Related Experiment Video
Updated: May 11, 2025

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels
Published on: January 28, 2022
Analysis of bifurcation and explosive amplitude death in a pair of oscillators coupled via time-delay connection
Keiji Konishi1, Koki Yoshida2, Yoshiki Sugitani1
1Osaka Metropolitan University, Department of Electrical and Electronic Systems Engineering, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531, Japan.
Abstract:
Delay-induced amplitude death (AD) has received considerable research interest. Most studies on delay-induced AD investigated the local stability of equilibrium points. The present study examines the global dynamics of delay-induced AD in a pair of identical Stuart-Landau oscillators. Bifurcation diagrams consisting of synchronized periodic orbits and an equilibrium point are used to determine the mechanism of the emergence of delay-induced AD. It is shown that explosive delay-induced AD can occur via a Hopf bifurcation at the equilibrium point and a saddle-node bifurcation of synchronized periodic orbits when the delay time for the connection is continuously varied. The Hopf and saddle-node bifurcation curves in the coupling parameter space clarify the dependence of the coupling parameters on the global dynamics.
Related Concept Videos
Types of Damping
Forced Oscillations
Damped Oscillations
Although friction and other non-conservative...
Concept of Resonance and its Characteristics
Oscillations In An LC Circuit
Second Order systems II

