June 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.12957

zbMATH Keywords

stabilityLyapunov functionasymptoticsbifurcationnonautonomous systems

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)

Related Items (4)

Bifurcations in Asymptotically Autonomous Hamiltonian Systems Subject to Multiplicative Noise ⋮ Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise ⋮ Asymptotic analysis of systems with damped oscillatory perturbations ⋮ Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation

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