期刊
PRAMANA-JOURNAL OF PHYSICS
卷 88, 期 6, 页码 -出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-017-1391-2
关键词
Chaotic attractor; Faraday disc dynamo; Lyapunov coefficient; degenerate Hopf bifurcations
资金
- National Natural Science Foundation of China [11561069, 11361068]
- Natural Science Foundation of Guangxi Province of China [2016GXNSFBA380170, 2015GXNSFAA139002]
- Open Foundation for Guangxi Colleges and Universities Key Lab of Complex System Optimization and Big Data Processing [2016CSOBDP0003]
In order to further understand a self-exciting Faraday disc dynamo (Hide et al, in Proc. R. Soc. A 452, 1369 1996), showing chaotic attractors with very complicated topological structures, we present codimension one and two (degenerate) Hopf bifurcations and prove the existence of periodic solutions. In addition, numerical simulations are given for confirming the theoretical results.
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