AN ENERGY ANALYSIS OF NONLINEAR OSCILLATORS WITH TIME-DELAYED COUPLING
From MaRDI portal
Publication:3579264
DOI10.1142/S0218127406016057zbMath1192.34083OpenAlexW2149029295MaRDI QIDQ3579264
Publication date: 6 August 2010
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127406016057
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcation theory of functional-differential equations (34K18)
Related Items
An energy analysis of the local dynamics of a delayed oscillator near a Hopf bifurcation ⋮ Delay-induced transitions in the birhythmic biological model under joint noise sources ⋮ A modified averaging scheme with application to the secondary Hopf bifurcation of a delayed van der Pol oscillator ⋮ Frequency-domain and time-domain methods for feedback nonlinear systems and applications to chaos control ⋮ Singular perturbation methods for nonlinear dynamic systems with time delays ⋮ PSEUDO-OSCILLATOR ANALYSIS OF SCALAR NONLINEAR TIME-DELAY SYSTEMS NEAR A HOPF BIFURCATION
Cites Work
- Unnamed Item
- On the stability bifurcation of a nonlinear time delay system
- Fundamental theorems of averaging for functional differential equations
- Total and partial amplitude death in networks of diffusively coupled oscillators
- Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks
- Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations
- The dynamics of two coupled van der Pol oscillators with delay coupling
- Analysis and simulation of chaotic systems.
- Averaging methods for differential equations with retarded arguments and a small parameter
- Robust stabilization to non-linear delayed systems via delayed state feedback: the averaging method
- Delayed-feedback control of oscillations in non-linear planar systems
