Stability and bifurcation of a numerical discretization Mackey-Glass system

DOI10.1016/j.chaos.2006.03.053zbMath1132.37030OpenAlexW2072383172MaRDI QIDQ2468083

Dejun Fan, Ming-Zhu Liu, Xiao-Hua Ding

Publication date: 30 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.03.053

zbMATH Keywords

periodic solutionsHopf bifurcationsnormal formglobal attractorscenter manifoldoscillatory behaviorphysiological control system in blood circulation

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcations of singular points in dynamical systems (37G10) Physiology (general) (92C30) Computational methods for bifurcation problems in dynamical systems (37M20) Bifurcation theory of functional-differential equations (34K18)

Related Items (9)

Numerical Hopf bifurcation of Runge-Kutta methods for a class of delay differential equations ⋮ Organization and identification of solutions in the time-delayed Mackey-Glass model ⋮ Numerical time-delayed feedback control in a neural network with delay ⋮ Dynamics of a nonstandard finite-difference scheme for delay differential equations with unimodal feedback ⋮ Extinction and permanence of the numerical solution of a two-prey one-predator system with impulsive effect ⋮ NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE HEMATOPOIESIS MODEL ⋮ Stability analysis in a second-order differential equation with delays ⋮ Numerical Hopf bifurcation of linear multistep methods for a class of delay differential equations ⋮ Numerical dynamics of a nonstandard finite-difference-\(\theta\) method for a red blood cell survival model

Uses Software

• RODAS

Cites Work

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