Bogdanov-Takens bifurcation in an oscillator with negative damping and delayed position feedback
DOI10.1016/j.apm.2013.03.034zbMath1438.34249OpenAlexW1965035443MaRDI QIDQ1789531
Publication date: 10 October 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2013.03.034
Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19) Stationary solutions of functional-differential equations (34K21)
Related Items (17)
Cites Work
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- Stability, bifurcation and chaos of a delayed oscillator with negative damping and delayed feedback control
- Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Feedback and delays in neurological diseases: A modeling study using dynamical systems
- Resonant Hopf-Hopf interactions in delay differential equations
- Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback
- Suppressing flow-induced vibrations by parametric excitation
- Bifurcation analysis of a class of first-order nonlinear delay-differential equations with reflectional symmetry
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Homoclinic orbits and Hopf bifurcations in delay differential systems with T-B singularity
- Singularity analysis on a planar system with multiple delays
- An unfolding of the Takens-Bogdanov singularity
- Zero singularities of codimension two and three in delay differential equations
- TRANSITION TO CHAOS FROM A TWO-TORUS IN A DELAYED FEEDBACK SYSTEM
- Complex dynamics in metal cutting
- Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback
- STEADY-STATE, HOPF AND STEADY-STATE-HOPF BIFURCATIONS IN DELAY DIFFERENTIAL EQUATIONS WITH APPLICATIONS TO A DAMPED HARMONIC OSCILLATOR WITH DELAY FEEDBACK
- Stability and multiple bifurcations of a damped harmonic oscillator with delayed feedback near zero eigenvalue singularity
- LOCAL STABILITY, HOPF AND RESONANT CODIMENSION-TWO BIFURCATION IN A HARMONIC OSCILLATOR WITH TWO TIME DELAYS
- Stability Criteria for Second-Order Dynamical Systems With Time Lag
- Bifurcations in nonlinear discontinuous systems
- Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
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