Multistability and coexisting transient chaos in a simple memcapacitive system

doi:10.1088/1674-1056/ab7e98

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 58502-058502.doi: 10.1088/1674-1056/ab7e98

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Multistability and coexisting transient chaos in a simple memcapacitive system

Fu-Ping Wang(王富平), Fa-Qiang Wang(王发强)

State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2020-01-06 修回日期:2020-03-02 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Fa-Qiang Wang E-mail:faqwang@xjtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 51377124) and the Science Fund for New Star of Youth Science and Technology of Shaanxi Province, China (Grant No. 2016KJXX-40).

Multistability and coexisting transient chaos in a simple memcapacitive system

Fu-Ping Wang(王富平), Fa-Qiang Wang(王发强)

State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received:2020-01-06 Revised:2020-03-02 Online:2020-05-05 Published:2020-05-05
Contact: Fa-Qiang Wang E-mail:faqwang@xjtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 51377124) and the Science Fund for New Star of Youth Science and Technology of Shaanxi Province, China (Grant No. 2016KJXX-40).

摘要/Abstract

摘要： The self-excited attractors and hidden attractors in a memcapacitive system which has three elements are studied in this paper. The critical parameter of stable and unstable states is calculated by identifying the eigenvalues of Jacobian matrix. Besides, complex dynamical behaviors are investigated in the system, such as coexisting attractors, hidden attractors, coexisting bifurcation modes, intermittent chaos, and multistability. From the theoretical analyses and numerical simulations, it is found that there are four different kinds of transient transition behaviors in the memcapacitive system. Finally, field programmable gate array (FPGA) is used to implement the proposed chaotic system.

关键词: memcapacitive system, multistability, coexisting attractors, transient transition behaviors

Abstract: The self-excited attractors and hidden attractors in a memcapacitive system which has three elements are studied in this paper. The critical parameter of stable and unstable states is calculated by identifying the eigenvalues of Jacobian matrix. Besides, complex dynamical behaviors are investigated in the system, such as coexisting attractors, hidden attractors, coexisting bifurcation modes, intermittent chaos, and multistability. From the theoretical analyses and numerical simulations, it is found that there are four different kinds of transient transition behaviors in the memcapacitive system. Finally, field programmable gate array (FPGA) is used to implement the proposed chaotic system.

Key words: memcapacitive system, multistability, coexisting attractors, transient transition behaviors

中图分类号: (Superconducting logic elements and memory devices; microelectronic circuits)

85.25.Hv

05.45.Pq (Numerical simulations of chaotic systems)

王富平, 王发强. Multistability and coexisting transient chaos in a simple memcapacitive system[J]. 中国物理B, 2020, 29(5): 58502-058502.

Fu-Ping Wang(王富平), Fa-Qiang Wang(王发强). Multistability and coexisting transient chaos in a simple memcapacitive system[J]. Chin. Phys. B, 2020, 29(5): 58502-058502.

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Multistability and coexisting transient chaos in a simple memcapacitive system

Multistability and coexisting transient chaos in a simple memcapacitive system

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