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

被引：0
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作者：
Sundarapandian Vaidyanathan
Shaobo He
Esteban Tlelo-Cuautle
Brisbane Ovilla-Martinez
机构：
[1] Vel Tech University,Centre for Control Systems
[2] Xiangtan University,School of Automation and Electronic Information
[3] INAOE,Computer Science Department
[4] Electronics Department,undefined
[5] CINVESTAV,undefined
来源：
The European Physical Journal Special Topics | 2023年 / 232卷
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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 Grünwald-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.
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页码：2395 / 2402
页数：7
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