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

Periodic solutions on lattices

• M. Golubitsky, L-J. Shiau and A. Torok. Symmetry and pattern formation on the visual cortex. In: Dynamics and Bifurcation of Patterns in Dissipative Systems. (G. Danglmayer and J. Opera, eds.) Series on Nonlinear Science 12 World Scientific Publishing Co., Singapore, 2004, 3-19. [Abstract] [PDF 467K]

• D. Chillingworth and M. Golubitsky. Symmetry and pattern formation for a planar layer of nematic liquid crystal. Journal of Mathematical Physics. 44 (9) (2003) 4201-4219. [Abstract] [PDF 581K]

• M. Golubitsky and D. Chillingworth. Bifurcation and planar pattern formation for a liquid crystal. In: Conference on Bifurcations, Symmetry and Patterns. (J. Buescu, S. Castro, A. Dias and I. Labouriau, eds.) Birkhauser, Basel, 2003, 55-66. [Abstract] [PDF 650K]

• M. Golubitsky, L-J. Shiau and A. Torok. Bifurcation on the visual cortex with weakly anisotropic lateral coupling. SIAM J. Appl. Dynam. Sys. 2 (2003) 97-143. [Abstract] [PDF 10.2M]

• P.C. Bressloff, J.D. Cowan, M. Golubitsky, P.J. Thomas and M.C. Wiener. What geometric visual hallucinations tell us about the visual cortex. Neural Computation. 14 (2002) 473-491. [Abstract] [PDF 1.8M]

• P.C. Bressloff, J.D. Cowan, M. Golubitsky and P.J. Thomas. Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex. Nonlinearity. 14 (2001) 739-775. [Abstract] [PDF 998K]

• P.C. Bressloff, J.D. Cowan, M. Golubitsky, P.J. Thomas and M.C. Wiener. Geometric visual hallucinations, Euclidean symmetry, and the functional architecture of striate cortex. Phil. Trans. Royal Soc. London B. 356 (2001) 299-330. [Abstract] [PDF 4.4M]

• C. Hou and M. Golubitsky. An example of symmetry breaking to heteroclinic cycles. J. Diff. Eqn. 133 (1) (1997) 30-48. [Abstract] [PDF 407K]

• 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]

• B. Dionne and M. Golubitsky. Planforms in two and three dimensions. ZAMP. 43 (1992) 36-62. [Abstract] [PDF 1.6M]

• J.D. Crawford, M. Golubitsky, M.G.M. Gomes, E. Knobloch and I.N. Stewart. Boundary conditions as symmetry constraints. In: Singularity Theory and Its Applications, Warwick 1989, Part II. (M. Roberts and I.N. Stewart, eds.) Lecture Notes in Math. 1463 Springer-Verlag, Heidelberg, 1991, 63-79. [Abstract] [PDF 584K]

• 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, J.W. Swift and E. Knobloch. Symmetries and pattern selection in Rayleigh-Benard convection. Physica. 10D (1984) 249-276. [Abstract] [PDF 1.7M]

• 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. The Benard problem, symmetry and the lattice of isotropy subgroups. In: Bifurcation Theory, Mechanics and Physics. (C.P. Bruter et al, eds.) D. Reidel Publishing Co., 1983, 225-256. [Abstract] [PDF 1.5M]