Transition to stochasticity in the relativistic and the nonrelativistic versions of a dynamical system

Polymilis, C; Hizanidis, K

dc.contributor.author	Polymilis, C	en
dc.contributor.author	Hizanidis, K	en
dc.date.accessioned	2014-03-01T01:09:36Z
dc.date.available	2014-03-01T01:09:36Z
dc.date.issued	1993	en
dc.identifier.issn	1063-651X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11101
dc.subject	Dynamic System	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	PROPAGATING ELECTROMAGNETIC-WAVE	en
dc.subject.other	ACCELERATION	en
dc.title	Transition to stochasticity in the relativistic and the nonrelativistic versions of a dynamical system	en
heal.type	journalArticle	en
heal.identifier.primary	10.1103/PhysRevE.47.4381	en
heal.identifier.secondary	http://dx.doi.org/10.1103/PhysRevE.47.4381	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	Issues related to the transition to stochastic relativistic and nonrelativistic motion of electrons in an electromagnetic wave propagating obliquely to a uniform magnetic field, such as stability, structure of the diagrams of characteristics, and the morphology of the bifurcation sequence in the latter, are thoroughly investigated. The spatiotemporal distributions of the electron energies, relativistically and nonrelativistically, are also examined. Major, qualitative, as well as quantitative differences in all aspects related to the transition to stochasticity and energy distribution are found. These dramatic differences lead to the conclusion that, at least as far as stochasticity is concerned, the nonrelativistic approximation is invalid even in the weakest possible relativistic case. However, from the theoretical point of view, the nonrelativistic model investigated here is in itself a very rich dynamical system with unusual behavior. © 1993 The American Physical Society.	en
heal.publisher	AMERICAN PHYSICAL SOC	en
heal.journalName	Physical Review E	en
dc.identifier.doi	10.1103/PhysRevE.47.4381	en
dc.identifier.isi	ISI:A1993LJ15200071	en
dc.identifier.volume	47	en
dc.identifier.issue	6	en
dc.identifier.spage	4381	en
dc.identifier.epage	4398	en