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.
Received: 03 June 2001
Revised: 24 July 2001
Accepted manuscript online:
PACS:
05.45.-a
(Nonlinear dynamics and chaos)
Fund: 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.
Cite this article:
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) Scaling of torus-doubling terminal points in a quasi-periodically forced map 2002 Chinese Physics 11 17
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
