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

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
Full Text: DOI
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[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
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