On periodic solutions near equilibrium points of conservative systems

DOI10.1007/BF00253043zbMath0244.34029OpenAlexW2034757821MaRDI QIDQ2554828

J. J. Duistermaat

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1007/bf00253043

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (4)

Geometric numerical integration applied to the elastic pendulum at higher-order resonance. ⋮ Properties of Center Manifolds ⋮ Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations ⋮ Periodic solutions of symmetric Kepler perturbations and applications

Cites Work

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• On the role of first integrals in the perturbation of periodic solutions
• Hamiltonian systems: Generic properties of closed orbits and local perturbations
• Periodic solutions of periodic systems of ordinary differential equations containin a parameter
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• Shorter Notes: On the Existence Theorem for Differential Equations

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