Dynamic Analysis for a Fractional-Order Autonomous Chaotic System

We introduce a discretization process to discretize a modified fractional-order optically injected semiconductor lasers model and investigate its dynamical behaviors. More precisely, a sufficient condition for the existence and uniqueness of the solution is obtained, and the necessary and sufficient...

Full description

Saved in:
Bibliographic Details
Published inDiscrete dynamics in nature and society Vol. 2016; no. 2016; pp. 1 - 13
Main Authors Chu, Yandong, Du, Wenju, Nan, Juan, Jiangang, Zhang, Luo, Hongwei
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2016
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Behavior
Chaos theory
Discrete systems
Dynamic tests
Dynamical systems
Dynamics
Lasers
Mathematical models
Mathematical research
Researchers
Semiconductor lasers
Stability
Studies
Online AccessGet full text

Cover

More Information
Summary:We introduce a discretization process to discretize a modified fractional-order optically injected semiconductor lasers model and investigate its dynamical behaviors. More precisely, a sufficient condition for the existence and uniqueness of the solution is obtained, and the necessary and sufficient conditions of stability of the discrete system are investigated. The results show that the system’s fractional parameter has an effect on the stability of the discrete system, and the system has rich dynamic characteristics such as Hopf bifurcation, attractor crisis, and chaotic attractors.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1026-0226
1607-887X
DOI:10.1155/2016/8712496