Period Doubling Bifurcation and Center Manifold Reduction in a Time-periodic and Time-delayed Model of Machining

DOI10.1177/1077546309341133zbMath1269.70036OpenAlexW2136416914MaRDI QIDQ5327578

Robert Szalai, Gabor Stepan

Publication date: 8 August 2013

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546309341133

zbMATH Keywords

bifurcationnormal formcenter manifoldperiod doublinghigh-speed milling

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (7)

Oscillations on one dimensional time dependent center manifolds: algebraic curves approach ⋮ Stability tests for second order linear and nonlinear delayed models ⋮ A SHORT SURVEY ON DELAY DIFFERENTIAL SYSTEMS WITH PERIODIC COEFFICIENTS ⋮ Stabilisation of second-order nonlinear equations with variable delay ⋮ Nonlinear output feedback control of a flexible link using adaptive neural network: stability analysis ⋮ Nonlinear output feedback control of a flexible link using adaptive neural network: controller design ⋮ Experimental observations on unsafe zones in milling processes

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