ARNOLD-TYPE THEOREM ABOUT LOWER-DIMENSIONAL INVARIANT TORI IN GENERALIZED HAMILTONIAN SYSTEMS
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Publisher
Wilmington Scientific Publisher, LLC
Subject
General Mathematics
Reference36 articles.
1. V. I. Arnold, Proof of a theorem of A. N. Kolmogorov on the preservation of conditionally periodic motions under a small perturbation of the Hamiltonian, Uspehi Mat. Nauk, 1963, 18(5), 13-40.
2. V. I. Arnold, Small denominators and problems of stability of motion in classical and celestial mechanics, Uspehi Mat. Nauk, 1963, 18(6), 91-192.
3. J. Bourgain, Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE, Internat. Math. Res. Notices, 1994, 11, 475-497.
4. L. Chierchia, Periodic solutions of the planetary N-body problem, XVⅡth International Congress on Mathematical Physics, World Sci. Publ., Hackensack, NJ, 2014, 269-280.
5. F. Cong and Y. Li, Existence of higher dimensional invariant tori for Hamiltonian systems, J. Math. Anal. Appl., 1998, 222(1), 255-267.
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