• 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]
• W. Duncan and M. Golubitsky. Coincidence of homeostasis and bifurcation in feedforward networks. Intern. J. Bif. Chaos. (2019) 1930037-1-29; DOI:10.1142/S0218127419300374 [Abstract] [PDF 3.5M]
• 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]
• W. Duncan, J. Best, M. Golubitsky, H.F. Nijhout and M. Reed. Homeostasis despite instability. Math. Biosci. 300 (2018) 130-137. doi: 10.1016/j.mbs.2018.03.025 [Abstract] [PDF 1.0M]
• 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, W. Hao, K-Y. Lam and Y. Lou. Dimorphism by singularity theory in a model for river ecology. Bull. Math. Biol. 79(5) (2017) 1051-1069; DOI 10.1007/s11538-017-0268-3 [Abstract] [PDF 1.3M]
• 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]
• X. Wang and M. Golubitsky. Singularity theory of fitness functions under dimorphism equivalence. J. Mathematical Biology. 73(3) (2016) 525-573 10.1007/s00285-015-0958-0 [Abstract] [PDF 1.8M]
• X. Wang. Singularity Theory of Strategy Functions Under Dimorphism Equivalence. Thesis, Department of Mathematics, The Ohio State University. (2015) [Abstract] [PDF 1.5M]
• A. Vutha and M. Golubitsky. Normal forms and unfoldings of singular strategy functions. Dynam. Games & Appl. 5 (2) (2014) 180-213. [Abstract] [PDF 1.2M]
• H.W. Broer, M. Golubitsky and G. Vegter. The geometry of resonance tongues. In: Singularity Theory. (D. Cheniot, N. Dutertre, C. Murolo, D. Trotman and A. Pichon, eds.) World Scientific Publ. Co., 2007, 327-356. [Abstract] [PDF 442K]
• H.W. Broer, M. Golubitsky and G. Vegter. The geometry of resonance tongues: a singularity theory approach. Nonlinearity. 16 (2003) 1511-1538. [Abstract] [PDF 433K]
• 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.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 D.G. Schaeffer. Singularities and Groups in Bifurcation Theory: Vol. I. Applied Mathematical Sciences, Springer-Verlag. 51 (1985) [PDF 44.8M]
• E. Buzano and M. Golubitsky. Bifurcation involving the hexagonal lattice and the planar Benard problem. Phil. Trans. Roy. Soc. London. A308 (1983) 617-667. [PDF 5.5M]
• E. Buzano and M. Golubitsky. Bifurcation involving the hexagonal lattice. Proc. Symp. Pure Math. 40 (1983) 203-210. [PDF 489K]
• M. Golubitsky and J. Marsden. The Morse lemma in infinite dimensions via singularity theory. SIAM J. Math. Anal. 14 (1983) 1037-1044. [Abstract] [PDF 908K]
• M. Golubitsky and D. Schaeffer. Bifurcation with O(3) symmetry including applications to the Benard problem. Commun. Pure & Appl. Math. 35 (1982) 81-111. [PDF 1.2M]
• M. Golubitsky, B.L. Keyfitz and D. Schaeffer. A singularity theory analysis of the thermal chainbranching model. Commun. Pure & Appl. Math. 34 (1981) 433-463. [PDF 7.6M]
• M. Golubitsky and W.F. Langford. Classification and unfoldings of degenerate Hopf bifurcation. J. Diff. Eqns. 41 (1981) 375-415. [Abstract] [PDF 1.7M]
• D. Schaeffer and M. Golubitsky. Bifurcation analysis near a double eigenvalue of a model chemical reaction. Arch. Rational Mech. & Anal. 75 (1981) 315-347. [Abstract] [PDF 1.2M]
• M. Golubitsky and B.L. Keyfitz. A qualitative study of the steady-state solutions for a continuous flow stirred tank chemical reactor. SIAM J. Math. Anal. 11 (1980) 316-339. [Abstract] [PDF 1.9M]
• M. Golubitsky and D. Schaeffer. A qualitative approach to steady state bifurcation theory. In: New Approaches to Nonlinear Problems in Dynamics. SIAM, 1980, 43-52, 257-270, 433-436.
• M. Golubitsky and D. Schaeffer. A singularity theory approach to steady state bifurcation theory. In: Nonlinear Partial Differential Equations and Applied Science. Dekker, 1980, 229-254. [PDF 995K]
• M. Golubitsky and D. Schaeffer. A theory for imperfect bifurcation via singularity theory. Commun. Pure and Appl. Math. 32 (1979) 1-77. [PDF 4.1M]
• M. Golubitsky and D. Schaeffer. Imperfect bifurcation in the presence of symmetry. Commun. Math. Phys. 67 (1979) 205-232. [PDF 2.6M]
• M. Golubitsky and D. Schaeffer. An analysis of imperfect bifurcation. Annals of New York Acad. of Sci. 316 (1979) 127-133. [PDF 231K]
• D. Schaeffer and M. Golubitsky. Boundary conditions and mode jumping in the buckling of a rectangular plate. Commun. Math. Phys. 69 (1979) 209-236. [Abstract] [PDF 1.4M]
• M. Golubitsky. An introduction to catastrophe theory and its applications. SIAM Review. 20 (2) (1978) 352-387. [PDF 3.8M]
• M. Golubitsky and V. Guillemin. Stable Mappings and Their Singularities. Graduate Texts in Mathematics; Springer-Verlag. 14 (1973) [PDF 24.9M]