A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems

DOI10.1007/s10440-015-0027-0zbMath1338.37075OpenAlexW2127912289MaRDI QIDQ288369

Junxiang Xu, Xiaocai Wang, Dongfeng Zhang

Publication date: 25 May 2016

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-015-0027-0

zbMATH Keywords

reversible systemsinvariant toriKAM iterationnon-degeneracy condition

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (4)

Whitney smooth families of invariant tori within the reversible context 2 of KAM theory ⋮ Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2 ⋮ On the persistence of lower-dimensional tori in reversible systems with hyperbolic-type degenerate equilibrium point under small perturbations ⋮ On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations

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