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Stability of the phase motion in race-track microtrons

Autor
Koubychine, Y.A.; Barreto, O.; Ramirez, R.; Martinez-seara, Tere
Tipus d'activitat
Article en revista
Revista
Physica. D, Nonlinear phenomena
Data de publicació
2017-06-15
Volum
349
Pàgina inicial
12
Pàgina final
26
DOI
https://doi.org/10.1016/j.physd.2017.03.001 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/105051 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0167278916304560 Obrir en finestra nova
Resum
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. ...
Citació
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.
Paraules clau
Exponentially small phenomena, Hamiltonian approximation, Invariant curve, Microtron, Stability domain
Grup de recerca
NEMEN - Nanoenginyeria de materials aplicats a l'energia
SD - Sistemes Dinàmics de la UPC

Participants