Hopf bifurcation and exchange of stability in diffusive media

DOI10.1007/s00205-003-0289-yzbMath1064.35021OpenAlexW1979038599MaRDI QIDQ1879433

Guido Schneider, Thorsten Seelbach, Thomas Brand, Markus Kunze

Publication date: 22 September 2004

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-003-0289-y

zbMATH Keywords

continuous spectrumessential spectrum

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (10)

The Banach fixed point theorem application to Hopf bifurcation of a generalized Boussinesq system ⋮ The Hopf bifurcation theorem in Hilbert spaces for abstract semilinear equations ⋮ A Hopf-Bifurcation Theorem for the Vorticity Formulation of the Navier–Stokes Equations in ℝ³ ⋮ The existence of bifurcating invariant tori in a spatially extended reaction-diffusion-convection system with spatially localized amplification ⋮ Sharp relaxation rates for plane waves of general reaction-diffusion models ⋮ Stability of a Planar Front in a Class of Reaction-Diffusion Systems ⋮ Bifurcation of time-periodic solutions for the incompressible flow of nematic liquid crystals in three dimension ⋮ On the convective nature of the instability of a front undergoing a supercritical Turing bifurcation ⋮ Hopf bifurcation from fronts in the Cahn-Hilliard equation ⋮ Existence of periodic solutions of Boussinesq system

This page was built for publication: Hopf bifurcation and exchange of stability in diffusive media