Delayed Feedback Control and Bifurcation Analysis in a Chaotic Chemostat System

DOI10.1142/S021812741550087XzbMath1317.34167OpenAlexW2238477542MaRDI QIDQ5499896

Zhichao Jiang, Wanbiao Ma

Publication date: 5 August 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741550087x

zbMATH Keywords

Hopf bifurcationnumerical simulationdelayed feedback controlchaotic chemostat system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Control problems for functional-differential equations (34K35) 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) Invariant manifolds of functional-differential equations (34K19)

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Cites Work

• Unnamed Item
• Frequency-domain and time-domain methods for feedback nonlinear systems and applications to chaos control
• On control and synchronization in chaotic and hyperchaotic systems via linear feedback control
• Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
• The compound structure of a new chaotic attractor.
• Global existence of periodic solutions in a tri-neuron network model with delays
• A new chaotic attractor
• Multiple limit cycles in the chemostat with variable yield
• An equation for continuous chaos
• Adaptive synchronization of neural networks with or without time-varying delay
• SYNCHRONIZATION TRANSITION INDUCED BY SYNAPTIC DELAY IN COUPLED FAST-SPIKING NEURONS
• Zero singularities of codimension two and three in delay differential equations
• Controlling chaos
• A unified approach to controlling chaos via an LMI-based fuzzy control system design
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• On feedback-controlled synchronization of chaotic systems
• CHAOS SYNCHRONIZATION OF GENERAL LUR'E SYSTEMS VIA TIME-DELAY FEEDBACK CONTROL
• Synchronization in chaotic systems
• Less conservative conditions for asymptotic stability of impulsive control systems
• DELAY-DEPENDENT APPROACH TO STABILIZATION OF TIME-DELAY CHAOTIC SYSTEMS VIA STANDARD AND DELAYED FEEDBACK CONTROLLERS

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