Explicit near-symplectic mappings of Hamiltonian systems with Lie-generating functions

Kominis, Y; Hizanidis, K; Constantinescu, D; Dumbrajs, O

dc.contributor.author	Kominis, Y	en
dc.contributor.author	Hizanidis, K	en
dc.contributor.author	Constantinescu, D	en
dc.contributor.author	Dumbrajs, O	en
dc.date.accessioned	2014-03-01T01:28:23Z
dc.date.available	2014-03-01T01:28:23Z
dc.date.issued	2008	en
dc.identifier.issn	1751-8113	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18829
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	MAGNETIC-FIELD	en
dc.subject.other	MAPS	en
dc.subject.other	LINES	en
dc.subject.other	RECONNECTION	en
dc.subject.other	COMPUTATION	en
dc.subject.other	INSTABILITY	en
dc.subject.other	INTEGRATORS	en
dc.subject.other	PARTICLE	en
dc.subject.other	OPTICS	en
dc.title	Explicit near-symplectic mappings of Hamiltonian systems with Lie-generating functions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/1751-8113/41/11/115202	en
heal.identifier.secondary	http://dx.doi.org/10.1088/1751-8113/41/11/115202	en
heal.identifier.secondary	115202	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The construction of explicit near-symplectic mappings for generic Hamiltonian systems with the utilization of Lie transforms is presented. The method is mathematically rigorous and systematically extended to high order with respect to a perturbation parameter. The explicit mappings are compared to their implicit counterparts, which use mixed-variable generating functions, in terms of conservation of invariant quantities, calculation speed and accurate construction of Poincaré surfaces of sections. The comparative study considers a wide range of parameters and initial conditions for which different time scales are involved due to large differences between internal and external frequencies of the system. © 2008 IOP Publishing Ltd.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Journal of Physics A: Mathematical and Theoretical	en
dc.identifier.doi	10.1088/1751-8113/41/11/115202	en
dc.identifier.isi	ISI:000254152700006	en
dc.identifier.volume	41	en
dc.identifier.issue	11	en