Stability of the phase motion in race-track microtrons
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10.1016/j.physd.2017.03.001
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/105051
Tipus de documentArticle
Data publicació2017-06-15
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
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. We describe the evolution of the stability domain as the synchronous phase varies. We also clarify the role of the stable and unstable invariant curves of some hyperbolic (fixed or periodic) points.
CitacióKubyshin, 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.
ISSN0167-2789
Versió de l'editorhttp://www.sciencedirect.com/science/article/pii/S0167278916304560
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koubishinLRS2017PhysicaDtron.pdf | 2,369Mb | Visualitza/Obre |