Abstract
This paper discusses the complex dynamic behavior of a novel chaotic system, which was firstly established by introducing a memristor into a similar Chen’s system. Then by choosing a as the key parameter, we analyze the stability of memristor system based on eigenvalue theory. It is also found that when a cross some critical values, the system can exhibit Neimark–Sacker bifurcation and chaos behaviors. Some numerical simulations including phase diagrams and maximum Lyapunov exponent graph of the memristor-based systems are presented to verify the existence of chaos attractors. Finally, to make the results of this paper useful in the actual situation, such as the design of chaos security algorithm, analog electronic circuit of memristor chaotic system is designed.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 62073302 and 61972170
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This work was supported in part by National Natural Science Foundation of China (Grant Nos. 62073302 and 62173130), and the research subject of Key Laboratory of System Control and Information Processing of Ministry of Education under Grant Scip202212, and Natural Science Foundation of Anhui Province (Grant No. 2008085QA09), Science Foundation of the Anhui Education Department (Grant No. KJ2021A0482).
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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