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Complexified dynamical systems.
File(s)
Author(s)
Holm, DD
Hook, DW
Bender, CM
Type
Journal Article
Abstract
Many 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
Version
Accepted version
Date Issued
2007-08-10
Citation
Journal of Mathematical Physics A - Mathematical and Theoretical, 2007, 40 (32), pp.F793-F804
URI
URL
DOI
Start Page
F793
End Page
F804
Journal / Book Title
Journal of Mathematical Physics A - Mathematical and Theoretical
Volume
40
Issue
32
Replaces
10044/1/857
10044/1/784
Copyright Statement
© 2007 IOP Publishing Ltd
License URL
Identifier
http://uk.arxiv.org/abs/0705.3893
Source Volume Number
40