Effect of regenerative process on the sample stability of a multiple delay differential equation

DOI10.1016/S0960-0779(01)00234-XzbMath1006.34075WikidataQ115337376 ScholiaQ115337376MaRDI QIDQ1610427

Mustapha S. Fofana

Publication date: 19 August 2002

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

zbMATH Keywords

stabilityHopf bifurcationLyapunov exponentintegral averaging methodstochastic chatteringtwo-dimensional ordinary differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (6)

Convergence of numerical solutions to stochastic delay differential equations with jumps ⋮ Experiment-based identification of time delays in linear systems ⋮ Nonlinear analysis of chatter vibration in a cylindrical transverse grinding process with two time delays using a nonlinear time transformation method ⋮ Asymptotic Lyapunov stability with probability one of quasi-integrable Hamiltonian systems with delayed feedback control ⋮ Effects of bearing clearance on the chatter stability of milling process ⋮ Asymptotic Lyapunov stability with probability one of quasi linear systems subject to multi-time-delayed feedback control and wide-band parametric random excitation

Cites Work

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• Integral averaging and bifurcation
• Introduction to functional differential equations
• THE SOUTHWELL METHOD FOR PREDICTING CRITICAL LOADS OF ELASTIC STRUCTURES
• Stochastic Sample Stability of Oscillatory Systems
• Stability and Bifurcations of Equilibria in a Multiple-Delayed Differential Equation
• The lyapunov spectrum and stable manifolds for stochastic linear delay equations

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