Stability of bifurcating time-periodic and steady solutions of arbitrary amplitude

DOI10.1007/BF00250296zbMath0344.34043MaRDI QIDQ1232499

D. A. Nield, Daniel D. Joseph

Publication date: 1975

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

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability of solutions to ordinary differential equations (34D20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30)

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Cites Work

• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Stability of bifurcating solutions by Leray-Schauder degree
• Bifurcating time periodic solutions and their stability
• Topics in stability and bifurcation theory
• Friction factors in the theory of bifurcating Poiseuille flow through annular ducts
• Stability of convection in containers of arbitrary shape