中国物理B ›› 2002, Vol. 11 ›› Issue (1): 17-20.doi: 10.1088/1009-1963/11/1/305

• GENERAL • 上一篇    下一篇

Scaling of torus-doubling terminal points in a quasi-periodically forced map

符五久, 何岱海, 史朋亮, 康炜, 胡岗   

  1. Department of Physics, Beijing Normal University, Beijing 100875, China
  • 收稿日期:2001-06-03 修回日期:2001-07-24 出版日期:2005-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19835020), the National Basic Research Foundation for "Nonlinear Science" of China, and the Doctorate Foundation of the Chinese Ministry of Education.

Scaling of torus-doubling terminal points in a quasi-periodically forced map

Fu Wu-Jiu (符五久), He Dai-Hai (何岱海), Shi Peng-Liang (史朋亮), Kang Wei (康炜), Hu Gang (胡岗)   

  1. Department of Physics, Beijing Normal University, Beijing 100875, China
  • Received:2001-06-03 Revised:2001-07-24 Online:2005-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19835020), the National Basic Research Foundation for "Nonlinear Science" of China, and the Doctorate Foundation of the Chinese Ministry of Education.

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摘要： The torus-doubling bifurcations of a quasi-periodically forced two-dimensional map are investigated numerically. The scaling law on the terminal points of the torus-doubling bifurcation sequences is obtained by a simple method, based on hyper-stable period point and phase sensitivity exponent analyses.

Abstract: The torus-doubling bifurcations of a quasi-periodically forced two-dimensional map are investigated numerically. The scaling law on the terminal points of the torus-doubling bifurcation sequences is obtained by a simple method, based on hyper-stable period point and phase sensitivity exponent analyses.

Key words: strange non-chaotic attractor, phase sensitive exponent

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a