Global Symplectic Polynomial Approximation of Area-Preserving Maps

DOI10.1080/10236199708808093zbMath0891.39009OpenAlexW2043026566WikidataQ126249112 ScholiaQ126249112MaRDI QIDQ4352524

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Publication date: 4 September 1997

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199708808093

zbMATH Keywords

stabilityPoincaré mapsNewton equationsarea-preserving mapsplanetary motionschaotic regionsglobal symplectic polynomial approximation

Mathematics Subject Classification ID

Additive difference equations (39A10) Celestial mechanics (70F15) Stability theory for smooth dynamical systems (37C75)

Cites Work

• Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping
• Regular and stochastic motion
• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• Monte Carlo modelling of cometary dynamics