Corank-two Bifurcations for the Brusselator with non-flux boundary conditions

DOI10.1080/02681118608806013zbMath0647.34037OpenAlexW2068631301MaRDI QIDQ3791492

Gerhard Dangelmayr, Dieter Armbruster

Publication date: 1986

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681118608806013

zbMATH Keywords

double-zero eigenvaluereaction-diffusion equationssteady-state bifurcationstrimolecular chemical reactionstructurally stable bifurcation diagramsnon-flux boundary-value problems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Boundary value problems for ordinary differential equations (34B99)

Related Items

Group Equivariant Singularity Theory in the Bifurcation of Interfacial Wilton Ripples, Analysis of bifurcations in reaction–diffusion systems with no-flux boundary conditions: the Sel'kov model, Coupled stationary bifurcations in non-flux boundary value problems, Double Degeneracy in the Immiscible Wilton Ripple Phenomenon: A Three Perturbation Parameter Problem in Bifurcation Theory, Dynamics in the 1:2 spatial resonance with broken reflection symmetry, New type of complex dynamics in the \(1:2\) spatial resonance, Dissolution-driven porous-medium convection in the presence of chemical reaction

Cites Work

• Classification and unfoldings of degenerate Hopf bifurcations
• Degenerate bifurcations near a double eigenvalue in the Brusselator
• Singular Secondary Bifurcation
• Coupled stationary bifurcations in non-flux boundary value problems