倍周期

Charles Tresser^a,  Pierre Coullet^b and Edson de Faria^c

^aDr. Charles Tresser, IBM Thomas J. Watson Research Center, New York

^bDr. Pierre Coullet, Institut Non Lineaire De Nice Sophia-Antipolis, France

^cDr. Edson de Faria, Universidade de Sao Paulo (IME-USP), Sao Paulo, SP, Brazil

Sponsored by: Prof. James Meiss, Applied Mathematics University of Colorado, Boulder, CO, USA

Reviewed by: Prof. Alessandra Celletti, Dipartimento di Matematica, Universita di Roma (Tor Vergata), Italy

Reviewed by: Anonymous (via Prof. James Meiss, Applied Mathematics University of Colorado, Boulder, CO, USA)

Accepted on: 2014-06-08 17:19:43 GMT

(translated by yuan quan)

倍周期的双循环是指一个周期轨道的产生或毁灭，其周期是原来轨道的两倍。这些分岔在一维非可逆映射的理论中尤其突出，例如，动态系统是半群Z⁺在单位区间上的作用，其中无限级倍周期分岔是典型的，并表现出某些普遍性质。

翻译的稿件 Period doubling

翻译后的稿件 倍周期

Charles Tresser et al. (2014), Scholarpedia, 9(6):3958.