On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction
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Publication:4646893
DOI10.1098/rspa.2017.0502zbMath1404.74065OpenAlexW2769801881WikidataQ51774400 ScholiaQ51774400MaRDI QIDQ4646893
Tamas Insperger, Tamas G. Molnar, Zoltan Dombovari, Gabor Stepan
Publication date: 28 December 2018
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2017.0502
Dynamical systems in solid mechanics (37N15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)
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Cites Work
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- Double Hopf bifurcation in active control system with delayed feedback: application to glue dosing processes for particleboard
- Double Hopf bifurcation in delay differential equations
- Infinite dimensional slow modulations in a well known delayed model for cutting tool vibrations
- Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Averaging in infinite dimensions
- Theory of functional differential equations. 2nd ed
- Resonant Hopf-Hopf interactions in delay differential equations
- Elements of applied bifurcation theory.
- Fundamental theorems of averaging for functional differential equations
- Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback
- Double Hopf bifurcation of coupled dissipative stuart-Landau oscillators with delay
- Multiple scales analysis for double Hopf bifurcation with 1:3~resonance
- Two-parameter bifurcations in a network of two neurons with multiple delays
- Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control
- Regenerative tool chatter near a codimension 2 Hopf point using multiple scales
- Averaging methods for differential equations with retarded arguments and a small parameter
- Modelling nonlinear regenerative effects in metal cutting
- STRONG AND WEAK RESONANCES IN DELAYED DIFFERENTIAL SYSTEMS
- Bifurcation Analysis of a Simplified Model of a Pressure Relief Valve Attached to a Pipe
- Delay Differential Equations
- Estimates of the bistable region in metal cutting
- Analytical estimations of limit cycle amplitude for delay-differential equations
- An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
- Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
- Averaging methods in nonlinear dynamical systems
- Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
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