Complexified Dynamical Systems

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dc.creatorBender, Carl M.
dc.creatorHolm, Darryl D.
dc.creatorHook, Daniel W.
dc.date2007-05-26
dc.date2007-07-04
dc.date.accessioned2026-07-07T10:35:57Z
dc.date.available2026-07-07T10:35:57Z
dc.descriptionMany dynamical systems, such as the Lotka-Volterra predator-prey model and the Euler equations for the free rotation of a rigid body, are PT symmetric. The standard and well-known real solutions to such dynamical systems constitute an infinitessimal subclass of the full set of complex solutions. This paper examines a subset of the complex solutions that contains the real solutions, namely, those having PT symmetry. The condition of PT symmetry selects out complex solutions that are periodic.
dc.description13 pages, 12 figures, to appear in Fast Track Communications, Journal of Physics A: Mathematical and Theoretical
dc.identifierhttps://arxiv.org/abs/0705.3893
dc.identifierhttp://arxiv.org/abs/0705.3893
dc.identifierJ.Phys.A40:F793-F804,2007
dc.identifierdoi:10.1088/1751-8113/40/32/F02
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179896
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleComplexified Dynamical Systems
dc.typetext

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