《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (9): 91-97.

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### 含两个忆阻器的隐藏吸引子及其Hamilton能量控制

1. 兰州交通大学数理学院, 甘肃 兰州 730070
• 出版日期:2019-09-20 发布日期:2019-07-30
• 作者简介:慕娜娜(1993— ),女,硕士研究生,研究方向为非线性动力学. E-mail:18298466482@163.com*通信作者简介:安新磊(1983— ),男,博士,副教授,研究方向为非线性动力学. E-mail:anxin1983@163.com
• 基金资助:
国家自然科学基金资助项目(61863022);甘肃省自然科学基金资助项目(17JR5RA096)

### 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

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.

• O415.5
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