Bifurcation analysis of a forced delay equation for machine tool vibrations
From MaRDI portal
Publication:2296668
DOI10.1007/s11071-019-04984-wzbMath1430.70081OpenAlexW2943136654WikidataQ127943785 ScholiaQ127943785MaRDI QIDQ2296668
János Lelkes, Tamás Kalmár-Nagy
Publication date: 18 February 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-019-04984-w
Bifurcations and instability for nonlinear problems in mechanics (70K50) Computational methods for bifurcation problems in dynamical systems (37M20) Multiple scale methods for ordinary differential equations (34E13)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semi-discretization for time-delay systems. Stability and engineering applications.
- Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
- An analysis of nonlinear normal contact microvibrations excited by a harmonic force
- Nonlinear behaviour of the regenerative chatter in turning process with a worn tool: forced oscillation and stability analysis
- Perturbation of a Hopf bifurcation by an external time-periodic forcing
- Resonances of a harmonically forced Duffing oscillator with time delay state feedback
- Remarks on the perturbation methods in solving the second-order delay differential equations
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Bifurcation analysis of a forced delay equation for machine tool vibrations
- Quasi-periodic oscillation envelopes and frequency locking in rapidly vibrated nonlinear systems with time delay
- The effect of time-delayed feedback controller on an electrically actuated resonator
- Regenerative tool chatter near a codimension 2 Hopf point using multiple scales
- Thermomechanical oscillations in material flow during high-speed machining
- Chaos in a mechanism with time delays under parametric and external excitation
- On higher order methods of multiple scales in non-linear oscillations-periodic steady state response
- MULTIPLE SCALES AND ENERGY ANALYSIS OF COUPLED RAYLEIGH-VAN DER POL OSCILLATORS WITH TIME-DELAYED DISPLACEMENT AND VELOCITY FEEDBACK: HOPF BIFURCATIONS AND AMPLITUDE DEATH
- Delay Differential Equations
- New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems
- A new perturbation solution for systems with strong quadratic and cubic nonlinearities
- Harmonic balance in delay-differential equations
- On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction
- Periodic and Chaotic Motion of a Time-Delayed Nonlinear System Under Two Coexisting Families of Additive Resonances
- Nonlinear Dynamics and Control of Ultrasonically Assisted Machining
- High-dimensional Harmonic Balance Analysis for Second-order Delay-differential Equations
- VAN DER POL'S OSCILLATOR UNDER DELAYED FEEDBACK
- Applied Delay Differential Equations
- An Introduction to Delay Differential Equations with Applications to the Life Sciences
- Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
This page was built for publication: Bifurcation analysis of a forced delay equation for machine tool vibrations
