Topological classification of periodic orbits in Lorenz system*

Project supported by the National Natural Science Foundation of China (Grant Nos. 11647085, 11647086, and 11747106), the Applied Basic Research Foundation of Shanxi Province, China (Grant No. 201701D121011), and the Natural Science Research Fund of North University of China (Grant No. XJJ2016036).

Dong Chengwei
       

(color online) Four periodic orbits of the Lorenz system: (a) 011 orbit, (b) 0011 orbit, (c) 00001 orbit, and (d) 00101 orbit.