Numerical bifurcation control of Mackey-Glass system

DOI10.1016/J.APM.2011.01.009zbMath1221.93235OpenAlexW2073361988MaRDI QIDQ638876

Wenxue Li, Huan Su, Xiao-Hua Ding

Publication date: 16 September 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.01.009

zbMATH Keywords

feedback controlchronic granulocytic leukemiaMackey-Glass systemnonstandard finite-difference scheme

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Dynamical systems in biology (37N25) Physiology (general) (92C30) Bifurcation theory of functional-differential equations (34K18) Computational methods for problems pertaining to biology (92-08)

Related Items (10)

Bifurcation and chaos in a discrete physiological control system ⋮ A relay Mackey-Glass model with two delays ⋮ Unnamed Item ⋮ Hopf bifurcation control for a class of delay differential systems with discrete-time delayed feedback controller ⋮ Numerical oscillations analysis for nonlinear delay differential equations in physiological control systems ⋮ NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE HEMATOPOIESIS MODEL ⋮ Bifurcation features of periodic solutions of the Mackey-Glass equation ⋮ Discrete traveling waves in a relay system of Mackey-Glass equations with two delays ⋮ Nonstandard finite difference methods: recent trends and further developments ⋮ Time-Delayed Sampled-Data Feedback Control of Differential Systems Undergoing Hopf Bifurcation

Cites Work

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• A nonstandard finite-difference scheme for the Lotka--Volterra system
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• Hopf bifurcation control for delayed complex networks
• Oscillation and Chaos in Physiological Control Systems
• Bifurcation analysis in a scalar delay differential equation
• BIFURCATION CONTROL: THEORIES, METHODS, AND APPLICATIONS
• On the use of nonstandard finite difference methods†
• Numerical bifurcation analysis of delay differential equations arising from physiological modeling
• Elements of applied bifurcation theory

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