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