Dynamical Systems (applied)
[with M.Golubitsky] Symmetry and stability in Taylor-Couette flow, SIAM J. Math. Anal. 17 (1986) 249-288.
Symmetry and chaotic data, Scientific Correspondence, Nature 354 (1991) 113.
[with A.S. Hill] 3-mode interactions with O(2) symmetry and a model for Taylor-Couette flow, Dyn. Stab. Sys. 6 (1991) 267-339.
Introduction to nonlinear oscillators, in Coupled Oscillating Neurons (eds. J.G.Taylor and C.L.T.Mannion), Springer-Verlag, Heidelberg 1992, 1-20.
Broken symmetry and the formation of spiral patterns in fluids, in Spiral Symmetry (eds. I.Hargittai and C.A.Pickover), World Scientific, Singapore 1992, 187-220.
[with G.P.King] Phase space reconstruction for symmetric dynamical systems, Physica D 58 (1992) 216-228. Reprinted in Interpretation of Time Series from Nonlinear Systems (eds. P.G.Drazin and G.P.King), North-Holland, Amsterdam 1992, 216-228.
[with M.Dellnitz, M.Golubistky, and A.Hohmann] Spirals in scalar reaction-diffusion equations, Internat. J. Bif. Chaos 5 (1995) 1487-1501.
[with M.D.Impey and R.M.Roberts] Hidden symmetries and pattern formation in Lapwood convection, Dyn. Stab. Sys. 11 (1996) 155-192.
Symmetry methods in collisionless many-body problems, J. Nonlin. Sci 6 (1996) 543-563; reprinted in Mechanics: from Theory to Computation (eds. J. Nonlin. Sci.), Springer, New York 2000, 313-333.
Symmetry-breaking cascades and the dynamics of morphogenesis and behaviour, Science Progress 82 (1999) 9-48.
Traces of symmetric chaos, Science 288 (7 April 2000) 57-58.
[with M.Golubitsky and E.Knobloch] Target patterns and spirals in planar reaction-diffusion systems, J. Nonlin. Sci. 10 (2000) 333-354.
Systems with emergent dynamics, CASYS Proceedings 2001.
Symmetry-breaking, pattern formation, and symmetric chaos in nonlinear dynamical systems, Butlletí Soc. Catalana Mat. 17 (2002) 123-141.
[with A.P.S. Dias] Secondary bifurcations in systems with all-to-all coupling, Proc. Roy. Soc. Lond. A 459 (2003) 1969-1986.
The second law of gravitics and the fourth law of thermodynamics, in From Complexity to Life: Explaining the Emergence of Life and Meaning (ed. N.H.Gregsen) [Proceedings of Templeton Symposium on Complexity, Information, and Design, Santa Fe 1999] Oxford University Press, Oxford, to appear.
[with M.Parker and M.G.M.Gomes] Forced symmetry-breaking of square lattice planforms, J. Dynam. Differential Equations 18 (2006); DOI: 10.1007/s10884-005-9004-z.
Pod systems: an equivariant ordinary differential equation approach to dynamical systems on a spatial domain, Nonlinearity 21 (2008) 1507-1531.
[with M.Parker and M.G.M.Gomes] Partial classification of heteroclinic behavour associated with the perturbation of hexagonal planforms, to appear.
[with M.Parker and M.G.M.Gomes] Behaviour of three-dimensional planforms under perturbation I: the simple-cubic and face-centred cubic lattices, in preparation.
[with M.Parker and M.G.M.Gomes] Behaviour of three-dimensional planforms under perturbation II: the body-centred cubic lattice, in preparation.
Phase oscillators with sinusoidal coupling interpreted in terms of projective geometry, Internat. J. Bif. Chaos 21 (2011) 1795-1804.
Sources of uncertainty in deterministic dynamics: an informal overview, Phil. Trans. R. Soc. A 369 (2011) 4705-4729. [Theme issue, Handling Uncertainty in Science].
[with M. Golubitsky] Recent advances in symmetric and network dynamics, Chaos 25, 097612 (2015); DOI: 10.1063/1.4918595.
[with M.Golubitsky] Symmetry and stability in Taylor-Couette flow, SIAM J. Math. Anal. 17 (1986) 249-288.
Symmetry and chaotic data, Scientific Correspondence, Nature 354 (1991) 113.
[with A.S. Hill] 3-mode interactions with O(2) symmetry and a model for Taylor-Couette flow, Dyn. Stab. Sys. 6 (1991) 267-339.
Introduction to nonlinear oscillators, in Coupled Oscillating Neurons (eds. J.G.Taylor and C.L.T.Mannion), Springer-Verlag, Heidelberg 1992, 1-20.
Broken symmetry and the formation of spiral patterns in fluids, in Spiral Symmetry (eds. I.Hargittai and C.A.Pickover), World Scientific, Singapore 1992, 187-220.
[with G.P.King] Phase space reconstruction for symmetric dynamical systems, Physica D 58 (1992) 216-228. Reprinted in Interpretation of Time Series from Nonlinear Systems (eds. P.G.Drazin and G.P.King), North-Holland, Amsterdam 1992, 216-228.
[with M.Dellnitz, M.Golubistky, and A.Hohmann] Spirals in scalar reaction-diffusion equations, Internat. J. Bif. Chaos 5 (1995) 1487-1501.
[with M.D.Impey and R.M.Roberts] Hidden symmetries and pattern formation in Lapwood convection, Dyn. Stab. Sys. 11 (1996) 155-192.
Symmetry methods in collisionless many-body problems, J. Nonlin. Sci 6 (1996) 543-563; reprinted in Mechanics: from Theory to Computation (eds. J. Nonlin. Sci.), Springer, New York 2000, 313-333.
Symmetry-breaking cascades and the dynamics of morphogenesis and behaviour, Science Progress 82 (1999) 9-48.
Traces of symmetric chaos, Science 288 (7 April 2000) 57-58.
[with M.Golubitsky and E.Knobloch] Target patterns and spirals in planar reaction-diffusion systems, J. Nonlin. Sci. 10 (2000) 333-354.
Systems with emergent dynamics, CASYS Proceedings 2001.
Symmetry-breaking, pattern formation, and symmetric chaos in nonlinear dynamical systems, Butlletí Soc. Catalana Mat. 17 (2002) 123-141.
[with A.P.S. Dias] Secondary bifurcations in systems with all-to-all coupling, Proc. Roy. Soc. Lond. A 459 (2003) 1969-1986.
The second law of gravitics and the fourth law of thermodynamics, in From Complexity to Life: Explaining the Emergence of Life and Meaning (ed. N.H.Gregsen) [Proceedings of Templeton Symposium on Complexity, Information, and Design, Santa Fe 1999] Oxford University Press, Oxford, to appear.
[with M.Parker and M.G.M.Gomes] Forced symmetry-breaking of square lattice planforms, J. Dynam. Differential Equations 18 (2006); DOI: 10.1007/s10884-005-9004-z.
Pod systems: an equivariant ordinary differential equation approach to dynamical systems on a spatial domain, Nonlinearity 21 (2008) 1507-1531.
[with M.Parker and M.G.M.Gomes] Partial classification of heteroclinic behavour associated with the perturbation of hexagonal planforms, to appear.
[with M.Parker and M.G.M.Gomes] Behaviour of three-dimensional planforms under perturbation I: the simple-cubic and face-centred cubic lattices, in preparation.
[with M.Parker and M.G.M.Gomes] Behaviour of three-dimensional planforms under perturbation II: the body-centred cubic lattice, in preparation.
Phase oscillators with sinusoidal coupling interpreted in terms of projective geometry, Internat. J. Bif. Chaos 21 (2011) 1795-1804.
Sources of uncertainty in deterministic dynamics: an informal overview, Phil. Trans. R. Soc. A 369 (2011) 4705-4729. [Theme issue, Handling Uncertainty in Science].
[with M. Golubitsky] Recent advances in symmetric and network dynamics, Chaos 25, 097612 (2015); DOI: 10.1063/1.4918595.
