https://doi.org/10.1140/epjs/s11734-023-00997-0
Regular Article
Multi-stability analysis and energy control for 4D hyperchaotic system with hidden attractors
1
School of Mathematics and Information Science, North Minzu University, 750021, Yinchuan, China
2
Ningxia Key Laboratory of Intelligent Information and Big Data Processing, 750021, Yinchuan, China
Received:
28
February
2023
Accepted:
9
September
2023
Published online:
23
October
2023
Multi-stability and control of hyperchaotic system are researched in this paper. Firstly, a new 4D hyperchaotic system containing hidden attractors is modeled. Secondly, the coexistence of different attractors is confirmed and transient hyperchaotic phenomena is found as the parameters are changed. Then, the Hamiltonian energy function of the system is calculated and the energy feedback controller is designed to control the system. Finally, numerical simulations are performed to verify the validity of the results.
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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.
