4.7 Article

A novel memcapacitor and its application in a chaotic circuit

Journal

NONLINEAR DYNAMICS
Volume 105, Issue 1, Pages 877-886

Publisher

SPRINGER
DOI: 10.1007/s11071-021-06627-5

Keywords

Memcapacitor; Memristor; Chaotic circuit; Multistability

Funding

  1. National Natural Science Foundation of China [61703246, 61703247]
  2. Qingdao Science and Technology Plan Project [19-6-2-2-cg]
  3. Elite Project of Shandong University of Science and Technology

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A novel memcapacitor designed with SBT memristor and two capacitors is proposed in this paper, along with a fifth-order memcapacitor and memristor chaotic circuit. The dynamic behaviors and stability of the system are analyzed, revealing various dynamic phenomena under different initial values and parameters. The study expands the research methods of memcapacitor for chaotic circuits.
In this paper, a novel memcapacitor is designed by the SBT (Sr0.95Ba0.05TiO3) memristor and two capacitors. A fifth-order memcapacitor and memristor chaotic circuit is proposed. The stability of the equilibrium point of the system is analyzed theoretically. Lyapunov exponents spectra, bifurcation diagrams, poincare maps and phase diagrams are used to analyze the dynamic behaviors of the system. The results show that under different initial values and parameters, the system produces rich dynamic behaviors such as stable points, limit cycles, chaos and so on. Specially, coexisting attractors, transient chaos, and steady-state chaos accompanied by burst period phenomena are also produced in the system. The proposed memcapacitor-based circuit expands the research methods of memcapacitor for application in chaotic circuits.

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