Journal
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
Volume 16, Issue 1, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219887819500026
Keywords
Forced Lorenz-84 system; almost periodic attractor; random attractor; bifurcation
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Funding
- National Natural Science Foundation of China [11561069, 11772306]
- Guangxi Natural Science Foundation of China [2016GXNSFBA380170, 2017GXNSFAA198234]
- High Level Innovation Team Program from Guangxi Higher Education Institutions of China [[2018] 35]
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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.
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