Near-invariant tori on exponentially long time for Poisson systems

DOI10.1016/J.JMAA.2006.12.046zbMath1115.37054OpenAlexW1978450742MaRDI QIDQ2371829

Fuzhong Cong, Jialin Hong, Yu-liang Han

Publication date: 9 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.12.046

zbMATH Keywords

rapidly Newton iteration

Mathematics Subject Classification ID

Hamilton's equations (70H05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (3)

A Kolmogorov theorem for nearly integrable Poisson systems with asymptotically decaying time-dependent perturbation ⋮ Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems ⋮ Quasi-effective stability for a nearly integrable volume-preserving mapping

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• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

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