Hopf bifurcation for semilinear dissipative hyperbolic systems

DOI10.1016/j.jde.2014.04.003zbMath1310.35030arXiv1302.1414OpenAlexW2023763411MaRDI QIDQ2447573

Lutz Recke, I. Ya. Kmit'

Publication date: 28 April 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1414

zbMATH Keywords

Lyapunov-Schmidt methodimplicit function theorembifurcation directionreflection boundary conditionsfibre contraction principle

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32)

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