Attractor and bifurcation of forced Lorenz-84 system

作者：Liu, Yongjian^*; Wei, Zhouchao; Li, Chunbiao; Liu, Aimin; Li, Lijie

来源：International Journal of Geometric Methods in Modern Physics, 2019, 16(1): 1950002.

DOI：10.1142/S0219887819500026

• Forced Lorenz-84 system
• almost periodic attractor
• random attractor
• bifurcation

In this paper, global dynamics of forced Lorenz-84 system are discussed, and some new results are presented. First of all, the periodic attractor is analyzed for the almost periodic Lorenz-84 system with almost periodically forcing, including the existence and the boundedness of those almost periodic solutions, and the bifurcation phenomenon in the driven system. Then, the random attractor set and the bifurcation phenomenon for the driven Lorenz-84 system with stochastic forcing are studied, including the globally exponentially attractive set, positive invariant set, random attractor and stochastic bifurcation behavior. Last but not least, some numerical simulations are also presented for verifying obtained theoretical results.

• 出版日期2019-1
• 单位玉林师范学院; 南京信息工程大学