Triple-zero bifurcation in van der Pol's oscillator with delayed feedback

DOI10.1016/j.cnsns.2012.05.001zbMath1273.34079OpenAlexW1998585638MaRDI QIDQ1948261

Xing He, Chuandong Li, Yong Lu Shu

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.05.001

zbMATH Keywords

Bogdanov-Takens bifurcationzero-Hopf bifurcationtriple-zero bifurcation

Mathematics Subject Classification ID

Bifurcation theory of functional-differential equations (34K18)

Related Items (14)

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Cites Work

• A homotopy analysis method for limit cycle of the van der Pol oscillator with delayed amplitude limiting
• Zero-Hopf bifurcation for van der Pol's oscillator with delayed feedback
• Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
• Periodic solutions for Van der Pol equation with time delay
• Hopf-pitchfork bifurcation in van der Pol's oscillator with nonlinear delayed feedback
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Hopf and resonant codimension two bifurcation in van der Pol equation with two time delays
• Hopf bifurcation and stability of periodic solutions for van der Pol equation with time delay
• 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
• Stability and bifurcation analysis in the delay-coupled van der Pol oscillators
• Homoclinic orbits and Hopf bifurcations in delay differential systems with T-B singularity
• Bifurcation analysis in van der Pol's oscillator with delayed feedback
• Stability and bifurcation analysis in Van der Pol's oscillator with delayed feedback
• Nonresonant Hopf bifurcations of a controlled van der Pol–Duffing oscillator
• Zero singularities of codimension two and three in delay differential equations
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