Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
type: Item
instance of: scholarly article
title: Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
zbMATH Open document ID: 0981.34022
DOI: 10.1016/S0167-2789(99)00004-4
author: D. V. Ramana Reddy
author: Abhijit Sen
author: George L. Johnston
published in: Physica D
publication date: 1999-12-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/chao-dyn/9810023
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 1374338
zbMATH Keywords: dynamics
zbMATH Keywords: coupled limit cycle oscillators
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: stability boundaries
MaRDI profile type: Publication
arXiv ID: chao-dyn/9810023
cites work: Chemical oscillations, waves, and turbulence
cites work: Q3916410
cites work: Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities
cites work: Intrinsic fluctuations and a phase transition in a class of large populations of interacting oscillators.
cites work: Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function
cites work: Amplitude response of coupled oscillators
cites work: Oscillator death in populations of ''all to all'' coupled nonlinear oscillators
cites work: Amplitude death in an array of limit-cycle oscillators.
cites work: Phase diagram for the collective behavior of limit-cycle oscillators
cites work: Dynamics of a large system of coupled nonlinear oscillators
cites work: An approximation for prey-predator models with time delay
cites work: Relaxation oscillators with time delay coupling
OpenAlex ID: W2029040258
Recommended article: SYNCHRONIZATION AND BIFURCATION IN LIMIT CYCLE OSCILLATORS WITH DELAYED COUPLINGS
Recommended article: Double Hopf bifurcation and quasi-periodic attractors in delay-coupled limit cycle oscillators
Recommended article: Limit cycle oscillator in nonlinear systems with multiple time delays
Recommended article: Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks
Recommended article: Hopf bifurcations in time-delay systems with band-limited feedback
Recommended article: Q3641924
Recommended article: Hopf-pitchfork bifurcation of coupled van der Pol oscillator with delay
Recommended article: Hopf bifurcation and spatio-temporal patterns in delay-coupled van der Pol oscillators
Recommended article: Stability switches and Hopf bifurcations in a pair of delay-coupled oscillators
Recommended article: Stability and Hopf bifurcation of a nonlinear oscillator with multiple time-delays
description: scientific article