Chaotic systems in complex phase space
High Energy Physics - Theory
2010-11-02 v1 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
This paper examines numerically the complex classical trajectories of the kicked rotor and the double pendulum. Both of these systems exhibit a transition to chaos, and this feature is studied in complex phase space. Additionally, it is shown that the short-time and long-time behaviors of these two PT-symmetric dynamical models in complex phase space exhibit strong qualitative similarities.
Keywords
Cite
@article{arxiv.0809.1975,
title = {Chaotic systems in complex phase space},
author = {Carl M. Bender and Joshua Feinberg and Daniel W. Hook and David J. Weir},
journal= {arXiv preprint arXiv:0809.1975},
year = {2010}
}
Comments
22 page, 16 figures