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Applications

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Group Theoretic Methods in Bifurcation Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 762))

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References

  1. F. Busse, "The stability of finite amplitude cellular convection and its relationship to an extremum principle," J. Fluid Mech. 30 (1967), 625–650.

    Article  MATH  Google Scholar 

  2. F. Busse, "Patterns of convection in spherical shells," J. Fluid Mech. 72 (1975), 67–85.

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  3. P. Fife, "The Bénard problem for general fluid dynamical equations and remarks on the Boussinesq approximations," Indiana Univ. Math. Jour. 20 (1973).

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  4. Kozak, Rice, and Weeks, "Analytic approach to the theory of phase transitions," J. Chem. Phys. 52 (1970), p. 2416.

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  5. Raveché, H. J. and Stuart, C. A., "Towards a molecular theory of freezing," J. Chem. Phys. 63 (1975), 136–152.

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  6. Sattinger, D. H., "Group representation theory, bifurcation theory and pattern formation," Jour. Functional. Anal. 28 (1978), 58–101.

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  7. Sattinger, D. H., "Selection mechanisms for pattern formation," Arch. Rat. Mech. Anal. 66 (1977), 31–42.

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  8. Sattinger, D. H., "Bifurcation from rotationally invariant states," Jour. Math. Phys. 19 (1978), 1720–1732.

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© 1979 Springer-Verlag

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Sattinger, D.H. (1979). Applications. In: Group Theoretic Methods in Bifurcation Theory. Lecture Notes in Mathematics, vol 762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087462

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  • DOI: https://doi.org/10.1007/BFb0087462

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  • Print ISBN: 978-3-540-09715-0

  • Online ISBN: 978-3-540-38487-8

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