Hopf bifurcation analysis and chaos control of a chaotic system without \~Silnikov orbits
type: Item
instance of: scholarly article
title: Hopf bifurcation analysis and chaos control of a chaotic system without \~Silnikov orbits
zbMATH Open document ID: 1418.37062
DOI: 10.1155/2015/912798
author: Na Li
author: Wei Tan
author: Huitao Zhao
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: This paper mainly investigates the dynamical behaviors of a chaotic system without \~Silnikov orbits by the normal form theory. Both the stability of the equilibria and the existence of local Hopf bifurcation are proved in view of analyzing the associated characteristic equation. Meanwhile, the direction and the period of bifurcating periodic solutions are determined. Regarding the delay as a parameter, we discuss the effect of time delay on the dynamics of chaotic system with delayed feedback control. Finally, numerical simulations indicate that chaotic oscillation is converted into a steady state when the delay passes through a certain critical value.
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 7025543
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/912798
OpenAlex ID: W2205957839
Wikidata QID: Q59105549
cites work: Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
cites work: Controlling chaos for the dynamical system of coupled dynamos
cites work: Delayed feedback control near Hopf bifurcation
cites work: Sequential synchronization of two Lorenz systems using active control
cites work: Relative controllability of fractional dynamical systems with delays in control
cites work: Q4217274
cites work: On feedback control of chaotic continuous-time systems
cites work: Bifurcation analysis and chaos control in Shimizu-Morioka chaotic system with delayed feedback
cites work: Non-existence of Shilnikov chaos in continuous-time systems
cites work: On Designing Time-Varying Delay Feedback Controllers for Master&ndash;Slave Synchronization of Lur'e Systems
cites work: Theory of functional differential equations. 2nd ed
cites work: Delay differential equations: with applications in population dynamics
cites work: Master-Slave Synchronization Using Dynamic Output Feedback
cites work: Hopf bifurcation and Si'lnikov chaos of Genesio system
cites work: Hopf bifurcation in Cohen-Grossberg neural network with distributed delays
cites work: Bifurcation analysis and control of chaos for a hybrid ratio-dependent three species food chain
cites work: Chaos control of Chen chaotic dynamical system.
cites work: Simple chaotic flows with a line equilibrium
cites work: Q3930015
cites work: A NEW CHAOTIC ATTRACTOR COINED
cites work: On dynamics analysis of a new chaotic attractor
cites work: On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion
Recommended article: Q5889923
Recommended article: Analysis and Control of Hopf Bifurcations
Recommended article: Q4436333
Recommended article: Analysis of Dynamical Behaviors in a Continuous Chaotic System Without Šil'nikov Orbits
Recommended article: Q4367488
Recommended article: Q2991794
Recommended article: Hopf Bifurcation Control of a Hyperchaotic Circuit System
Recommended article: Q3306545
Recommended article: Control of Hopf Bifurcation and Chaos as Applied to Multimachine System
Recommended article: Q4687855
description: scientific article; zbMATH DE number 7025543