A new fractional-order 3-D jerk chaotic system with no equilibrium point and its bifurcation analysis

被引：4
|
作者：
Vaidyanathan, Sundarapandian [1 ]
He, Shaobo [2 ]
Tlelo-Cuautle, Esteban [3 ]
Ovilla-Martinez, Brisbane [4 ]
机构：
[1] Vel Tech Univ, Ctr Control Syst, Chennai 600062, Tamil Nadu, India
[2] Xiangtan Univ, Sch Automat & Elect Informat, Xiangtan 411105, Peoples R China
[3] INAOE, Elect Dept, Puebla 72840, Mexico
[4] CINVESTAV, Comp Sci Dept, Ave IPN 2508, Mexico City 07360, Mexico
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2023年 / 232卷 / 14-15期
关键词：
FPGA IMPLEMENTATION;
D O I：
10.1140/epjs/s11734-023-00936-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Fractional-order chaotic systems have many applications in science and engineering. This work describes a new fractional-order 3-D jerk chaotic system with no equilibrium point. The proposed fractional order chaotic system exhibits a hidden attractor since it does not have any equilibrium point. We carry out a detailed bifurcation analysis for the fractional-order jerk system with respect to its parameters. In this research work, we use the Grunwald-Letnikov method (GL) to solve the fractional order jerk system with the short memory principle, and provide a detailed bifurcation analysis and the Lyapunov spectrum.
引用
收藏
页码：2395 / 2402
页数：8
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