Hopf bifurcation of a nonlinear delayed system of machine tool vibration via pseudo-oscillator analysis
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Publication:2470134
DOI10.1016/j.nonrwa.2006.07.005zbMath1146.70013OpenAlexW2046177894MaRDI QIDQ2470134
Publication date: 13 February 2008
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.07.005
Related Items (9)
Forced vibration of two-degrees-of-freedom machine tool feed system with clearance and friction ⋮ Residue harmonic balance solution procedure to nonlinear delay differential systems ⋮ Multiple scales scheme for bifurcation in a delayed extended van der Pol oscillator ⋮ Singular perturbation methods for nonlinear dynamic systems with time delays ⋮ Stability and Hopf bifurcation of a class of TCP/AQM networks ⋮ Effects of bearing clearance on the chatter stability of milling process ⋮ LOCAL HOPF BIFURCATION OF COMPLEX NONLINEAR SYSTEMS WITH TIME-DELAY ⋮ Hopf bifurcation of the sunflower equation ⋮ Bifurcation of the periodic motion in nonlinear delayed oscillators
Cites Work
- Estimating critical Hopf bifurcation parameters for a second-order delay differential equation with application to machine tool chatter
- Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations
- Delay equations. Functional-, complex-, and nonlinear analysis
- Averaging methods for differential equations with retarded arguments and a small parameter
- EXPERIMENTAL CHARACTERIZATION OF QUASIPERIODICITY AND CHAOS IN A MECHANICAL SYSTEM WITH DELAY
- BIFURCATION ANALYSIS OF A DELAYED DYNAMIC SYSTEM VIA METHOD OF MULTIPLE SCALES AND SHOOTING TECHNIQUE
- Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
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