Arnold's theorem on properly degenerate systems with the Rüssmann nondegeneracy

zbMath1217.37052MaRDI QIDQ551810

Yuecai Han, Yong Li

Publication date: 21 July 2011

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Arnold's theoremRüssmann non-degenerate condition

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (5)

Invariant tori in Hamiltonian systems with high order proper degeneracy ⋮ KAM in generalized Hamiltonian systems with multi-scales ⋮ Multiscale KAM theorem for Hamiltonian systems ⋮ Existence of 3-dimensional tori for 1D complex Ginzburg-Landau equation via a degenerate KAM theorem ⋮ Persistence of Lagrange invariant tori at tangent degeneracy

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