Hopf bifurcation for delay differential equation with application to machine tool chatter

DOI10.1016/J.APM.2011.11.011zbMath1252.34084OpenAlexW2005572112WikidataQ115360491 ScholiaQ115360491MaRDI QIDQ693495

Qizhi Xie, Jianxin Han, QiChang Zhang

Publication date: 7 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.apm.2011.11.011

zbMATH Keywords

stabilityperiodic solutionsHopf bifurcationchatter

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Related Items (1)

Multi-modal method for chatter stability prediction and control in milling of thin-walled workpiece

Cites Work

• Unnamed Item
• Aspects of stable and unstable machining by Hopf bifurcation
• Estimating critical Hopf bifurcation parameters for a second-order delay differential equation with application to machine tool chatter
• Regenerative tool chatter near a codimension 2 Hopf point using multiple scales
• Semi-discretization method for delayed systems

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