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
Studies on Coexisting Attractors in FractionalNonlinear Systems
摘要/Abstract
摘要：
分数阶混沌系统具有非常有趣和复杂的动力学行为. 首先提出了一个新的分数阶非线性系统, 并对该 系统的一些基本动力学特性进行了数值模拟和理论分析, 借助平衡点、相图、分岔图进一步研究了分数阶非线性系 统的复杂动力学行为, 通过改变初值条件和系统参数, 研究发现新的分数阶非线性系统产生不同的共存吸引子.
Abstract：
Fractional order system has many interesting and complex dynamical behaviors. A new fractional-order nonlinear system is proposed, and some basic dynamic characteristics of the system are numerically simulated and theoretically anayzed. Furthermore, various attractors can be obtained from this fractional order system. The complex dynamics behaviors are studied by steady point, phase portraits, and bifurcation diagrams numerically. In addition, the coexisting attractors are observed by adjusting initial values and system parameters.
关键词
Key words：
fractional order
;
coexisting attractor
;
bifurcation
;
hybrid synchronization
参考文献 10
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