Phase space geometry and chaotic attractors in dissipative Nambu mechanics

Roupas, Z

dc.contributor.author	Roupas, Z	en
dc.date.accessioned	2014-03-01T02:11:57Z
dc.date.available	2014-03-01T02:11:57Z
dc.date.issued	2012	en
dc.identifier.issn	17518113	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29979
dc.title	Phase space geometry and chaotic attractors in dissipative Nambu mechanics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/1751-8113/45/19/195101	en
heal.identifier.secondary	http://dx.doi.org/10.1088/1751-8113/45/19/195101	en
heal.identifier.secondary	195101	en
heal.publicationDate	2012	en
heal.abstract	Following the Nambu mechanics framework, we demonstrate that the nondissipative part of the Lorenz system can be generated by the intersection of two quadratic surfaces that form a doublet under the group SL(2,ℝ). All manifolds are classified into four distinct classes: parabolic, elliptical, cylindrical and hyperbolic. The Lorenz attractor is localized by a specific infinite set of oneparameter family of these surfaces. The different classes correspond to different physical systems. The Lorenz system is identified as a charged rigid body in a uniform magnetic field with external torque and this system is generalized to give new strange attractors. © 2012 IOP Publishing Ltd.	en
heal.journalName	Journal of Physics A: Mathematical and Theoretical	en
dc.identifier.doi	10.1088/1751-8113/45/19/195101	en
dc.identifier.volume	45	en
dc.identifier.issue	19	en