Dynamics around simple resonant tori in nearly integrable Hamiltonian systems

DOI10.1006/jdeq.1999.3692zbMath0987.37054OpenAlexW1988106384MaRDI QIDQ1975472

Laurent Niederman

Publication date: 24 October 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1ea9f4cace03955259a01ca3bb0ff573903f5f76

zbMATH Keywords

stabilityperturbationsHamiltonian systemsnormal formshyperbolic structuresquasi-periodic flows

Mathematics Subject Classification ID

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

Exponentially Small Lower Bounds for the Splitting of Separatrices to Whiskered Tori with Frequencies of Constant Type, Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio, Topologically crossing heteroclinic connections to invariant tori., Global properties of generic real-analytic nearly-integrable Hamiltonian systems, Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies, Hyperbolicity versus partial-hyperbolicity and the transversality-torsion phenomenon, Exponentially Small Splitting of Separatrices and Transversality Associated to Whiskered Tori with Quadratic Frequency Ratio, Symbolic dynamics and Arnold diffusion

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