Global multistability and analog circuit implementation of an adapting synapse-based neuron model

2020 ◽  
Vol 101 (2) ◽  
pp. 1105-1118
Author(s):  
Bocheng Bao ◽  
Yongxin Zhu ◽  
Chengqing Li ◽  
Han Bao ◽  
Quan Xu
Keyword(s):  
Neuron Model ◽  
Analog Circuit ◽  
Circuit Implementation ◽  
Analog Circuit Implementation

Optimal Synchronization of a Memristive Chaotic Circuit

2016 ◽  
Vol 26 (06) ◽  
pp. 1650093 ◽  
Author(s):  
Michaux Kountchou ◽  
Patrick Louodop ◽  
Samuel Bowong ◽  
Hilaire Fotsin ◽  
Jurgen Kurths
Keyword(s):  
Numerical Simulations ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Analog Circuit ◽  
Electronic Circuit ◽  
Dynamical Behavior ◽  
Circuit Implementation ◽  
Chaotic Circuit ◽  
Dynamical Properties ◽  
Analog Circuit Implementation

This paper deals with the problem of optimal synchronization of two identical memristive chaotic systems. We first study some basic dynamical properties and behaviors of a memristor oscillator with a simple topology. An electronic circuit (analog simulator) is proposed to investigate the dynamical behavior of the system. An optimal synchronization strategy based on the controllability functions method with a mixed cost functional is investigated. A finite horizon is explicitly computed such that the chaos synchronization is achieved at an established time. Numerical simulations are presented to verify the effectiveness of the proposed synchronization strategy. Pspice analog circuit implementation of the complete master-slave-controller systems is also presented to show the feasibility of the proposed scheme.

IMPLEMENTATION OF THE FRACTIONAL-ORDER CHEN–LEE SYSTEM BY ELECTRONIC CIRCUIT

2013 ◽  
Vol 23 (02) ◽  
pp. 1350030 ◽  
Author(s):  
SHIU-PING WANG ◽  
SENG-KIN LAO ◽  
HSIEN-KENG CHEN ◽  
JUHN-HORNG CHEN ◽  
SHIH-YAO CHEN
Keyword(s):  
Fractional Order ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Analog Circuit ◽  
Electronic Circuit ◽  
Electronic Circuits ◽  
Circuit Implementation ◽  
Nonlinear Dynamical ◽  
Analog Circuit Implementation ◽  
Good Agreement

In recent years, there has been expanding research on the applications of fractional calculus to the areas of signal processing, modeling and controls. Analog circuit implementation of chaotic systems is used in studying nonlinear dynamical phenomena, which is also applied in realizing the controller development. In this paper, chain fractance and tree fractance circuits are constructed to realize the fractional-order Chen–Lee system. The results are in good agreement with those obtained from numerical simulation. This study shows that not only is this system related to gyro motion but can also be applied to electronic circuits for secure communication.

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