 M J Field, Symmetry breaking for compact Lie groups,
Memoirs of the American Mathematical Society, 574, 1996.
 M J Field, Lectures on Bifurcations, Dynamics and Symmetry,
Pitman Research Notes in Mathematics, 356, 1996.
 M J Field, I Melbourne and M Nicol. Symmetric
attractors for diffeomorphisms and flows,
Proc. London Math. Soc. 72 (1996), 657696. (PDF file  no figures.)
 M J Field. Symmetry breaking for equivariant maps,
In: Algebraic groups and Lie groups, Volume in
Honour of R W Richardson, Cambridge University Press,
(1997), 219253. (PDF file)
 M J Field and W Parry, Stable ergodicity of skew extensions by compact
Lie groups, Topology 38(1), (1999), 167187.
 M J Field, Generating sets for compact
semisimple Lie groups, Proc. AMS, 127(11) (1999), 33613365.
 P Ashwin and M J Field, Heteroclinic networks in coupled cell systems,
Arch. Rat. Mech. and Anal., 148 (1999), 107143. ( PDF)
 M J Field and V Nitica, Stable topological transitivity
of skew and principal extensions, Nonlinearity 14 (2001), 10551070.
 M J Field, I Melbourne and A Torok. Decay of Correlations, Central Limit Theorems
and Approximation by
Brownian Motion for Compact Lie Group Extensions, Ergodic Theory & Dynamical Systems,
2003. (PDF file of article.)
 P Ashwin, M Field, A M Rucklidge and R Struman.
Phase resetting effects for robust cycles between chaotic sets,
Chaos 13 (2003), 973981, focus issue on chaotic itineracy.
 M J Field.
Combinatorial Dynamics, Dynamical Systems, 19 (2004), 217243.
(PDF file  version of May 25, 2004).
 M J Field and M Nicol,
Ergodic Theory of
equivariant diffeomorphisms: Markov partitions and Stable Ergodicity, Memoirs AMS,
169, 2004.
(PS file of article).
 P Ashwin and M Field
Product dynamics for homoclinic attractors
, Proc. Royal Soc., Ser. A, 461 (2005), 155177. PDF file (version of May 2004).
 M J Field, I Melbourne and A Torok.
Stable
ergodicity for smooth compact Lie group extensions of hyperbolic basic
sets.
, Ergodic Theory & Dynamical Systems, 25 (2) (2005), 517551.
PDF file or PS file
of article.
 M J Field, I Melbourne, M Nicol and A Torok. Statistical properties of compact
group extensions of hyperbolic flows and their time one maps, Discrete and Continuous Dynamical Systems, 2 (1) (2005), 7996.
PDF file or PS file
of article.
 M J Field, I Melbourne and A Torok. Stability of rapid mixing for hyperbolic flows,
Annals of Mathematics, 166(1) (2007), 269291. PDF file (version of 2005).
 M J Field, Singularity and stratification theory applied to dynamical systems,
Singularity Theory, Proceedings of the 2005 Marseille Singularity School and Conference, WSC, (2007), 219240.
 M J Field, Dynamics and Symmetry, (Imperial College Press, Advanced texts in mathematics, Vol. 3, 2007) (PDF file of preface and
table of contents.)
 N Agarwal and M J Field, Dynamical equivalence of network architecture for coupled dynamical systems I: asymmetric inputs,
preprint 2010, Nonlinearity 23 (2010), 12451268.
 N Agarwal and M J Field,
Dynamical equivalence of network architecture for coupled dynamical systems II: general case, preprint 2010, Nonlinearity 23 (2010), 12691289.
 N Agarwal, A Rodrigues and M J Field,
Dynamics near the Product of Planar Heteroclinic Attractors,
Dynamical Systems: An International Journal, 26(4) (2011), 447481
(preprint July 2011).
 M J Field, Exponential mixing for smooth hyperbolic suspension flows, Regular and Chaotic Dynamics 16(12) (2011), 90103.
(preprint 2010, version of Oct, 2010.)
 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), 271323. (preprint 2010, version of August, 2010).
 M J Field, Heteroclinic networks in homogeneous and heterogeneous identical cell systems, Journal of Nonlinear Science, 25(3) (2015), 779813. (preprint, version of Jan 11, 2015)
 Christian Bick and Michael Field, Asynchronous Networks and Event Driven Dynamics, (preprint 2016, Updated May 10, 2016), Nolinearity 30(2) (2017), 558594.
 C Bick and M J Field, Asynchronous Networks: Modularization of Dynamics Theorem, (preprint 2016, May 10, 2016), Nolinearity 30(2) (2017), 595621.
 M J Field, Patterns of Desynchronization and Resychronization in Heteroclinic Networks,
Nonlinearity 30(2) (2017), 516557 (preprint, updated version of November 16, 2016)
 C Bick and M J Field, Asynchronous Networks, (preprint May 2016),
to appear in Springer special issue of Research Perspectives CRM Barcelona: Nonsmooth Dynamics,
 C Bick and M J Field, Functional Asynchronous Networks:
Factorization of Dynamics and Function, (preprint 2016), MATEC Web of Conferences, 83 (2016).
 M A D Aguiar, A P Dias, and M J Field, Feedforward Networks: Adaptation, Feedback, and Synchrony,
to appear in J. Nonlinear Sci. (Version of September, 2018,
Initialization data for examples.)
 M A D Aguiar, A P Dias, and M J Field, Bifurcation, dynamics and feedback for
adaptive feedforward networks, in preparation.
 M J Field, Asynchronous Networks, in preparation.
email: mikefield@gmail.com
Professor Mike Field
Department of Mathematics
Imperial College
London SW7 2AZ
