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Local structure of equivariant dynamics

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

Keywords

  • Vector Field
  • Periodic Orbit
  • Relative Equilibrium
  • Closed Subgroup
  • Tubular Neighbourhood

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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).

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  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).

    CrossRef  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).

    CrossRef  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.

    CrossRef  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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© 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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  • Print ISBN: 978-3-540-53736-6

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