An example in Hamiltonian dynamics

DOI10.3934/cam.2024020zbMATH Open1548.3709MaRDI QIDQ6612036

Henryk Żołądek

Publication date: 27 September 2024

Published in: Communications in Analysis and Mechanics (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsHamiltonian systemLyapunov theorem

Mathematics Subject Classification ID

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

Cites Work

• Title not available (Why is that?)
• Critical point theory and Hamiltonian systems
• Bifurcation for strongly indefinite functionals and a Liapunov type theorem for Hamiltonian systems
• A note on periodic solutions of autonomous Hamiltonian systems emanating from degenerate stationary solutions
• Periodic solutions of symmetric Hamiltonian systems
• Normal modes for nonlinear Hamiltonian systems
• Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces
• A note on the number of periodic orbits near a resonant equilibrium point
• Periodic solutions near a resonant equilibrium of a Hamiltonian system
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein

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