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Chin. Phys. B, 2021, Vol. 30(12): 120502    DOI: 10.1088/1674-1056/abfa03
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Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation

Yi-Zi Cheng(承亦梓), Fu-Hong Min(闵富红), Zhi Rui(芮智), and Lei Zhang(张雷)
School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210023, China
Abstract  An improved heterogeneous dual memristive circuit (DMC) is proposed based on Chua's circuit, which shows good symmetry and multistablility. For the difficulty in controlling the initial conditions, which restricts the engineering applications, the 3rd-order model (3OM) in flux-charge domain is derived from the 5th-order model (5OM) in volt-ampere domain by using the flux-charge analysis method (FCAM). The consistence of symmetry and multistability before and after dimensionality decreasing is meticulously investigated via bifurcation diagram, Lyapunov exponents, and especially attraction basins. The comparative analysis validates the effectiveness of reduction model and improves the controllability of the circuit. To avoid the noise in the analog circuit, a field-programmable gate array (FPGA) is utilized to realize the reduction model, which is rarely reported and valuable for relevant research and application.
Keywords:  memristive circuit      chaos      multistability      FPGA implementation  
Received:  23 March 2021      Revised:  06 April 2021      Accepted manuscript online:  21 April 2021
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
  05.45.Gg (Control of chaos, applications of chaos)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61971228 and 61871230), the Natural Science Foundations of Jiangsu Higher Education Institutions, China (Grant No. 19KJB520042), and the Postgraduate Research & Practice Innovation Program of Jiangsu Province, China (Grant No. SJCX21_0564).
Corresponding Authors:  Fu-Hong Min     E-mail:

Cite this article: 

Yi-Zi Cheng(承亦梓), Fu-Hong Min(闵富红), Zhi Rui(芮智), and Lei Zhang(张雷) Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation 2021 Chin. Phys. B 30 120502

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