A DIRECT COMPUTATION OF THE PHASE STABILITY CRITERION FOR SPATIALLY HOMOGENEOUS TIME PERIODIC SOLUTIONS CLOSE TO A HOPF BIFURCATION

DOI10.1142/S0218127401003346zbMath1091.35503MaRDI QIDQ5474210

Emmanuel Risler

Publication date: 23 June 2006

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

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Nonlinear first-order PDEs (35F20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (1)

Diffusive stability of oscillations in reaction-diffusion systems

Cites Work

• A proof of the Benjamin-Feir instability
• Pattern formation outside of equilibrium
• The disintegration of wave trains on deep water Part 1. Theory

This page was built for publication: A DIRECT COMPUTATION OF THE PHASE STABILITY CRITERION FOR SPATIALLY HOMOGENEOUS TIME PERIODIC SOLUTIONS CLOSE TO A HOPF BIFURCATION