https://doi.org/10.1140/epjs/s11734-023-00936-z
Regular Article
A new fractional-order 3-D jerk chaotic system with no equilibrium point and its bifurcation analysis
1
Centre for Control Systems, Vel Tech University, Avadi, 600 062, Chennai, Tamil Nadu, India
2
School of Automation and Electronic Information, Xiangtan University, 411105, Xiangtan, China
3
INAOE, Electronics Department, 72840, Puebla, Mexico
4
Computer Science Department, CINVESTAV, Av. IPN 2508, 07360, Mexico City, Mexico
Received:
31
March
2023
Accepted:
2
July
2023
Published online:
21
July
2023
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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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
