Nonlinear Dynamics

, Volume 96, Issue 1, pp 161–173 | Cite as

Chaotic oscillator based on memcapacitor and meminductor

  • Xiaoyuan WangEmail author
  • Jun Yu
  • Chenxi Jin
  • Herbert Ho Ching Iu
  • Simin Yu
Original Paper


Memcapacitor and meminductor are two new nonlinear memory circuit components defined on the basis of memristor. In the absence of physical devices of memcapacitor and meminductor, applying their equivalent circuit models into actual circuits to explore the characteristics of memcapacitor- and meminductor-based nonlinear circuits is meaningful. In this paper, a nonlinear oscillating circuit is designed based on the given nonvolatile memcapacitor and meminductor models, whose memory characteristics are analyzed using POP method in detail, and a series of dynamic characteristics of the novel chaotic circuit are analyzed, including Poincaré section, equilibrium point, system stability, bifurcation diagrams, Lyapunov exponent spectrums and dynamic map of the system. By analyzing the influence of parameters on system dynamics, the evolutionary law of the system is obtained, which helps to better use of this chaotic oscillator in possible application areas like communication encryption and synchronization approach dependent on the initial setting. In particular, coexisting attractors are found under different initial values, by drawing the attractive basin, four different types of attractors in the system are discovered, and from the attractive basin, the evolutionary process of the system under different initial values is obtained. Finally, the validity of the system is verified by DSP experiment, and the experimental results are consistent with the theoretical analysis.


Chaos Chaotic oscillator Coexisting attractors Memcapacitor Meminductor 



This work was supported by the Natural Science Foundation of Zhejiang Province (Grant No. LY18F010012) and the National Natural Science Foundation of China (Grant Nos. 61871429, 61771176).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.School of Electronics and InformationHangzhou Dianzi UniversityHangzhouPeople’s Republic of China
  2. 2.School of Electrical, Electronic and Computer EngineeringThe University of Western AustraliaPerthAustralia

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