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

页码：2395 / 2402

页数：8