多稳态
吸引子
混乱的
数学
分叉
统计物理学
区间(图论)
实现(概率)
对称(几何)
循环矩阵
动力系统理论
动力系统(定义)
拓扑(电路)
控制理论(社会学)
非线性系统
计算机科学
数学分析
物理
离散数学
量子力学
人工智能
控制(管理)
组合数学
统计
几何学
作者
Karthikeyan Rajagopal,Akif Akgul,Viet-Thanh Pham,Fawaz E. Alsaadi,Fahimeh Nazarimehr,Ahmed Alsaedi,Sajad Jafari
标识
DOI:10.1142/s0218127419501748
摘要
In this paper, a new four-dimensional chaotic flow is proposed. The system has a cyclic symmetry in its structure and shows a complicated, chaotic attractor. The dynamical properties of the system are investigated. The system shows multistability in an interval of its parameter. Fractional order model of the proposed system is discussed in various fractional orders. Bifurcation analysis of the fractional order system shows that it has a kind of multistability like the integer order system, which is a very rare phenomenon. Circuit realization of the proposed system is also carried out to show that it is usable for engineering applications.
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