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Local structure of equivariant dynamics

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Singularity Theory and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1463))

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References

  1. J. F. Adams. Lectures on Lie Groups, (Benjamin, New York, 1969).

    MATH  Google Scholar 

  2. G. E. Bredon. Introduction to Compact Transformation Groups, (Pure and Applied Mathematics, 46, Academic Press, New York and London, 1972).

    MATH  Google Scholar 

  3. T. Bröker and T. tom Dieck. Representations of Compact Lie Groups, (Graduate Texts in Mathematics, Springer, New York, 1985).

    Book  Google Scholar 

  4. P. Chossat and M. Golubitsky. ‘Iterates of maps with symmetry’, Siam J. of Math. Anal., Vol. 19(6), 1988.

    Google Scholar 

  5. M. J. Field. ‘Equivariant Dynamical Systems’, Bull. Amer. Math. Soc., 76(1970), 1314–1318.

    Article  MathSciNet  MATH  Google Scholar 

  6. M. J. Field. ‘Equivariant Dynamical Systems’, Trans. Amer. Math. Soc., 259 (1980), 185–205.

    Article  MathSciNet  MATH  Google Scholar 

  7. M. J. Field. ‘On the structure of a class of equivariant maps’, Bull. Austral. Math. Soc., 26(1982), 161–180.

    Article  MathSciNet  MATH  Google Scholar 

  8. M. J. Field. ‘Isotopy and Stability of Equivariant Diffeomorphisms’, Proc. London Math. Soc. (3), 46(1983), 487–516.

    Article  MathSciNet  MATH  Google Scholar 

  9. M. J. Field. ‘Equivariant Dynamics’, Contemp. Math, 56(1986), 69–95.

    Article  MathSciNet  MATH  Google Scholar 

  10. M. J. Field, ‘Equivariant Bifurcation Theory and Symmetry Breaking’, J. Dyn. Diff. Equ., Vol. 1(4), (1989), 369–421.

    Article  MathSciNet  MATH  Google Scholar 

  11. M. G. Golubitsky and D. G. Schaeffer. Singularities and Groups in Bifurcation Theory, Vol. I, (Appl. Math. Sci. 51, Springer-Verlag, New York, 1985).

    Book  MATH  Google Scholar 

  12. 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).

    Book  MATH  Google Scholar 

  13. M. W. Hirsch, C. C. Pugh and M. Shub. Invariant Manifolds, (Springer Lect. Notes Math., 583, 1977).

    Google Scholar 

  14. M. Krupa. ‘Bifurcations of Relative Equilibria’, to appear in Siam J. of Math. Anal.

    Google Scholar 

  15. S. S. Smale. ‘Differentiable Dynamical Systems’, Bull. Amer. Math. Soc., 73(1967), 747–817.

    Article  MathSciNet  MATH  Google Scholar 

  16. 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).

    Google Scholar 

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Mark Roberts Ian Stewart

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© 1991 Springer-Verlag

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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

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  • DOI: https://doi.org/10.1007/BFb0085430

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53736-6

  • Online ISBN: 978-3-540-47047-2

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