Complexified Dynamical Systems
High Energy Physics - Theory
2008-11-26 v3 Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.0705.3893,
title = {Complexified Dynamical Systems},
author = {Carl M. Bender and Darryl D. Holm and Daniel W. Hook},
journal= {arXiv preprint arXiv:0705.3893},
year = {2008}
}