Chaos control and Hopf bifurcation analysis of the Genesio system with distributed delays feedback

DOI10.1186/1687-1847-2012-166zbMath1377.34104OpenAlexW2136139727WikidataQ59290969 ScholiaQ59290969MaRDI QIDQ1690796

Junbiao Guan, Guixiang Wang, Fangyue Chen

Publication date: 12 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-166

zbMATH Keywords

feedbackHopf bifurcationchaos controldistributed time delay

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (3)

Transcritical and zero-Hopf bifurcations in the Genesio system ⋮ Positive solutions to nonlinear first-order impulsive dynamic equations on time scales ⋮ Positive solutions to PBVPs for nonlinear first-order impulsive dynamic equations on time scales

Cites Work

• Unnamed Item
• Stabilization and synchronization of Genesio-Tesi system via single variable feedback controller
• Complex dynamics in a prey predator system with multiple delays
• Relative controllability of fractional dynamical systems with delays in control
• Hopf bifurcation and Si'lnikov chaos of Genesio system
• Chaos synchronization of uncertain Genesio-Tesi chaotic systems with deadzone nonlinearity
• Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control
• Hopf bifurcation in Cohen-Grossberg neural network with distributed delays
• Delayed feedback control near Hopf bifurcation
• Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
• Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
• LMI optimization approach to stabilization of Genesio-Tesi chaotic system via dynamic controller
• Hopf bifurcation and chaos analysis of Chen's system with distributed delays
• Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics
• FURTHER RESULTS ON FUNCTIONAL PROJECTIVE SYNCHRONIZATION OF GENESIO–TESI CHAOTIC SYSTEM
• Controlling chaos
• Hopf bifurcation control in a congestion control model via dynamic delayed feedback
• Exponential synchronization of the Genesio–Tesi chaotic system via a novel feedback control

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