Exponentially small splittings in Hamiltonian systems

DOI10.1063/1.165823zbMath0899.58016OpenAlexW2076657383WikidataQ52444279 ScholiaQ52444279MaRDI QIDQ4390266

V. F. Lazutkin, Vassili Gelfreich, M. B. Tabanov

Publication date: 9 November 1998

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165823

zbMATH Keywords

asymptotic formulasarea preserving analytical mapssplittings of separatrices

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Cites Work

• Splitting of separatrices for standard and semistandard mappings
• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

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