期刊
MATHEMATICAL PROBLEMS IN ENGINEERING
卷 2020, 期 -, 页码 -出版社
HINDAWI LTD
DOI: 10.1155/2020/2468134
关键词
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资金
- National Natural Science Foundation for Theoretical Physics of China [61901530, 11747150]
- Hunan Provincial Department of Education General Project Fund [B08004056]
- China Postdoctoral Science Foundation [2019M652791]
- Postdoctoral Creative Talent Support Programme [BX20180386]
Multistablity analysis and formation of spiral wave in the fractional-order nonlinear systems is a recent hot topic. In this paper, dynamics, coexisting attractors, complexity, and synchronization of the fractional-order memristor-based hyperchaotic Lu system are investigated numerically by means of bifurcation diagram, Lyapunov exponents (LEs), chaos diagram, and sample entropy (SampEn) algorithm. The results show that the system has rich dynamics and high complexity. Meanwhile, coexisting attractors in the system are observed and hidden dynamics are illustrated by changing the initial conditions. Finally, the network based on the system is built, and the emergence of spiral waves is investigated and chimera states are observed.
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