Fine tuning of resonances and periodic solutions of Hamiltonian systems near equilibrium

DOI10.1007/BF01260386zbMath0673.34050OpenAlexW2018017849MaRDI QIDQ1120718

G. F. Del'Antonio

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01260386

zbMATH Keywords

critical pointsphase spaceHamiltonian systemHamiltonian vector fields

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05)

Related Items (2)

A property of exponential stability in nonlinear wave equations near the fundamental linear mode ⋮ Some stability properties of breathers in Hamiltonian networks of oscillators

Cites Work

• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Normal modes for nonlinear Hamiltonian systems
• Periodic solutions near a resonant equilibrium of a Hamiltonian system

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