A refined formula for the separatrix splitting for the standard map

DOI10.1016/0167-2789(94)90183-XzbMath0812.70017OpenAlexW2033307342MaRDI QIDQ1339249

V. F. Lazutkin, N. V. Svanidze, Vassili Gelfreich

Publication date: 22 May 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90183-x

zbMATH Keywords

small parameterasymptotic formulaasymptotic serieshyperbolic fixed point

Mathematics Subject Classification ID

Topological dynamics (37B99) Nonlinear dynamics in mechanics (70K99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

• Hamiltonian maps in the complex plane
• Chaotic boundary of a hamiltonial map
• Splitting of separatrices for the Chirikov standard map
• On the accuracy of conservation of the adiabatic invariant
• Beyond all orders: Singular perturbations in a mapping
• Splitting of separatrices for standard and semistandard mappings
• Regular and stochastic motion
• Exponentially small splittings in Hamiltonian systems
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