This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Antman & H.B. Keller, eds., Bifurcation theory and nonlinear eigenvalue problems. W.A. Benjamin, New York, 1969.
L. Bauer, H.B. Keller, & E. Reiss, “Multiple eigenvalues lead to secondary bifurcation”, SIAM J. Appl. Math. 17 (1975) pp. 101–122.
T.B. Benjamin, “Bifurcation phenomena in steady flows of a viscous fluid”, Proc. Royal Soc. London, Series A 359 (1978) pp. 1–26 and pp. 27–43.
S.N. Chow, J.K. Hale & J. Mallet-Paret, “Application of generic bifurcation. I and II”, Arch. Rat. Mech. Anal. 59 (1975) pp. 159–188 and 62 (1976) pp. 209–235.
M. Golubitsky & B. Keyfitz, “A qualitative study of the steady state solutions for a continuous flow stirred tank chemical reactor”, SIAM J. Math. Anal. 11 (1980) pp. 316–339.
M. Golubitsky & D. Schaeffer, “A theory for imperfect bifurcation via singularity theory”, Comm. Pure Appl. Math. 32 (1979) pp. 21–98.
M. Golubitsky & D. Schaeffer, “Imperfect bifurcation in the presence of symmetry”, Comm. Math. Physics 67 (1979) pp. 205–232.
P. Hall, to appear.
K. Kirchgassner, “Die Instabilität der Strömung zwischen zwei rotierenden Zylindern gegenuba Taylor-Wirbeln für beliebige Spaltbreiten,” Z. fur Ang. Math. Phys. 12 (1961), pp. 14–30.
J. Mather, “Stability of C∞ mappings III: Finitely determined map germs”, Publ. Math. IHES 35 (1968) pp. 127–156.
R. Magnus & T. Poston, “On the full unfolding of the Von Karman equations at a double eigenvalue”, Battelle Math. Report No. 109 (1977), Geneva.
B. Matkowsky & L. Putnick, “Multiple buckled states of rectangular plates”, International J. Nonlin. Mech. 9 (1973) pp. 89–103.
D. Schaeffer, “Qualitative analysis of a model for boundary effects in the Taylor problem”, Math. Proc. Camb. Phil. Soc. 87 (1980) pp. 307–337.
D. Schaeffer & M. Golubitsky, “Boundary conditions and mode jumping in the buckling of a rectangular plate”, Comm. Math. Phys.
D. Schaeffer & M. Golubitsky, “Bifurcation with 0(3) symmetry including applications to the Benard problem”, to appear.
M. Stein, “The phenomenon of change in buckle pattern in elastic structures”, NASA Technical Report R-39 (1959).
A. Uppal, W.H. Ray & A.B. Poore, “The classification of the dynamic behaviour of continuous stirred tank reactors—influence of reactor residence time”, Chem. Eng. Sci. 31 (1976).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Schaeffer, D., Hayden, J. (1981). General introduction to steady state bifurcation. In: Rand, D., Young, LS. (eds) Dynamical Systems and Turbulence, Warwick 1980. Lecture Notes in Mathematics, vol 898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091905
Download citation
DOI: https://doi.org/10.1007/BFb0091905
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11171-9
Online ISBN: 978-3-540-38945-3
eBook Packages: Springer Book Archive