×

zbMATH — the first resource for mathematics

Stability of bifurcating time-periodic and steady solutions of arbitrary amplitude. (English) Zbl 0344.34043

MSC:
34D30 Structural stability and analogous concepts of solutions to ordinary differential equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34D20 Stability of solutions to ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Crandall, M.G., & P.H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues, and linearized stability. Arch. Rational Mech. Anal. 52, 161-180 (1973). · Zbl 0275.47044
[2] Hopf, E., Abzweigung einer periodischen Lösung eines Differentialsystems. Berichte der MathematischPhysikalischen Klasse der Sächsischen Akademie der Wissenschaften zu Leipzig, XCIV, 1-22 (1942).
[3] Joseph, D.D., Stability of convection in containers of arbitrary shape. J. Fluid Mech. 47, 257-282 (1971). · Zbl 0216.52803
[4] Joseph, D.D., Response curves for plane Poiseuille flow. In Advances in Applied Mechanics, Volume XIV (ed. C.S. Yih) New York: Academic Press (1974).
[5] Joseph, D.D., & T.S. Chen, Friction factors in the theory of bifurcating flow through annular ducts. J. Fluid Mech. 66, 189-207 (1974) · Zbl 0295.76025
[6] Joseph, D.D., & D.H. Sattinger, Bifurcating time periodic solutions and their stability. Arch. Rational Mech. Anal. 45, 79-109 (1972). · Zbl 0239.76057
[7] Sattinger, D.H., Stability of bifurcating solutions by Leray-Schauder degree. Arch. Rational Mech. Anal. 43, 154-166 (1971). · Zbl 0232.34027
[8] Sattinger, D.H., Topics in Stability and Bifurcation Theory. Lecture Notes in Mathematics, Vol. 309. Berlin, Heidelberg, New York: Springer 1973. · Zbl 0248.35003
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.