Stability of small-amplitude periodic solutions near Hopf bifurcations in time-delayed fully-connected PLL networks

DOI10.1016/J.CNSNS.2016.10.001zbMath1485.37047OpenAlexW2528312306MaRDI QIDQ2005109

José R. Castilho Piqueira, Diego Paolo Ferruzzo Correa, Átila Madureira Bueno

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/165394

zbMATH Keywords

stabilityHopf bifurcationnetworkssynchronizationtime-delay differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (2)

Stability and Hopf bifurcation analysis of a TCP/RAQM network with ISMC procedure ⋮ Dynamic analysis of nonlinear variable frequency water supply system with time delay

Cites Work

• Unnamed Item
• Unnamed Item
• Synchronous states in time-delay coupled periodic oscillators: a stability criterion
• Graph-theoretic approach to stability of multi-group models with dispersal
• Global stability for non-monotone delay equations (with application to a model of blood cell production)
• Symmetric bifurcation analysis of synchronous states of time-delayed coupled phase-locked loop oscillators
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Theory of functional differential equations. 2nd ed
• Introduction to functional differential equations
• Self-organized criticality and partial synchronization in an evolving network
• Estimating critical Hopf bifurcation parameters for a second-order delay differential equation with application to machine tool chatter
• Stability and bifurcation analysis of a nonlinear DDE model for drilling
• Global exponential stability for coupled retarded systems on networks: a graph-theoretic approach
• Forward and backward continuation for neutral functional differential equations
• Amplitude death and spatiotemporal bifurcations in nonlocally delay-coupled oscillators
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Bifurcations in a planar system of differential delay equations modeling neural activity
• Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations

This page was built for publication: Stability of small-amplitude periodic solutions near Hopf bifurcations in time-delayed fully-connected PLL networks