Equivariant degree method for analysis of Hopf bifurcation of relative periodic solutions: case study of a ring of oscillators
type: Item
instance of: scholarly article
title: Equivariant degree method for analysis of Hopf bifurcation of relative periodic solutions: case study of a ring of oscillators
zbMATH Open document ID: 1397.34121
author: Zalman Balanov
author: Pavel Kravetc
author: Wieslaw Krawcewicz
author: Dmitrii Rachinskii
published in: Journal of Differential Equations
publication date: 2018-09-06T00:00:00Z
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 37G40
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 6933422
zbMATH Keywords: functional differential equation
zbMATH Keywords: symmetric coupling
zbMATH Keywords: equivariant Hopf bifurcation
zbMATH Keywords: equivariant degree method
zbMATH Keywords: passively mode-locked laser
zbMATH Keywords: systems with hysteresis
MaRDI profile type: Publication
full work available at URL: j.jde.2018.06.014
OpenAlex ID: W2808557976
cites work: Q1233671
cites work: An Index of Fixed Point Type for Periodic Orbits
cites work: Global Hopf bifurcation from a multiple eigenvalue
cites work: The Fuller index and global Hopf bifurcation
cites work: Global Bifurcations of Periodic Orbits
cites work: Applied equivariant degree. I: An axiomatic approach to primary degree
cites work: Q4792204
cites work: Q5694106
cites work: Q3645661
cites work: Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis
cites work: Sliding Hopf bifurcation in interval systems
cites work: Hopf bifurcation from a differentiable viewpoint
cites work: Q5615994
cites work: On relative periodic solutions of the planar general three-body problem
cites work: Point vortices on a sphere: Stability of relative equilibria
cites work: Hamiltonian Systems Near Relative Periodic Orbits
cites work: Relative equilibria of molecules
cites work: Periodic solutions of the N-body problem
cites work: Topological bifurcations of central configurations in the \(N\)-body problem
cites work: Bifurcations of Relative Equilibria
cites work: Equivariant Dynamical Systems
cites work: Q4206142
cites work: Q4492675
cites work: Hopf bifurcation from relative periodic solutions; secondary bifurcations from meandering spirals
cites work: A short treatise on the equivariant degree theory and its applications
cites work: Taylor--Couette problem and related topics
cites work: Q4341808
cites work: Applied Delay Differential Equations
cites work: Pulse interaction via gain and loss dynamics in passive mode locking
cites work: Q3994579
cites work: Transformation groups
cites work: Differential models of hysteresis
cites work: Q4002286
cites work: Q5658847
DOI: 10.1016/J.JDE.2018.06.014
description: scientific article; zbMATH DE number 6933422