Geometric theory of dynamical systems

Main topics

  • Equivariant dynamical systems and bifurcation theory.
  • Heteroclinic cycles and networks.
Research supported by NSF Grants DMS-0071735 and DMS-0600927.

Recent publications

  • P Ashwin and M J Field, 'Product dynamics for homoclinic attractors', Proc. Royal Soc., ser. A, 461 (2005), 155-177.

  • M J Field, 'Singularity and stratification theory applied to dynamical systems', Singularity Theory, Proceedings of the 2005 Marseille Singularity School and Conference, WSC (2007), 219-240.
  • M J Field, Dynamics and Symmetry (Imperial College Press, 2007).
  • N Agarwal, A Rodrigues and M J Field, 'Dynamics near the Product of Planar Heteroclinic Attractors', Dynamical Systems: An International Journal, 26(4) (2011).
  • M J Field, 'Heteroclinic networks in homogeneous and heterogeneous identical cell systems', Journal of Nonlinear Science, 25(3) (2015), 779-813. (preprint, version of Jan 11, 2015)