Dynamic analysis for a fractional-order autonomous chaotic system
type: Item
instance of: scholarly article
title: Dynamic analysis for a fractional-order autonomous chaotic system
zbMATH Open document ID: 1417.37136
DOI: 10.1155/2016/8712496
author: Juan Nan
author: Wenju Du
author: Hongwei Luo
author: Jiangang Zhang
author: Yan-Dong Chu
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 7026913
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8712496
OpenAlex ID: W2481119570
Wikidata QID: Q59123684
cites work: A note on the fractional-order Chen system
cites work: Robust synchronization of perturbed Chen's fractional-order chaotic systems
cites work: Homotopy analysis method for solving fractional Lorenz system
cites work: Stabilization of generalized fractional order chaotic systems using state feedback control
cites work: Dynamical behavior of fractional-order Hastings-powell food chain model and its discretization
cites work: Limitations of frequency domain approximation for detecting chaos in fractional order systems
cites work: Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system
cites work: Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit
cites work: On chaos control and synchronization of the commensurate fractional order Liu system
cites work: Achieving synchronization between the fractional-order hyperchaotic novel and Chen systems via a new nonlinear control technique
cites work: CHAOTIC ATTRACTORS OF THE CONJUGATE LORENZ-TYPE SYSTEM
cites work: The diffusionless Lorenz equations; Shil'nikov bifurcations and reduction to an explicit map
cites work: Q3733844
cites work: A CHAOTIC SYSTEM WITH ONE SADDLE AND TWO STABLE NODE-FOCI
cites work: Analytical study of fractional-order multiple chaotic FitzHugh-Nagumo neurons model using multistep generalized differential transform method
cites work: Nonlinear dynamic behaviors of an optically injected vertical-cavity surface-emitting laser
cites work: Nonlinear dynamics analysis of a new autonomous chaotic system
cites work: Q4361663
cites work: Q4438574
cites work: Stability conditions, hyperchaos and control in a novel fractional order hyperchaotic system
cites work: Q5014955
cites work: Q4679023
description: scientific article; zbMATH DE number 7026913