A unifying theory in determining periodic families for Hamiltonian systems at resonance-Reference-Cited by-同舟云学术

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A unifying theory in determining periodic families for Hamiltonian systems at resonance

Published:1973-11 Issue:3 Volume:14 Page:597-609
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Schmidt Dieter S.,Sweet Daniel

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference9 articles.

1. Alternative problems for non-linear functional equations;Bancroft;J. Differential Equations,1968

2. Functional analysis and Galerkin's method;Cesari;Michigan J. Math.,1964

3. Periodic solutions of nonlinear systems of differential equations;Hale;Riv. Mat. Univ. Parma,1954

4. J. Henrard, Lyapunov's center theorem for resonant equilibrium, to appear, J. Differential Equations.

5. Periodic orbits near L4 for mass ratios near the critical mass ratio of Routh;Meyer;Celestial Mechanics,1971

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1. On the Motions of One Near-Autonomous Hamiltonian System at a 1:1:1 Resonance;Regular and Chaotic Dynamics;2019-05

2. Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations;SIAM Journal on Applied Dynamical Systems;2019-01

3. A Study of the Motions of an Autonomous Hamiltonian System at a 1:1 Resonance;Regular and Chaotic Dynamics;2017-12

4. Non-linear oscillations of a 1:1 resonance Hamiltonian system;Journal of Applied Mathematics and Mechanics;2011-01

5. The 1:±2 resonance;Regular and Chaotic Dynamics;2007-12

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