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Book Review
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Book Information
Author(s):
D. H. Sattinger
Title:
Group theoretic methods in bifurcation theory
Additional book information:
Lecture Notes in Math., vol. 762, Springer-Verlag, Berlin, Heidelberg, 1979, 241 pp., $14.00
References:
- 1.
- D. H. Sattinger, Topics in stability and bifurcation theory, Lecture Notes in Math., vol. 309, Springer-Verlag, Berlin and New York, 1973. MR 463624
- 2.
- Klaus Kirchgassner, Bifurcation theory in nonlinear hydrodynamic stability, SIAM Review 17 (1975), 652-683. MR 380073
- 3.
- D. H. Sattinger, Bifurcation and symmetry breaking, notes presented at the NSF-CBMS Conference, Univ. of Florida, 1981. MR 659687
- 4.
- F. Busse, The stability of finite amplitude cellular convection and its relation to an extremum principle, J. Fluid Mech. 30 (1967).
- 5.
- Klaus Kirchgassner and Hansjörg Kielhöfer, Stability and bifurcation in fluid dynamics. Rocky Mountain J. Math. 3 (1973), 275-318. MR 319457
- 6.
- D. H. Sattinger, Selection mechanisms for pattern formations, Arch. Rational Mech. Anal. 66 (1977), 31-42. MR 488129
- 7.
- D. H. Sattinger, Group representation theory and branch points of nonlinear functional equations, SIAM J. Math. Anal. 8 (1977), 179-201. MR 438383
- 8.
- D. H. Sattinger, Bifurcation from rotationally invariant states, J. Math. Phys. 19(1978). MR 500398
- 9.
- D. H. Sattinger, Group representation theory, bifurcation theory and pattern formation, J. Funct. Anal. 28(1978), 1720-1732. MR 493378
- 10.
- George H. Knightly and D. Sather, Applications of group representations to the buckling of spherical shells, Applications of Non-linear Analysis in the Physical Sciences (H. Amann et al (eds. )), Pitman, London, 1981. MR 659693
- 11.
- George H. Knightly and D. Sather, Regularity and symmetry properties of solutions of the John Shell equations for aspherical shell, Contemporary Math., vol. 4, Amer. Math. Soc. Providence, R. I., 1981, pp. 45-59. MR 641225
- 12.
- M. Golubitsky and D. Schaeffer, A theory for imperfect bifurcation via singularity theory, Comm. Pure Appl. Math. 32 (1979), 21-98. MR 508917
- 13.
- M. Golubitsky and D. Schaeffer, Bifurcation with O (3) symmetry including applications to the Bénard problem, Comm. Pure Appl. Math. (to appear). MR 637496
- 14.
- Ernesto Buzano and M. Golubitsky, Bifurcation involving the hexagonal lattice, Technical Report #56, Department of Mathematics, Arizona State University, 1981. MR 713059
Additional Information:
Reviewer(s):
J. W.
Thomas
Review Information:
Journal:
Bull. Amer. Math. Soc.
7
(1982),
437-439.
DOI:
10.1090/S0273-0979-1982-15060-1
PII:
S 0273-0979(1982)15060-1
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