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
J. F. Adams. Lectures on Lie Groups, (Benjamin, New York, 1969).
G. E. Bredon. Introduction to Compact Transformation Groups, (Pure and Applied Mathematics, 46, Academic Press, New York and London, 1972).
T. Bröker and T. tom Dieck. Representations of Compact Lie Groups, (Graduate Texts in Mathematics, Springer, New York, 1985).
P. Chossat and M. Golubitsky. ‘Iterates of maps with symmetry’, Siam J. of Math. Anal., Vol. 19(6), 1988.
M. J. Field. ‘Equivariant Dynamical Systems’, Bull. Amer. Math. Soc., 76(1970), 1314–1318.
M. J. Field. ‘Equivariant Dynamical Systems’, Trans. Amer. Math. Soc., 259 (1980), 185–205.
M. J. Field. ‘On the structure of a class of equivariant maps’, Bull. Austral. Math. Soc., 26(1982), 161–180.
M. J. Field. ‘Isotopy and Stability of Equivariant Diffeomorphisms’, Proc. London Math. Soc. (3), 46(1983), 487–516.
M. J. Field. ‘Equivariant Dynamics’, Contemp. Math, 56(1986), 69–95.
M. J. Field, ‘Equivariant Bifurcation Theory and Symmetry Breaking’, J. Dyn. Diff. Equ., Vol. 1(4), (1989), 369–421.
M. G. Golubitsky and D. G. Schaeffer. Singularities and Groups in Bifurcation Theory, Vol. I, (Appl. Math. Sci. 51, Springer-Verlag, New York, 1985).
M. G. Golubitsky, D. G. Schaeffer and I. N. Stewart. Singularities and Groups in Bifurcation Theory, Vol. II, (Appl. Math. Sci. 69, Springer-Verlag, New York, 1988).
M. W. Hirsch, C. C. Pugh and M. Shub. Invariant Manifolds, (Springer Lect. Notes Math., 583, 1977).
M. Krupa. ‘Bifurcations of Relative Equilibria’, to appear in Siam J. of Math. Anal.
S. S. Smale. ‘Differentiable Dynamical Systems’, Bull. Amer. Math. Soc., 73(1967), 747–817.
M. G. Golubitsky, M. Krupa and A. Vanderbauwhede. ’secondary bifurcations in symmetric systems’, Lecture Notes in Mathematics 118, (eds. C. M. Dafermos, G. Ladas, G. Papanicolaou), Marcel Dekker Inc., (1989).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
Field, M. (1991). Local structure of equivariant dynamics. In: Roberts, M., Stewart, I. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1463. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085430
Download citation
DOI: https://doi.org/10.1007/BFb0085430
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53736-6
Online ISBN: 978-3-540-47047-2
eBook Packages: Springer Book Archive