Chaotic systems in complex phase space

Sep, 2008
22 pages
Published in:
  • Pramana 73 (2009) 453-470
Contribution to:
e-Print:

Citations per year

200920132017202120232310
Abstract: (arXiv)
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.
Note:
  • 22 page, 16 figures
  • 11.30.Er
  • 05.45.-a
  • 05.45.Pq
  • 02.30.Hq
  • PT-symmetry
  • approach to chaos
  • kicked rotor
  • standard map
  • double pendulum
  • trajectory: classical