On a partially hyperbolic KAM theorem

DOI10.1070/RD1999V004N04ABEH000130zbMath1012.37045MaRDI QIDQ1850453

Stephen Wiggins, Michael Rudnev

Publication date: 8 December 2002

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

structural stabilityperturbationsHamiltonian systemsLagrangian submanifold\(n\)-torus with Kronecker flow

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Hamilton's equations (70H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items (2)

Persistence of hyperbolic tori in Hamiltonian systems ⋮ Erratum to ``Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems

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