scientific article; zbMATH DE number 778933
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Publication:4842021
zbMath0836.34040MaRDI QIDQ4842021
Corrado Falcolini, Luigi Chierchia
Publication date: 22 April 1996
Full work available at URL: http://www.numdam.org/item?id=ASNSP_1994_4_21_4_541_0
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Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Asymptotic properties of solutions to ordinary differential equations (34D05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
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KAM theorem revisited ⋮ Compensations in small divisor problems ⋮ A note on quasi-periodic solutions of some elliptic systems ⋮ Normal form for lower dimensional elliptic tori in Hamiltonian systems ⋮ On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems ⋮ Unnamed Item ⋮ Periodic solutions for the Schrödinger equation with nonlocal smoothing nonlinearities in higher dimension ⋮ On the direct proof of the Poincaré theorem on invariant tori ⋮ Persistence of Diophantine flows for quadratic nearly integrable Hamiltonians under slowly decaying aperiodic time dependence ⋮ THE ISOENERGETIC KAM-TYPE THEOREM AT RESONANT CASE fOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS
Cites Work
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- Iteration of analytic functions
- On the complex analytic structure of the golden invariant curve for the standard map
- TWISTLESS KAM TORI, QUASI FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS: A REVIEW
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
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