Kolmogorov algorithm for isochronous Hamiltonian systems

DOI10.3934/mine.2023035arXiv2206.09711OpenAlexW4283315591WikidataQ114022463 ScholiaQ114022463MaRDI QIDQ6195576

Rita Mastroianni, Christos Efthymiopoulos

Publication date: 14 March 2024

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.09711

zbMATH Keywords

Hamiltonian perturbation theoryLindstedt seriesKam theory

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Mechanics of particles and systems (70-XX)

Related Items (1)

Kolmogorov variation: Kam with knobs \textit{(à la Kolmogorov)}

Cites Work

• KAM theory in configuration space and cancellations in the Lindstedt series
• Twistless KAM tori
• Dynamics in the center manifold of the collinear points of the restricted three-body problem
• Foundations of physics in Milan, Padua and Paris. Newtonian trajectories from celestial mechanics to atomic physics
• Low-dimensional \(q\)-tori in FPU lattices: dynamics and localization properties
• TWISTLESS KAM TORI, QUASI FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS: A REVIEW
• LINDSTEDT SERIES FOR PERTURBATIONS OF ISOCHRONOUS SYSTEMS: A REVIEW OF THE GENERAL THEORY
• Small denominators and exponential stability: From Poincaré to the present time
• Nonconvergence of formal integrals: II. Improved estimates for the optimal order of truncation
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