Design of Grid Multi-Wing Chaotic Attractors Based on Fractional-Order Differential Systems

In this article, a new method for generating grid multi-wing chaotic attractors from fractional-order linear differential systems is proposed. In order to generate grid multi-wing attractors, we extend the method of constructing heteroclinic loops from classical differential equations to fractional-...

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Bibliographic Details
Published in:Frontiers in physics 2022-06, Vol.10
Main Authors: Lin, Yuan, Zhou, Xifeng, Gong, Junhui, Yu, Fei, Huang, Yuanyuan
Format: Article
Language:English
Subjects:
chaotic attractors
fractional differential system
grid multi-wing
heteroclinic loops
saturated functions switching control
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Summary:In this article, a new method for generating grid multi-wing chaotic attractors from fractional-order linear differential systems is proposed. In order to generate grid multi-wing attractors, we extend the method of constructing heteroclinic loops from classical differential equations to fractional-order differential equations. Firstly, two basic fractional-order linear systems are obtained by linearization at two symmetric equilibrium points of the fractional-order Rucklidge system. Then a heteroclinic loop is constructed and all equilibrium points of the two basic fractional-order linear systems are connected by saturation function switching control. Secondly, the theoretical methods of switching control and construction of heteromorphic rings of fractal-order two-wing and multi-wing chaotic attractors are studied. Finally, the feasibility of the proposed method is verified by numerical simulation.
ISSN:2296-424X
2296-424X
DOI:10.3389/fphy.2022.927991