Equivariant Global Hopf Bifurcation in Abstract Nonlinear Parabolic Equations

2023/11/22 by Zalman Balanov, Wiesław Krawcewicz, Balanov, Zalman +5
Computer Science · Mathematics · Medicine · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.2311.13136

openalex publication_date 2023/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study local and global symmetric Hopf bifurcation in abstract parabolic systems by means of the twisted equivariant degree.

Related

• Equivariant Hopf bifurcation with arbitrary pressure laws
• Global Bifurcation in Symmetric Systems of Nonlinear Wave Equations
• Equivariant Hopf Bifurcation in a Class of Partial Functional Differential Equations on a Circular Domain
• The Equivariant Spectral Flow and Bifurcation for Functionals with Symmetries -- Part I
• O(2) Hopf bifurcation of viscous shock waves in a channel