https://doi.org/10.1140/epjp/s13360-024-05610-4
Regular Article
Adaptive multi-switching synchronization control of six-dimensional conservative systems based on memristor
College of Physics and Electronic Engineering, Northwest Normal University, 967 Anning East Road, 730070, Lanzhou, Gansu, China
Received:
7
August
2024
Accepted:
30
August
2024
Published online:
21
September
2024
A high-dimensional chaotic system with complex behavior has high application value. Based on the study of the well-known Euler equations, a new six-dimensional chaotic system is proposed. The new system proposed in this paper is a non-Hamiltonian conservative system consistent with volume conservation, with the type of equilibrium point that is unique to represent conservative systems: central. Energy analysis and the Lyapunov exponents, proving its conservative property. In addition, a variety of conservative chaotic flows are formed with different parameters of the system. Multiple stability and multiple transient transition phenomena of the system are analyzed. Field Programmable Gate Arrays implementation of the actual digital circuit of the system proved the success of this system. Finally, setting the unknown parameter adaptive multi-switching synchronization under the new six-dimensional conservative system can provide a variety of error combinations, which enables the application of high-dimensional multi-difficulty synchronization.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
