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

Networks

• Z. Huang and M. Golubitsky. Classification of infinitesimal homeostasis in four-node input-output networks. J. Math. Biology. 84 (2022) 62. [Abstract] [PDF 368K]

• 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]

• YY. Wang, Z. Huang, F. Antoneli and M. Golubitsky. The structure of infinitesimal homeostasis in input-output networks. J. Math. Biol. 82 (2021) https://doi.org/10.1007/s00285-021-01614-1 [Abstract] [PDF 496K]

• 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]

• M. Golubitsky and YY. Wang. Infinitesimal homeostasis in three-node input-output networks. J. Math. Biol. (2020) 1163-1185 doi: 10.1007/s00285-019-01457-x [Abstract] [PDF 733K]

• 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]

• M. Golubitsky, Y. Zhao, YJ. Wang and Z-L. Lu. The symmetry of generalized rivalry network models determines patterns of interocular grouping in four-location binocular rivalry. J. Neurophysiology. (2019) 1989-1999. [Abstract] [PDF 786K]

• 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]