Chaotic systems in complex phase space

Carl M. Bender, Joshua Feinberg, Daniel W. Hook, David J. Weir

Research output: Contribution to journalArticlepeer-review


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 behaviours of these two PT -symmetric dynamical models in complex phase space exhibit strong qualitative similarities.

Original languageEnglish
Pages (from-to)453-470
Number of pages18
JournalPramana - Journal of Physics
Issue number3
StatePublished - Sep 2009

Bibliographical note

Funding Information:
We thank S Fishman and F Leyvraz for discussions and I Guarnery for bringing ref. [27] to our attention. CMB is supported by the U.S. Department of Energy. JF thanks the KITP at UC Santa Barbara for its hospitality while this paper was completed. His research at the KITP was supported in part by the National Science Foundation under Grant No. PHY05-51164. DWH is supported by Symplectic Ltd. DJW thanks the Imperial College High Performance Computing Service, URL: http: // / ict/services / teachingandresearchservices/highperfor-mancecomputing.


  • Approach to chaos
  • Double pendulum
  • Kicked rotor
  • PT symmetry
  • Standard map

ASJC Scopus subject areas

  • General Physics and Astronomy


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