Relative Poincaré-Hopf bifurcation and galloping instability of traveling waves

DOI10.4310/MAA.2005.v12.n4.a1zbMath1370.37136MaRDI QIDQ871869

Kevin Zumbrun, Benjamin Texier

Publication date: 27 March 2007

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

zbMATH Keywords

weighted normscenter manifold reductiondetonation wavesstability of traveling wavesgalloping instabilityPoincaré-Hopf bifurcation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Reaction-diffusion equations (35K57) Shock waves and blast waves in fluid mechanics (76L05) Chemically reacting flows (80A32) Hypersonic flows (76K05) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

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