scholarly journals Analysis and circuit implementation for the fractional-order Lorenz system

2013 ◽  
Vol 62 (14) ◽  
pp. 140503
Author(s):  
Jia Hong-Yan ◽  
Chen Zeng-Qiang ◽  
Xue Wei
Keyword(s):  
Fractional Order ◽  
Lorenz System ◽  
Circuit Implementation

Low-Voltage Low-Power Integrable CMOS Circuit Implementation of Integer- and Fractional–Order FitzHugh–Nagumo Neuron Model

2019 ◽  
Vol 30 (7) ◽  
pp. 2108-2122 ◽  
Author(s):  
Farooq Ahmad Khanday ◽  
Nasir Ali Kant ◽  
Mohammad Rafiq Dar ◽  
Tun Zainal Azni Zulkifli ◽  
Costas Psychalinos
Keyword(s):  
Low Power ◽  
Fractional Order ◽  
Neuron Model ◽  
Low Voltage ◽  
Cmos Circuit ◽  
Circuit Implementation

Analysis of a Nonlinear System with a Random Parameter

2014 ◽  
Vol 721 ◽  
pp. 366-369
Author(s):  
Hong Gang Dang ◽  
Xiao Ya Yang ◽  
Wan Sheng He
Keyword(s):  
Nonlinear System ◽  
Fractional Order ◽  
Approximation Method ◽  
Lorenz System ◽  
Laguerre Polynomial ◽  
Random Parameter ◽  
Order System ◽  
Order Complex ◽  
Ensemble Mean ◽  
Complex Lorenz System

In this paper, a nonlinear system with random parameter, which is called stochastic fractional-order complex Lorenz system, is investigated. The Laguerre polynomial approximation method is used to study the system. Then, the stochastic fractional-order system is reduced into the equivalent deterministic one with Laguerre approximation. The ensemble mean and sample responses of the stochastic system can be obtained.

Sign in / Sign up

Export Citation Format

Share Document