4.6 Article

The Simplest Memristor Circuit With Hyperchaos

Journal

FRONTIERS IN PHYSICS
Volume 10, Issue -, Pages -

Publisher

FRONTIERS MEDIA SA
DOI: 10.3389/fphy.2022.904200

Keywords

memristor; meminductor; memcapacitor; coexisting attractors; state transition; DSP implementation

Funding

  1. National Natural Science Foundation of China [62061014, 61773010]
  2. Natural Science Foundation of Liaoning province [2020-MS-274]
  3. Basic Scientific Research Projects of Colleges and Universities of Liaoning Province [J202148]

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In this study, a chaotic circuit incorporating meminductors, memcapacitors, and memristors is designed and analyzed. The mathematical model and dynamic behaviors of the system are studied, showing special phenomena such as state transitions and coexistence of attractors. The circuit is implemented using DSP to demonstrate its feasibility.
In recent years, with the in-depth study of the memristor, meminductor, and memcapacitor, the fourth basic element has been developed vigorously. The chaotic circuit including the meminductor, memcapacitor, and memristor is designed in this study. The equation of state for the chaotic system is obtained according to Kirchhoff's volt-current law, and the mathematical model of the chaotic system is obtained through dimensionless processing. The stability of the equilibrium point is analyzed in detail, and the dynamic behaviors of the system are analyzed by traditional methods such as LEs and bifurcation diagram. Moreover, some special phenomena exist in the system, such as state transition and coexistence of attractors. Finally, the circuit is implemented by DSP to prove the realizability of chaotic circuit.

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