Double Hopf bifurcation with strong resonances in delayed systems with nonlinearities
From MaRDI portal
Publication:966292
DOI10.1155/2009/759363zbMath1190.37059OpenAlexW2141901926WikidataQ58649486 ScholiaQ58649486MaRDI QIDQ966292
Publication date: 23 April 2010
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/232140
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10)
Related Items (4)
Numerical semi-global analysis of a 1:2 resonant Hopf-Hopf bifurcation ⋮ Double Hopf bifurcation and quasi-periodic attractors in delay-coupled limit cycle oscillators ⋮ Normal forms of non-resonance and weak resonance double Hopf bifurcation in the retarded functional differential equations and applications ⋮ Hopf Bifurcation of a Type of Neuron Model with Multiple Time Delays
Cites Work
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Resonant Hopf-Hopf interactions in delay differential equations
- Elements of applied bifurcation theory.
- Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks
- On the proper form of the amplitude modulation equations for resonant systems
- Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback
- Effects of time delayed position feedback on a van der Pol-Duffing oscillator
- Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control
- DELAY-INDUCED BIFURCATIONS IN A NONAUTONOMOUS SYSTEM WITH DELAYED VELOCITY FEEDBACKS
- An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks
- CONTROLLING STOCHASTIC OSCILLATIONS CLOSE TO A HOPF BIFURCATION BY TIME-DELAYED FEEDBACK
This page was built for publication: Double Hopf bifurcation with strong resonances in delayed systems with nonlinearities