JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (9): 91-97.doi: 10.6040/j.issn.1671-9352.0.2018.708

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Hidden attractor with two memristors and Hamilton energy control

MU Na-na, AN Xin-lei*, XU Hao-nan   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Online:2019-09-20 Published:2019-07-30

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Abstract: Based on the Kirchhoffs law, a nonlinear chaotic circuit model is designed by including a flux-controlled memristor and a charge-controlled memristor. The hidden attractor is found through analyzing characteristics of the equilibrium points. And then, simulation and comparison studies of bifurcation diagram and phase trajectory and Poincaré map of parameter are carried out by simulation software. The Hamiltonian energy function of the memristor system is calculated according to Helmholtz theorem, and the relationships between the current and the energy are discussed. Based on this, the new Hamilton energy control method is proposed to control the memristor system to the desired states by choosing different control parameter.

Key words: flux-controlled memristor, charge-controlled memristor, Helmholtz theorem, Hamilton energy, Hamilton energy control method

CLC Number: 

  • O415.5
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