Design of Grid Multi-Wing Chaotic Attractors Based on Fractional-Order Differential Systems
| Autor: | Yuan Lin, Xifeng Zhou, Junhui Gong, Fei Yu, Yuanyuan Huang |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Frontiers in Physics, Vol 10 (2022) |
| Druh dokumentu: | article |
| ISSN: | 2296-424X 64689875 |
| DOI: | 10.3389/fphy.2022.927991 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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