Control of chaos in Hamiltonian systems

DOI10.1007/S10569-004-6445-3zbMath1140.70011arXivnlin/0311009OpenAlexW3099784559MaRDI QIDQ1766262

Xianqiang Yang

Publication date: 28 February 2005

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0311009

zbMATH Keywords

perturbationintegrabilityseries solution

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items (3)

High-order control for symplectic maps ⋮ Lie symmetries for Hamiltonian systems. Methodological approach ⋮ Hamiltonian control of magnetic field lines: computer assisted results proving the existence of KAM barriers

Cites Work

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• A criterion of integrability for perturbed nonresonant harmonic oscillators. Wick Ordering of the perturbations in classical mechanics and invariance of the frequency spectrum
• Renormalization-group analysis for the transition to chaos in Hamiltonian systems
• Controlling chaos in area-preserving maps
• Perturbation theory and control in classical or quantum mechanics by an inversion formula
• Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas
• METHODS FOR THE ANALYSIS OF THE LINDSTEDT SERIES FOR KAM TORI AND RENORMALIZABILITY IN CLASSICAL MECHANICS: A review with Some Applications

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