https://doi.org/10.1140/epjp/s13360-023-04379-2
Regular Article
A new multistable chaotic system with memristor and memcapacitor for fractional-order: dynamical analysis, implementation, and synchronization
1
School of Information Science and Engineering, Dalian Polytechnic University, 116034, Dalian, China
2
Department of Mechanical and Manufacturing Engineering, University of Manitoba, Winnipeg, Canada
3
Communication Systems and Networks Research Group, Department of Information Systems, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia
b
moujun@csu.edu.cn
e
caoyinghong@dlpu.edu.cn
Received:
26
June
2023
Accepted:
13
August
2023
Published online:
24
August
2023
In this paper, a new multistable chaotic system with memristor and memcapacitor for fractional-order is constructed. A chaotic oscillator of parallel memcapacitor and memristor is designed, the system for fractional-order can be obtained. Then equilibrium point stability of the system is analyzed. The dynamical behavior of order and parameter is analyzed. Interestingly, special dynamical behavior state transfer is found. In addition, the multistability is found with the different initial values. The digital circuit is implemented on the DSP platform that verify the feasibility of the system. Finally, the synchronization controller is designed based on fractional Lyapunov stability theory and its synchronization is investigated. The results show that it has rich dynamical behaviors. It provides a reference for application in confidential communication.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and 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.
