On stability and bifurcation of periodic solutions of delay differential equations

DOI10.1007/BF02935805zbMath1089.34058OpenAlexW2054364954MaRDI QIDQ2574343

A. A. El-Mahrouf, M. M. A. El-Sheikh Aly

Publication date: 21 November 2005

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02935805

zbMATH Keywords

periodic solutionsbifurcationlocal stabilitydelay differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Cites Work

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• The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag
• The existence of periodic solutions of the equation \(x'(t)=-f(x(t),x(t- {\tau{}}))\)
• Stability and bifurcation in delay-differential equations with two delays
• Local and global Hopf bifurcation in a scalar delay differential equation
• Global geometry of the stable regions for two delay differential equations
• Bifurcations of periodic solutions of delay differential equations
• Delay independent stability for additive neural networks
• Stability and Bifurcations of Equilibria in a Multiple-Delayed Differential Equation
• Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays

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