Marty Golubitsky

Reprint List

Department of Mathematics
The Ohio State University
Math Tower 618
231 West 18th Avenue
Columbus, OH 43210

E-MAIL: golubitsky.4@osu.edu
PHONE: 614-247-4758
FAX: 614-247-6643

I. Stewart

• M. Golubitsky and I. Stewart. Dynamics and Bifurcation in Networks: Theory and Application of Coupled Differential Equations. SIAM, 2023,

• M. Golubitsky, I. Stewart, F. Antoneli, Z. Huang and YY. Wang. Input-output networks, singularity theory, and homeostasis. In: Proceedings on the Workshop of Dynamics, Optimization, and Computation. (O. Junge, S. Ober-Blobaum, K. Padburg-Gehle,G. Froyland, and O. Schütze, eds.) Springer Nature Switzerland AG, 2021, [Abstract] [PDF 1.6M]

• P. Gandhi, M. Golubitsky, C. Postlethwaite, I. Stewart and YY. Wang. Bifurcations on fully inhomogeneous networks. SIAM J. Appl. Dynam. Sys. (2020) 366-411. [Abstract] [PDF 2.0M]

• I. Stewart and M. Golubitsky. Symmetric networks with geometric constraints as models of visual illusions. Symmetry. 11(6) (2019) 799; http://dx.doi.org/10.3390/sym11060799 [Abstract] [PDF 8.6M]

• F. Antoneli, M. Golubitsky and I. Stewart. Homeostasis in a feed forward loop gene regulatory network motif. J. Theoretical Biology. 445 (2018) 103-109; DOI:10.1016/j.jtbi.2018.02.026 [Abstract] [PDF 779K]

• M. Golubitsky and I. Stewart. Homeostasis with multiple inputs. SIAM J. Appl. Dynam. Sys. 17 (2) (2018) 1816-1832. [Abstract] [PDF 2.7M]

• 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. Reed, J. Best, M. Golubitsky, I. Stewart and H.F. Nijhout. Analysis of homeostatic mechanisms in biochemical networks. Bull. Math. Biol. 79(9) (2017) 1-24; DOI: 10.1007/s11538-017-0340-z [Abstract] [PDF 1.9M]

• 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]

• M. Golubitsky and I. Stewart. Recent advances in symmetric and network dynamics. Chaos. 25 (2015) 097612 DOI: 10.1063/1.4918595 [Abstract] [PDF 1.8M]

• M. Golubitsky and I. Stewart. Symmetry methods in mathematical biology. Sao Paulo J. Math. Sciences. 9 (2015) 1-36. [Abstract] [PDF 1.7M]

• 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, 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]

• 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. 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]

• 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]

• M. Golubitsky and I. Stewart. The Symmetry Perspective: From Equilibrium to Chaos in Phase Space and Physical Space. Birkhauser, 2002, (Translated into: Japanese)

• M. Golubitsky, E. Knobloch and I. Stewart. Target patterns and spirals in planar reaction-diffusion systems. J. Nonlinear Sci. 10 (2000) 333-354. [Abstract] [PDF 1.0M]

• 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]

• 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. Dellnitz, M. Golubitsky, A. Hohmann and I. Stewart. Spirals in scalar reaction diffusion equations. Intern. J. Bifur. & Chaos. 5 (6) (1995) 1487-1501. [Abstract] [PDF 1.4M]

• B. Dionne, M. Golubitsky, M. Silber and I. Stewart. Time-periodic spatially-periodic planforms in Euclidean equivariant systems. Phil. Trans. R. Soc. London A. 352 (1995) 125-168. [Abstract] [PDF 6.8M]

• M. Golubitsky, J. Marsden, I. Stewart and M. Dellnitz. The constrained Liapunov-Schmidt procedure and periodic orbits. Fields Institute Proceedings. 4 (1995) 81-127. [Abstract] [PDF 2.2M]

• 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]

• M. Golubitsky and I. Stewart. An algebraic criterion for symmetric Hopf bifurcation. Proc. R. Soc. London. 440 (1993) 727-732. [Abstract] [PDF 646K]

• I. Stewart and M. Golubitsky. Fearful Symmetry: Is God a Geometer?. Blackwell Publishers, Oxford, 1992, (Translated into: German, Dutch, Italian, Spanish, Japanese, Greek and Hebrew)

• A. Franci, M. Golubitsky, I. Stewart, A. Bizyaeva and N.E. Leonard. Breaking indecision in multi-agent, multi-option dynamics. SIAM J.Appl.Dynam Sys. To appear. [Abstract] [PDF 1.3M]