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Stability of the phase motion in race-track microtrons

Author
Koubychine, Y.A.; Barreto, O.; Ramirez, R.; Martinez-seara, M.
Type of activity
Journal article
Journal
Physica. D, Nonlinear phenomena
Date of publication
2017-06-15
Volume
349
First page
12
Last page
26
DOI
https://doi.org/10.1016/j.physd.2017.03.001 Open in new window
Repository
http://hdl.handle.net/2117/105051 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0167278916304560 Open in new window
Abstract
We model the phase oscillations of electrons in race-track microtrons by means of an area preserving map with a fixed point at the origin, which represents the synchronous trajectory of a reference particle in the beam. We study the nonlinear stability of the origin in terms of the synchronous phase —the phase of the synchronous particle at the injection. We estimate the size and shape of the stability domain around the origin, whose main connected component is enclosed by an invariant curve. ...
Citation
Kubyshin, Y., Barreto, O., Ramirez, R., Martinez-seara, T. Stability of the phase motion in race-track microtrons. "Physica. D, Nonlinear phenomena", 15 Juny 2017, vol. 349, p. 12-26.
Keywords
Exponentially small phenomena, Hamiltonian approximation, Invariant curve, Microtron, Stability domain
Group of research
NEMEN - Nanoengineering of Materials Applied to Energy
SD - UPC Dynamical Systems

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