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Multiple mixed state variable incremental integration for reconstructing extreme multistability in a novel memristive hyperchaotic jerk system with multiple cubic nonlinearity |
| Meng-Jiao Wang(王梦蛟)† and Lingfang Gu(辜玲芳) |
| School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China |
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Abstract Memristor-based chaotic systems with infinite equilibria are interesting because they generate extreme multistability. Their initial state-dependent dynamics can be explained in a reduced-dimension model by converting the incremental integration of the state variables into system parameters. However, this approach cannot solve memristive systems in the presence of nonlinear terms other than the memristor term. In addition, the converted state variables may suffer from a degree of divergence. To allow simpler mechanistic analysis and physical implementation of extreme multistability phenomena, this paper uses a multiple mixed state variable incremental integration (MMSVII) method, which successfully reconstructs a four-dimensional hyperchaotic jerk system with multiple cubic nonlinearities except for the memristor term in a three-dimensional model using a clever linear state variable mapping that eliminates the divergence of the state variables. Finally, the simulation circuit of the reduced-dimension system is constructed using Multisim simulation software and the simulation results are consistent with the MATLAB numerical simulation results. The results show that the method of MMSVII proposed in this paper is useful for analyzing extreme multistable systems with multiple higher-order nonlinear terms.
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Received: 15 April 2023
Revised: 02 June 2023
Accepted manuscript online: 13 June 2023
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PACS:
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05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 62071411) and the Research Foundation of Education Department of Hunan Province, China (Grant No. 20B567). |
Corresponding Authors:
Meng-Jiao Wang
E-mail: wangmj@xtu.edu.cn
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Cite this article:
Meng-Jiao Wang(王梦蛟) and Lingfang Gu(辜玲芳) Multiple mixed state variable incremental integration for reconstructing extreme multistability in a novel memristive hyperchaotic jerk system with multiple cubic nonlinearity 2024 Chin. Phys. B 33 020504
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