Hamiltonian control used to improve the beam stability in particle accelerator models

DOI10.1016/j.cnsns.2011.09.037zbMath1337.70034OpenAlexW1976434499MaRDI QIDQ430480

J. Herrera, H. S. Yoon

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.09.037

zbMATH Keywords

controlchaosHamiltonian systemaccelerator mappingsdynamical aperture

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05)

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Cites Work

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• Diffusion rates in a 4-dimensional mapping model of accelerator dynamics
• Controlling chaos in area-preserving maps
• Perturbation theory and control in classical or quantum mechanics by an inversion formula
• Structure and Breakdown of Invariant Tori in a 4-D Mapping Model of Accelerator Dynamics
• PERIODIC ORBITS AND INVARIANT SURFACES OF 4D NONLINEAR MAPPINGS
• Alignment indices: a new, simple method for determining the ordered or chaotic nature of orbits