Complexified Dynamical Systems

Details Complexified Dynamical Systems Complexified Dynamical Systems

2007-05-26

arxiv.org/abs/0705.3893v3

J.Phys.A40:F793-F804,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 12 figures, to appear in Fast Track Communications, Journal of Physics A: Mathematical and Theoretical

Scientific paper

10.1088/1751-8113/40/32/F02

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.

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