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A Method for Finding 4d Symplectic Maps with Reduced Chaos
We have previously proposed a method for finding integrable, four-dimensional symplectic maps. The method relies on solving for parameter values at which the linear stability factors of the fixed points of the map have the values corresponding to integrability. We suggest that this method be applied to accelerator lattices in order to increase dynamic aperture. We have now implemented a numeric...
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Contact us / Contactez nous: [email protected]. http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/jsp/nparc_cp.jsp?lang=fr L’accès à ce site Web et l’utilisation de son contenu sont assujettis aux conditions présentées dans le site Web page / page Web http://dx.doi.org/10.1002/cpe.1490 http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/ctrl?action=rtdoc&an=15084651&lang=en http://nparc.cisti-icis...
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This note serves as a commentary of the paper of Haller [Chaos 10, 99 (2000)] on techniques for detecting invariant manifolds. Here we show that the criterion of Haller can be improved in two ways. First, by using the strain basis reference frame, a more efficient version of theorem 1 of Haller (2000) allows to better detect the manifolds. Second, we emphasize the need to nondimensionalize the ...
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ژورنال
عنوان ژورنال: International Journal of Automation and Computing
سال: 2014
ISSN: 1476-8186,1751-8520
DOI: 10.1007/s11633-014-0785-6