Global view of Hopf bifurcations of a van der Pol oscillator with delayed state feedback
From MaRDI portal
Publication:987281
DOI10.1007/s11431-010-0073-9zbMath1232.37041OpenAlexW1969030481MaRDI QIDQ987281
Li Zhang, Huailei Wang, Hai-Yan Hu
Publication date: 13 August 2010
Published in: Science China. Technological Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11431-010-0073-9
Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Bifurcation theory of functional-differential equations (34K18)
Related Items (3)
A simple algorithm for testing the stability of periodic solutions of some nonlinear oscillators with large time delay ⋮ Normal forms of non-resonance and weak resonance double Hopf bifurcation in the retarded functional differential equations and applications ⋮ A review and guidance for pattern selection in spatiotemporal system
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Center manifold analysis of a DDE model of gene expression
- Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- 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
- Hopf bifurcation and stability of periodic solutions for van der Pol equation with time delay
- Numerical bifurcation analysis of delay differential equations
- Stability and bifurcation analysis of a nonlinear DDE model for drilling
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control
- Bifurcation analysis in van der Pol's oscillator with delayed feedback
- Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations
- Stability and bifurcation analysis in Van der Pol's oscillator with delayed feedback
- GLOBAL DYNAMICS OF A DUFFING OSCILLATOR WITH DELAYED DISPLACEMENT FEEDBACK
- COMPUTING FLOQUET MULTIPLIERS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
- BIFURCATION ANALYSIS OF A DELAYED DYNAMIC SYSTEM VIA METHOD OF MULTIPLE SCALES AND SHOOTING TECHNIQUE
- Applied Delay Differential Equations
- Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
- HOPF BIFURCATION OF TIME-DELAY LIENARD EQUATIONS
- The response of a parametrically excited van der Pol oscillator to a time delay state feedback
This page was built for publication: Global view of Hopf bifurcations of a van der Pol oscillator with delayed state feedback
