Chaotic systems in complex phase space

Pramana

Carl M Bender1¹  David J Weir3²  Daniel W Hook3²  Joshua Feinberg2³ 

[1] Department of Physics, Washington University, St. Louis, MO 63130, USA$$;Blackett Laboratory, Imperial College London, London SW7 2AZ, UK$$;Department of Physics, University of Haifa at Oranim, Tivon 36006, Israel and Department of Physics, Technion, Haifa 32000, Israel$$

关键词: $mathcal{PT}$ symmetry;    approach to chaos;    kicked rotor;    standard map;    double pendulum.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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 $mathcal{PT}$ -symmetric dynamical models in complex phase space exhibit strong qualitative similarities.

【 授权许可】

Unknown