期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
非线性系统的隐藏吸引子及组合同步
- (1.天水师范学院 数学与统计学院,甘肃 天水 741001;2.陕西科技大学 文理学院,陕西 西安 710021)
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DOI：10.13763/j.cnki.jhebnu.nse.202202007
Hidden Attractors and Combine Synchronization of Nonlinear System
摘要/Abstract
研究了一个四维分数阶新系统的隐藏吸引子.在特定条件下,此系统有一条平衡点线或无平衡点.同时讨论了系统平衡点的稳定性,证明了不同类型的隐藏吸引子.进一步通过调整系统参数和系统初始值,利用分岔图、相图得到了新系统的共存隐藏吸引子,分析了系统的复杂动力学行为,并设计了同步控制器,实现了此系统的组合同步,数值仿真结果验证了同步控制方案的有效性.
This paper presents a novel 4D fractional order chaotic system with interesting dynamics characteristics. Especially, the system has a line of equilibrium points or no equilibrium points under certain conditions. Compared with other fractional order systems, the new system has richer dynamic properties. Furthermore, various hidden attractors can be obtained from this fractional order system. In addition, the coexisting hidden attractors are observed by adjusting initial values and system parameters. The complex hidden dynamics behaviors are demonstrated by phase portraits, bifurcation diagrams numerically. Besides, the combination synchronization of the new fractional order system is realized by numerical simulations.
关键词
参考文献 7
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