Guaranteed Estimates for the Length of Branches of Periodic Orbits for Equivariant Hopf Bifurcation

DOI10.1142/S0218127420501989zbMath1465.34039arXiv2002.03457OpenAlexW3005409494MaRDI QIDQ5138314

Edward Hooton, Zalman Balanov, Dmitrii I. Rachinskii

Publication date: 3 December 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03457

zbMATH Keywords

periodic orbitglobal Hopf bifurcation\(S^1\)-degreeequivariant systemspatiotemporal symmetry

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sliding Hopf bifurcation in interval systems
• Global bifurcation of periodic solutions with symmetry
• Singularities and groups in bifurcation theory. Volume II
• The Fuller index and global Hopf bifurcation
• Continua of cycles of higher-order equations
• Theory and applications of partial functional differential equations
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis
• Some global results for nonlinear eigenvalue problems
• Estimates of Periods and Global Continua of Periodic Solutions for State-Dependent Delay Equations
• Global Bifurcations of Periodic Orbits
• Noninvasive Stabilization of Periodic Orbits in O4-Symmetrically Coupled Systems Near a Hopf Bifurcation Point

This page was built for publication: Guaranteed Estimates for the Length of Branches of Periodic Orbits for Equivariant Hopf Bifurcation