Dynamics of a nonstandard finite-difference scheme for Mackey-Glass system

DOI10.1016/J.JMAA.2008.03.044zbMath1153.65074OpenAlexW1998156466MaRDI QIDQ929574

Huan Su, Xiao-Hua Ding

Publication date: 17 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.044

zbMATH Keywords

stabilitynumerical experimentsHopf bifurcationdelay differential equationnonstandard finite difference schemeMackey-Glass system

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Cell biology (92C37) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Bifurcation theory of functional-differential equations (34K18) Finite difference and finite volume methods for ordinary differential equations (65L12) Computational methods for problems pertaining to biology (92-08)

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Cites Work

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• A nonstandard finite-difference scheme for the Lotka--Volterra system
• Numerical Hopf bifurcation for a class of delay differential equations
• Oscillation and Chaos in Physiological Control Systems
• On the use of nonstandard finite difference methods†
• Elements of applied bifurcation theory

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