• M. Golubitsky and I. Stewart. Coordinate changes for network dynamics. Dynamical Systems. 32 (2017) 80-116; DOI 10.1080/14689367.2016.1235136 [Abstract] [PDF 902K]
• M. Golubitsky and I. Stewart. Homeostasis, singularities and networks. J. Mathematical Biology. 74 (2017) 387-407 DOI 10.1007/s00285-016-1024-2 [Abstract] [PDF 853K]
• M. Golubitsky, L. Matamba Messi and L.E. Spardy. Symmetry types and phase-shift synchrony in networks. Physica D. 320 (2016) 9-18. [Abstract] [PDF 478K]
• M. Golubitsky and I. Stewart. Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. Chaos. 26 (2016) 094803; DOI 10.1063/1.4953664 [Abstract] [PDF 979K]
• C. Diekman and M. Golubitsky. Network symmetry and binocular rivalry experiments. J. Math. Neuro. 4 (12) (2014) DOI 10.1186/2190-8567-4-12 [Abstract] [PDF 1.3M]
• C. Diekman, M. Golubitsky and YJ. Wang. Derived patterns in binocular rivalry networks. J. Math. Neuro. 3 (6) (2013) doi:10.1186/2190-8567-3-6 [Abstract] [PDF 1.1M]
• C. Diekman, M. Golubitsky, T. McMillen and YJ. Wang. Reduction and dynamics of a generalized rivalry network with two learned patterns. SIAM J. Appl. Dynam. Sys. 11 (4) (2012) 1270-1309. [Abstract] [PDF 1.2M]
• M. Golubitsky and C. Postlethwaite. Feed-forward networks, center manifolds, and forcing. Discrete and Continuous Dynamical Systems - Series A. 32 (2012) 2913-2935. [Abstract] [PDF 541K]
• M. Golubitsky, D. Romano and YJ. Wang. Network periodic solutions: patterns of phase-shift synchrony. Nonlinearity. 25 (2012) 1045-1074. [Abstract] [PDF 480K]
• I. Stewart and M. Golubitsky. Synchrony-breaking bifurcation at a simple real eigenvalue for regular networks 1:1-dimensional cells. SIAM J. Appl. Dynam. Sys. 10 (4) (2011) 1404-1442. [Abstract] [PDF 428K]
• M. Golubitsky, D. Romano and YJ. Wang. Network periodic solutions: full oscillation and rigid synchrony. Nonlinearity. 23 (2010) 3227-3243. [Abstract] [PDF 202K]
• M.A.D. Aguiar, A.P.S. Dias, M. Golubitsky and M.C.A. Leite. Bifurcations from regular quotient networks: A first insight. Physica D. 238 (2) (2009) 137-155. [Abstract] [PDF 1.4M]
• M. Golubitsky and R. Lauterbach. Bifurcations from synchrony in homogeneous networks: linear theory. SIAM J. Appl. Dynam. Sys. 8 (1) (2009) 40-75. [Abstract] [PDF 482K]
• M. Golubitsky, C. Postlethwaite, L-J. Shiau and Y. Zhang. The feed-forward chain as a filter amplifier motif. In: Coherent Behavior in Neuronal Networks. (K. Josic, M. Matias, R. Romo, and J. Rubin, eds.) Springer, 2009, 95-120. [Abstract] [PDF 594K]
• M.A.D. Aguiar, A.P.S. Dias, M. Golubitsky and M.C.A. Leite. Homogeneous coupled cell networks with S_3-symmetric quotient. Discrete and Continuous Dynam. Sys. Supplement (2007) 1-9. [Abstract] [PDF 205K]
• F. Antoneli, A.P.S. Dias, M. Golubitsky and YJ. Wang. Synchrony in lattice differential equations. In: Some Topics In Industrial and Applied Mathematics. (R. Jeltsch, T. Li, and I. Sloan, eds.) Contemporary Applied Mathematics Series 8 World Scientific Publ. Co., 2007, [Abstract] [PDF 341K]
• M. Golubitsky and M. Krupa. Stability computations for nilpotent Hopf bifurcations in coupled cell systems. International Journal of Bifurcation and Chaos. 17 (2007) 2595-2603. [Abstract] [PDF 410K]
• M. Golubitsky, L-J. Shiau and I. Stewart. Spatiotemporal symmetries in the disynaptic canal-neck projection. SIAM J Appl Math. 67 (5) (2007) 1396-1417. [Abstract] [PDF 218K]
• N.J. McCullen, T. Mullin and M. Golubitsky. Sensitive signal detection using a feed-forward oscillator network. Phys. Rev. Lett. 98 (2007) 254101. [Abstract] [PDF 246K]
• F. Antoneli, A.P.S. Dias, M. Golubitsky and YJ. Wang. Flow invariant subspaces for lattice dynamical systems. In: Bifurcation Theory and Spatio-Temporal Pattern Formation. (W. Nagata and N.S. Namachchivaya, eds.) Fields Institute Communications, 2006, 1-8. [Abstract] [PDF 172K]
• T. Elmhirst and M. Golubitsky. Nilpotent Hopf bifurcations in coupled cell systems. SIAM J. Appl. Dynam. Sys. 5 (2006) 205-251. [Abstract] [PDF 489K]
• M. Golubitsky. Symmetry and Neuroscience. Current Events, Amer. Math. Soc. January 14 (2006) [Abstract] [PDF 700K]
• M. Golubitsky, K. Josic and E. Shea-Brown. Winding numbers and averaged frequencies in phase oscillator networks. J. Nonlinear Science. 16 (2006) 201-231. [Abstract] [PDF 2.4M]
• M. Golubitsky and I. Stewart. Nonlinear dynamics of networks: the groupoid formalism. Bull. Amer. Math. Soc. 43 (2006) 305-364. [Abstract] [PDF 2.4M]
• M.C.A. Leite and M. Golubitsky. Homogeneous three-cell networks. Nonlinearity. 19 (2006) 2313-2363. [Abstract] [PDF 497K]
• C.A. Pinto and M. Golubitsky. Central pattern generators for bipedal locomotion. J. Math. Biol. 53 (2006) 474-489. [Abstract] [PDF 189K]
• F. Antoneli, A.P.S. Dias, M. Golubitsky and YJ. Wang. Patterns of synchrony in lattice dynamical systems. Nonlinearity. 18 (2005) 2193-2209. [Abstract] [PDF 396K]
• M. Golubitsky, K. Josic and L-J. Shiau. Bursting in coupled cell systems. In: Bursting: The Genesis of Rhythm in the Nervous System. (S. Coombes and P.C. Bressloff, eds.) World Scientific Publ. Co., 2005, 205-225. [Abstract] [PDF 642K]
• M. Golubitsky and I. Stewart. Synchrony versus symmetry in coupled cells. In: Equadiff 2003: Proceedings of the International Conference on Differential Equations. (F. Dumortier, H.W. Broer, J. Mawhin, A. Vanderbauwhede and S.M. Verduyn Lunel, eds.) World Scientific Publ. Co., Singapore, 2005, 13-24. [Abstract] [PDF 643K]
• M. Golubitsky, I. Stewart and A. Torok. Patterns of synchrony in coupled cell networks with multiple arrows. SIAM J. Appl. Dynam. Sys. 4 (1) (2005) 78-100. [Abstract] [PDF 363K]
• YJ. Wang and M. Golubitsky. Two-color patterns of synchrony in lattice dynamical systems: complete. University of Houston preprint. (2005) [Abstract] [PDF 923K]
• YJ. Wang and M. Golubitsky. Two-color patterns of synchrony in lattice dynamical systems. Nonlinearity. 18 (2005) 631-657. [Abstract] [PDF 711K]
• M. Golubitsky, M. Nicol and I. Stewart. Some curious phenomena in coupled cell systems. J. Nonlinear Sci. 14 (2) (2004) 207-236. [Abstract] [PDF 1.3M]
• M. Golubitsky, M. Pivato and I. Stewart. Interior symmetry and local bifurcation in coupled cell networks. Dynamical Systems. 19 (4) (2004) 389-407. [Abstract] [PDF 418K]
• I. Stewart, M. Golubitsky and M. Pivato. Symmetry groupoids and patterns of synchrony in coupled cell networks. SIAM J. Appl. Dynam. Sys. 2 (4) (2003) 609-646. [Abstract] [PDF 2.3M]
• M. Golubitsky and I. Stewart. Patterns of oscillation in coupled cell systems. In: Geometry, Dynamics, and Mechanics: 60th Birthday Volume for J.E. Marsden. (P. Holmes, P. Newton and A. Weinstein, eds.) Springer-Verlag, 2002, 243-286. [Abstract] [PDF 2.6M]
• P.L. Buono and M. Golubitsky. Models of central pattern generators for quadruped locomotion: I. primary gaits. J. Math. Biol. 42 (4) (2001) 291-326. [Abstract] [PDF 514K]
• P.L. Buono, M. Golubitsky and A. Palacios. Heteroclinic cycles in rings of coupled cells. Physica D. 143 (2000) 74-108. [Abstract] [PDF 962K]
• M. Golubitsky and I. Stewart. Symmetry and pattern formation in coupled cell networks. In: Pattern Formation in Continuous and Coupled Systems. (M. Golubitsky, D. Luss and S.H. Strogatz, eds.) IMA Volumes in Mathematics and its Applications 115 Springer, New York, 1999, 65-82. [Abstract] [PDF 952K]
• M. Golubitsky, I. Stewart, P.L. Buono and J.J. Collins. Symmetry in locomotor central pattern generators and animal gaits. Nature. 401 (1999) 693-695. [Abstract] [PDF 153K]
• M. Golubitsky, I. Stewart, P.L. Buono and J.J. Collins. A modular network for legged locomotion. Physica D. 115 (1998) 56-72. [Abstract] [PDF 1.1M]
• D. Gillis and M. Golubitsky. Patterns in square arrays of coupled cells. JMAA. 208 (1997) 487-509. [Abstract] [PDF 462K]
• B. Dionne, M. Golubitsky and I. Stewart. Coupled cells with internal symmetry Part I: wreath products. Nonlinearity. 9 (1996) 559-574. [Abstract] [PDF 216K]
• B. Dionne, M. Golubitsky and I. Stewart. Coupled cells with internal symmetry Part II: direct products. Nonlinearity. 9 (1996) 575-599. [Abstract] [PDF 235K]
• M. Golubitsky, I. Stewart and B. Dionne. Coupled cells: wreath products and direct products. In: Dynamics, Bifurcation and Symmetry. (P. Chossat, ed.) NATO ARW Series, Kluwer, Amsterdam, 1994, 127-138. [Abstract] [PDF 108K]
• I.R. Epstein and M. Golubitsky. Symmetric patterns in linear arrays of coupled cells. Chaos. 3 (1) (1993) 1-5. [Abstract] [PDF 332K]
• D.G. Aronson, M. Golubitsky and M. Krupa. Large arrays of Josephson junctions and iterates of maps with S_n symmetry. Nonlinearity. 4 (1991) 861-902. [Abstract] [PDF 2.0M]
• D.G. Aronson, M. Golubitsky and J. Mallet-Paret. Ponies on a merry-go-round in large arrays of Josephson junctions. Nonlinearity. 4 (1991) 903-910. [Abstract] [PDF 365K]
• M. Golubitsky, I.N. Stewart and D.G. Schaeffer. Singularities and Groups in Bifurcation Theory: Vol. II. Applied Mathematical Sciences; Springer-Verlag. 69 (1988) [PDF 42.0M]
• M. Golubitsky and I.N. Stewart. Hopf bifurcation with dihedral group symmetry: coupled nonlinear oscillators. In: Multiparameter Bifurcation Theory. (M. Golubitsky and J. Guckenheimer, eds.) Contemporary Mathematics 56 AMS, 1986, 131-173. [Abstract] [PDF 1.8M]