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
分数阶离散Lorenz系统的动力学行为
- (1.天水师范学院 数学与统计学院,甘肃 天水 741001;2.西安邮电大学 理学院,陕西 西安 710121)
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DOI：10.13763/j.cnki.jhebnu.nse.202202005
Dynamics of a Fractional-order Discrete Lorenz System
摘要/Abstract
研究了一个分数阶离散 Lorenz映射系统的动力学行为.首先研究了系统随不同参数变化的动力学行为,发现系统发生了周期倍分岔和 Hopf分岔.然后为了进一步研究系统的动力学行为,基于数值模拟,得到了系统随参数和分数阶的阶数同时变化的三维分岔图.通过三维分岔图发现,该映射系统随着阶数的逐渐减小,动力学行为变得越来越简单,最后完全进入周期窗口;随着阶数逐渐增大,动力学行为变得越来越复杂.
The dynamics of a fractional-order discrete Lorenz system is studied. Firstly, dynamics of the system with different values of the system parameter was analyzed, and a series of period-doublings and Hopf bifurcations can be observed. Secondly, bifurcations for the system with the variation of a system parameter and a derivative order were investigated and presented in a three-dimensional space. The dynamics behavior of the system changes from chaos to regular with an decrease of derivative orders, and changes from regular to chaos with an increase of derivative orders.
关键词
参考文献 9
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