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References
ARKERYD, L. Catastrophe theory in Hilbert space, Tech. Report, Math. Dept., University of Gothenburg (1977).
Thom's theorem for Banach spaces, J. Lon. Math. Soc. (To appear).
CHILLINGWORTH, D.R.J. A global genericity theorem for bifurcation in variational problems, Preprint, Math. Dept., Univ. of Southampton (1978).
CHOW, S.-N., HALE, J.K. and MALLET-PARET, J. Applications of generic bifurcation, Arch. Rat. Mech. Anal. 59(1975), 159–188
Ibid Applications of generic bifurcation, Arch. Rat. Mech. Anal. 62(1976), 209–235.
CRANDALL, H.G. and RABINOWITZ, P.H. Bifurcation from simple eigenvalues, J. Funct. Anal. 8(1971), 321–340.
GUIMARÃES, L.C. Contact equivalence and bifurcation theory, Thesis, University of Southampton (1978).
KUO, T.-C. Characterization of v-sufficiency of jets, Topology, 11(1972), 115–131.
McLEOD, J.B. and SATTINGER, D.H. Loss of stability and bifurcation at a double eigenvalue, J. Funct. Anal. 14(1973), 62–84.
MAGNUS, R.J. On universal unfoldings of certain real functions on a Banach space, Math. Proc. Cam. Phil. Soc. 81(1977), 91–95.
Determinacy in a class of germs on a reflexive Banach space, Math. Proc. Cam. Phil. Soc. 84(1978), 293–302.
Universal unfoldings in Banach spaces: reduction and stability, Battelle-Geneva Math. Report 107(1977) (To appear in Math. Proc. Cam. Phil. Soc.).
On the local structure of the zero set of a Banach space valued mapping, J. Funct. Anal. 22(1976), 58–72.
The reduction of a vector-valued function near a critical point, Battelle-Geneva Math. Report 93(1975).
SHEARER, M. Small solutions of a non-linear equation in Banach space for a degenerate case, Proc. Royal Soc. Edinburgh, 79A (1977). 58–73.
Bifurcation in the neighbourhood of a non-isolated singular point, Israel J. Math. 30(1978), 363–381.
BUCHNER, M., MARSDEN, J. and SCHECTER, S. Differential topology and singularity theory in the solution of non-linear equations (preliminary version), University of California, Berkeley.
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Magnus, R. (1980). Topological equivalence in bifurcation theory. In: Izé, A.F. (eds) Functional Differential Equations and Bifurcation. Lecture Notes in Mathematics, vol 799. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089318
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DOI: https://doi.org/10.1007/BFb0089318
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