Geometric theory of dynamical systems

Main topics

• Equivariant dynamical systems and bifurcation theory.
• Heteroclinic cycles and networks.

Some 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 Aguiar, P Ashwin, A Dias, and M J Field, 'Dynamics of coupled cell systems: synchrony, heteroclinic cycles and inflation', Journal of Nonlinear Science, 21(2) (2011), 271-323.
• M J Field, 'Heteroclinic networks in homogeneous and heterogeneous identical cell systems', Journal of Nonlinear Science, 25(3) (2015), 779-813.

• M J Field, 'Patterns of Desynchronization and Resynchronization in Heteroclinic Networks', Nonlinearity 30(2) (2017), 516-557.