A centre-manifold analysis of variable speed machining

DOI10.1080/14689360310001609968zbMath1066.34080OpenAlexW1970185915MaRDI QIDQ4457066

N. Sri Namachchivaya, Henry J. van Roessel

Publication date: 21 March 2004

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360310001609968

zbMATH Keywords

chatter dynamics

Mathematics Subject Classification ID

Related Items (5)

The effect of oscillations in the dynamics of differential equations with delay ⋮ Delay equations with fluctuating delay related to the regenerative chatter I: reduced bifurcation equation ⋮ NOISE-SENSITIVITY IN MACHINE TOOL VIBRATIONS ⋮ Delay equations with fluctuating delay related to the regenerative chatter II: analysis of reduced bifurcation equation ⋮ Stability of limit cycles in a pluripotent stem cell dynamics model

Cites Work

• Delays in physiological systems
• Integral averaging and bifurcation
• Introduction to functional differential equations
• Spindle speed variation for the suppression of regenerative chatter
• Delay dynamical systems and applications to nonlinear machine-tool chatter.
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Alternative problems for nonlinear functional equations
• A bifurcation problem for a functional differential equation of finitely retarded type
• Stability and Bifurcations of Equilibria in a Multiple-Delayed Differential Equation
• UNIFIED APPROACH FOR NOISY NONLINEAR MATHIEU-TYPE SYSTEMS
• Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
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