Martin Golubitsky - Publications

Affiliations: 
University of Houston, Houston, TX, United States 
Area:
Mathematics

89 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Golubitsky M, Wang Y. Infinitesimal homeostasis in three-node input-output networks. Journal of Mathematical Biology. PMID 31919651 DOI: 10.1007/S00285-019-01457-X  0.332
2020 Gandhi P, Golubitsky M, Postlethwaite C, Stewart I, Wang Y. Bifurcations on Fully Inhomogeneous Networks Siam Journal On Applied Dynamical Systems. 19: 366-411. DOI: 10.1137/18M1230736  0.398
2019 Golubitsky M, Zhao Y, Wang Y, Lu ZL. The Symmetry of Generalized Rivalry Network Models Determines Patterns of Interocular Grouping in Four-Location Binocular Rivalry. Journal of Neurophysiology. PMID 31533006 DOI: 10.1152/Jn.00438.2019  0.652
2019 Stewart I, Golubitsky M. Symmetric Networks with Geometric Constraints as Models of Visual Illusions Symmetry. 11: 799. DOI: 10.3390/Sym11060799  0.393
2019 Duncan W, Golubitsky M. Coincidence of Homeostasis and Bifurcation in Feedforward Networks International Journal of Bifurcation and Chaos. 29: 1930037. DOI: 10.1142/S0218127419300374  0.354
2018 Duncan W, Best J, Golubitsky M, Nijhout HF, Reed M. Homeostasis Despite Instability. Mathematical Biosciences. PMID 29596852 DOI: 10.1016/J.Mbs.2018.03.025  0.307
2018 Antoneli F, Golubitsky M, Stewart I. Homeostasis in a Feed Forward Loop Gene Regulatory Motif. Journal of Theoretical Biology. PMID 29477558 DOI: 10.1016/J.Jtbi.2018.02.026  0.395
2017 Reed M, Best J, Golubitsky M, Stewart I, Nijhout HF. Analysis of Homeostatic Mechanisms in Biochemical Networks. Bulletin of Mathematical Biology. PMID 28884446 DOI: 10.1007/S11538-017-0340-Z  0.349
2017 Golubitsky M, Hao W, Lam KY, Lou Y. Dimorphism by Singularity Theory in a Model for River Ecology. Bulletin of Mathematical Biology. PMID 28357615 DOI: 10.1007/S11538-017-0268-3  0.309
2016 Golubitsky M, Stewart I. Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. Chaos (Woodbury, N.Y.). 26: 094803. PMID 27781462 DOI: 10.1063/1.4953664  0.492
2016 Golubitsky M, Stewart I. Homeostasis, singularities, and networks. Journal of Mathematical Biology. PMID 27255135 DOI: 10.1007/S00285-016-1024-2  0.429
2016 Wang X, Golubitsky M. Singularity theory of fitness functions under dimorphism equivalence. Journal of Mathematical Biology. PMID 26733311 DOI: 10.1007/S00285-015-0958-0  0.36
2016 Golubitsky M, Stewart I. Coordinate changes for network dynamics Dynamical Systems. 32: 80-116. DOI: 10.1080/14689367.2016.1235136  0.358
2016 Golubitsky M, Matamba Messi L, Spardy LE. Symmetry types and phase-shift synchrony in networks Physica D: Nonlinear Phenomena. 320: 9-18. DOI: 10.1016/J.Physd.2015.12.005  0.396
2015 Golubitsky M, Stewart I. Recent advances in symmetric and network dynamics. Chaos (Woodbury, N.Y.). 25: 097612. PMID 26428565 DOI: 10.1063/1.4918595  0.467
2015 Golubitsky M, Stewart I. Symmetry methods in mathematical biology SãO Paulo Journal of Mathematical Sciences. 9: 1-36. DOI: 10.1007/S40863-015-0001-9  0.354
2014 Diekman CO, Golubitsky M. Network symmetry and binocular rivalry experiments. Journal of Mathematical Neuroscience. 4: 12. PMID 24872926 DOI: 10.1186/2190-8567-4-12  0.371
2014 Vutha A, Golubitsky M. Normal Forms and Unfoldings of Singular Strategy Functions Dynamic Games and Applications. 5: 180-213. DOI: 10.1007/S13235-014-0116-0  0.325
2013 Diekman CO, Golubitsky M, Wang Y. Derived patterns in binocular rivalry networks. Journal of Mathematical Neuroscience. 3: 6. PMID 23657206 DOI: 10.1186/2190-8567-3-6  0.673
2012 Golubitsky M, Postlethwaite C. Feed-forward networks, center manifolds, and forcing Discrete and Continuous Dynamical Systems. 32: 2913-2935. DOI: 10.3934/Dcds.2012.32.2913  0.347
2012 Diekman C, Golubitsky M, McMillen T, Wang Y. Reduction and Dynamics of a Generalized Rivalry Network with Two Learned Patterns Siam Journal On Applied Dynamical Systems. 11: 1270-1309. DOI: 10.1137/110858392  0.689
2012 Golubitsky M, Romano D, Wang Y. Network periodic solutions: Patterns of phase-shift synchrony Nonlinearity. 25: 1045-1074. DOI: 10.1088/0951-7715/25/4/1045  0.659
2011 Stewart I, Golubitsky M. Synchrony-Breaking Bifurcation at a Simple Real Eigenvalue for Regular Networks 1: 1-Dimensional Cells Siam Journal On Applied Dynamical Systems. 10: 1404-1442. DOI: 10.1137/130917636  0.41
2010 Filipski N, Golubitsky M. The Abelian Hopf H mod K Theorem Siam Journal On Applied Dynamical Systems. 9: 283-291. DOI: 10.1137/090756582  0.3
2010 Golubitsky M, Romano D, Wang Y. Network periodic solutions: Full oscillation and rigid synchrony Nonlinearity. 23: 3227-3243. DOI: 10.1088/0951-7715/23/12/012  0.676
2009 Golubitsky M, Lauterbach R. Bifurcations from synchrony in homogeneous networks: Linear theory Siam Journal On Applied Dynamical Systems. 8: 40-75. DOI: 10.1137/070704873  0.392
2009 Aguiar MA, Dias APS, Golubitsky M, Leite MdCA. Bifurcations from regular quotient networks: A first insight Physica D: Nonlinear Phenomena. 238: 137-155. DOI: 10.1016/J.Physd.2008.10.006  0.437
2007 GOLUBITSKY M, KRUPA M. STABILITY COMPUTATIONS FOR NILPOTENT HOPF BIFURCATIONS IN COUPLED CELL SYSTEMS International Journal of Bifurcation and Chaos. 17: 2595-2603. DOI: 10.1142/S0218127407018658  0.445
2007 Golubitsky M, Shiau L, Stewart I. Spatiotemporal Symmetries in the Disynaptic Canal-Neck Projection Siam Journal On Applied Mathematics. 67: 1396-1417. DOI: 10.1137/060667773  0.337
2006 Pinto CM, Golubitsky M. Central pattern generators for bipedal locomotion. Journal of Mathematical Biology. 53: 474-89. PMID 16874500 DOI: 10.1007/S00285-006-0021-2  0.353
2006 Elmhirst T, Golubitsky M. Nilpotent Hopf Bifurcations in Coupled Cell Systems Siam Journal On Applied Dynamical Systems. 5: 205-251. DOI: 10.1137/050635559  0.454
2006 Golubitsky M, Stewart I. Nonlinear dynamics of networks: the groupoid formalism Bulletin of the American Mathematical Society. 43: 305-365. DOI: 10.1090/S0273-0979-06-01108-6  0.472
2006 Leite MdCA, Golubitsky M. Homogeneous three-cell networks Nonlinearity. 19: 2313-2363. DOI: 10.1088/0951-7715/19/10/004  0.419
2006 Golubitsky M, Josić K, Shea-Brown E. Winding numbers and average frequencies in phase oscillator networks Journal of Nonlinear Science. 16: 201-231. DOI: 10.1007/S00332-005-0696-3  0.452
2005 Golubitsky M, Stewart I, Török A. Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows Siam Journal On Applied Dynamical Systems. 4: 78-100. DOI: 10.1137/040612634  0.441
2005 Antoneli F, Dias APS, Golubitsky M, Wang Y. Patterns of synchrony in lattice dynamical systems Nonlinearity. 18: 2193-2209. DOI: 10.1088/0951-7715/18/5/016  0.684
2004 Wang Y, Golubitsky M. Two-colour patterns of synchrony in lattice dynamical systems Nonlinearity. 18: 631-657. DOI: 10.1088/0951-7715/18/2/010  0.684
2004 Golubitsky M, Pivato M, Stewart I. Interior symmetry and local bifurcation in coupled cell networks Dynamical Systems. 19: 389-407. DOI: 10.1080/14689360512331318006  0.446
2004 Golubitsky M, Nicol M, Stewart I. Some Curious Phenomena in Coupled Cell Networks Journal of Nonlinear Science. 14: 207-236. DOI: 10.1007/S00332-003-0593-6  0.467
2003 Stewart I, Golubitsky M, Pivato M. Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks Siam Journal On Applied Dynamical Systems. 2: 609-646. DOI: 10.1137/S1111111103419896  0.432
2003 Golubitsky M, Shiau LJ, Török A. Bifurcation on the Visual Cortex with Weakly Anisotropic Lateral Coupling Siam Journal On Applied Dynamical Systems. 2: 97-143. DOI: 10.1137/S1111111102409882  0.304
2003 Chillingworth D, Golubitsky M. Symmetry and pattern formation for a planar layer of nematic liquid crystal Journal of Mathematical Physics. 44: 4201. DOI: 10.1063/1.1598620  0.357
2002 Bressloff PC, Cowan JD, Golubitsky M, Thomas PJ, Wiener MC. What geometric visual hallucinations tell us about the visual cortex. Neural Computation. 14: 473-91. PMID 11860679 DOI: 10.1162/089976602317250861  0.316
2001 Buono PL, Golubitsky M. Models of central pattern generators for quadruped locomotion. I. Primary gaits. Journal of Mathematical Biology. 42: 291-326. PMID 11374122 DOI: 10.1007/S002850000058  0.478
2001 Bressloff PC, Cowan JD, Golubitsky M, Thomas PJ, Wiener MC. Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences. 356: 299-330. PMID 11316482 DOI: 10.1098/Rstb.2000.0769  0.392
2001 Bressloff PC, Cowan JD, Golubitsky M, Thomas PJ. Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex Nonlinearity. 14: 739-775. DOI: 10.1088/0951-7715/14/4/305  0.415
2000 Barkley D, Tuckerman LS, Golubitsky M. Bifurcation theory for three-dimensional flow in the wake of a circular cylinder Physical Review E. 61: 5247-5252. PMID 11031572 DOI: 10.1103/Physreve.61.5247  0.349
2000 Buono P, Golubitsky M, Palacios A. Heteroclinic cycles in rings of coupled cells Physica D: Nonlinear Phenomena. 143: 74-108. DOI: 10.1016/S0167-2789(00)00097-X  0.423
2000 Golubitsky M, LeBlanc VG, Melbourne I. Hopf Bifurcation from Rotating Waves and Patterns in Physical Space Journal of Nonlinear Science. 10: 69-101. DOI: 10.1007/S003329910004  0.312
1999 Golubitsky M, Stewart I, Buono PL, Collins JJ. Symmetry in locomotor central pattern generators and animal gaits. Nature. 401: 693-5. PMID 10537106 DOI: 10.1038/44416  0.412
1998 Golubitsky M, Stewart I, Buono P, Collins J. A modular network for legged locomotion Physica D: Nonlinear Phenomena. 115: 56-72. DOI: 10.1016/S0167-2789(97)00222-4  0.429
1997 Gillis D, Golubitsky M. Patterns in Square Arrays of Coupled Cells Journal of Mathematical Analysis and Applications. 208: 487-509. DOI: 10.1006/Jmaa.1997.5347  0.34
1997 Hou C, Golubitsky M. An Example of Symmetry Breaking to Heteroclinic Cycles Journal of Differential Equations. 133: 30-48. DOI: 10.1006/Jdeq.1996.3201  0.302
1996 Dionne B, Golubitsky M, Stewart I. Coupled cells with internal symmetry: I. Wreath products Nonlinearity. 9: 559-574. DOI: 10.1088/0951-7715/9/2/016  0.37
1995 DELLNITZ M, GOLUBITSKY M, HOHMANN A, STEWART I. SPIRALS IN SCALAR REACTION–DIFFUSION EQUATIONS International Journal of Bifurcation and Chaos. 5: 1487-1501. DOI: 10.1142/S0218127495001149  0.362
1995 Dionne B, Golubitsky M, Silber M, Stewart I. Time-periodic spatially periodic planforms in Euclidean equivariant partial differential equations Philosophical Transactions of the Royal Society A. 352: 125-168. DOI: 10.1098/Rsta.1995.0061  0.395
1993 Epstein IR, Golubitsky M. Symmetric patterns in linear arrays of coupled cells. Chaos (Woodbury, N.Y.). 3: 1-5. PMID 12780008 DOI: 10.1063/1.165974  0.374
1993 Field M, Golubitsky M, Friedberg R. Symmetry in Chaos: A Search for Pattern in Mathematics, Art, and Nature American Journal of Physics. 61: 959-959. DOI: 10.1119/1.17381  0.354
1993 Golubitsky M, Stewart IN. An algebraic criterion for symmetric Hopf bifurcation Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 440: 727-732. DOI: 10.1098/Rspa.1993.0044  0.363
1993 Barany E, Dellnitz M, Golubitsky M. Detecting the symmetry of attractors Physica D: Nonlinear Phenomena. 67: 66-87. DOI: 10.1016/0167-2789(93)90198-A  0.426
1993 Melbourne I, Dellnitz M, Golubitsky M. The structure of symmetric attractors Archive For Rational Mechanics and Analysis. 123: 75-98. DOI: 10.1007/Bf00386369  0.4
1992 Farr WW, Golubitsky M. Rotating Chemical Waves in the Gray–Scott Model Siam Journal On Applied Mathematics. 52: 181-221. DOI: 10.1137/0152011  0.337
1992 Barany E, Golubitsky M, Turski J. Bifurcations with local gauge symmetries in the Ginzburg-Landau equations Physica D: Nonlinear Phenomena. 56: 36-56. DOI: 10.1016/0167-2789(92)90049-S  0.407
1992 Dionne B, Golubitsky M. Planforms in two and three dimensions Zamp Zeitschrift F�R Angewandte Mathematik Und Physik. 43: 36-62. DOI: 10.1007/Bf00944740  0.367
1991 Aronson DG, Golubitsky M, Mallet-Paret J. Ponies on a merry-go-round in large arrays of Josephson junctions Nonlinearity. 4: 903-910. DOI: 10.1088/0951-7715/4/3/014  0.354
1991 Aronson DG, Golubitsky M, Krupa M. Coupled arrays of Josephson junctions and bifurcation of maps with SNsymmetry Nonlinearity. 4: 861-902. DOI: 10.1088/0951-7715/4/3/013  0.422
1991 Field M, Golubitsky M, Stewart I. Bifurcations on hemispheres Journal of Nonlinear Science. 1: 201-223. DOI: 10.1007/Bf01209066  0.306
1990 van Gils SA, Golubitsky M. A torus bifurcation theorem with symmetry Journal of Dynamics and Differential Equations. 2: 133-162. DOI: 10.1007/Bf01057416  0.42
1989 Melbourne I, Chossat P, Golubitsky M. Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 113: 315-345. DOI: 10.1017/S0308210500024173  0.397
1988 Chossat P, Golubitsky M. Iterates of Maps with Symmetry Siam Journal On Mathematical Analysis. 19: 1259-1270. DOI: 10.1137/0519092  0.35
1988 Crawford JD, Golubitsky M, Langford WF. Modulated rotating waves in O(2) mode interactions Dynamics and Stability of Systems. 3: 159-175. DOI: 10.1080/02681118808806054  0.31
1988 Chossat P, Golubitsky M. Symmetry-increasing bifurcation of chaotic attractors Physica D: Nonlinear Phenomena. 32: 423-436. DOI: 10.1016/0167-2789(88)90066-8  0.409
1987 Golubitsky M, Stewart I, Marsden J. Generic bifurcation of Hamiltonian systems with symmetry Physica D: Nonlinear Phenomena. 24: 391-405. DOI: 10.1016/0167-2789(87)90087-X  0.341
1986 Golubitsky M, Stewart I. Symmetry and Stability in Taylor-Couette Flow Siam Journal On Mathematical Analysis. 17: 249-288. DOI: 10.1137/0517023  0.357
1986 Chossat P, Golubitsky M, Lee Keyfitz B. Hopf-Hopf mode interactions with O(2) symmetry Dynamics and Stability of Systems. 1: 255-292. DOI: 10.1080/02681118608806019  0.385
1985 Golubitsky M, Stewart I. Hopf Bifurcation in the presence of symmetry Archive For Rational Mechanics and Analysis. 87: 107-165. DOI: 10.1007/Bf00280698  0.336
1984 Ihrig E, Golubitsky M. Pattern selection with O(3) symmetry Physica D: Nonlinear Phenomena. 13: 1-33. DOI: 10.1016/0167-2789(84)90268-9  0.341
1984 Golubitsky M, Swift JW, Knobloch E. Symmetries and pattern selection in Rayleigh-Bénard convection Physica D: Nonlinear Phenomena. 10: 249-276. DOI: 10.1016/0167-2789(84)90179-9  0.401
1983 Golubitsky M, Marsden J. The Morse Lemma in Infinite Dimensions via Singularity Theory Siam Journal On Mathematical Analysis. 14: 1037-1044. DOI: 10.1137/0514083  0.326
1983 Buzano E, Golubitsky M. Bifurcation on the hexagonal lattice and the planar Bénard problem Philosophical Transactions of the Royal Society A. 308: 617-667. DOI: 10.1098/Rsta.1983.0018  0.36
1982 Golubitsky M, Schaeffer D. Bifurcations withO(3) symmetry including applications to the Bénard problem Communications On Pure and Applied Mathematics. 35: 81-111. DOI: 10.1002/Cpa.3160350105  0.305
1981 Golubitsky M, Langford WF. Classification and unfoldings of degenerate Hopf bifurcations Journal of Differential Equations. 41: 375-415. DOI: 10.1016/0022-0396(81)90045-0  0.356
1980 Golubitsky M, Keyfitz BL. A Qualitative Study of the Steady-State Solutions for a Continuous Flow Stirred Tank Chemical Reactor Siam Journal On Mathematical Analysis. 11: 316-339. DOI: 10.1137/0511030  0.31
1979 Golubitsky M, Schaeffer D. Imperfect bifurcation in the presence of symmetry Communications in Mathematical Physics. 67: 205-232. DOI: 10.1007/Bf01238845  0.314
1979 Schaeffer D, Golubitsky M. Boundary conditions and mode jumping in the buckling of a rectangular plate Communications in Mathematical Physics. 69: 209-236. DOI: 10.1007/Bf01197444  0.319
1979 Golubitsky M, Schaeffer D. A theory for imperfect bifurcation via singularity theory Communications On Pure and Applied Mathematics. 32: 21-98. DOI: 10.1002/Cpa.3160320103  0.36
1975 Golubitsky M, Keeler EB, Rothschild M. Convergence of the age structure: applications of the projective metric. Theoretical Population Biology. 7: 84-93. PMID 1129718 DOI: 10.1016/0040-5809(75)90007-6  0.305
1975 Golubitsky M, Schaeffer DG. Stability of shock waves for a single conservation law Advances in Mathematics. 16: 65-71. DOI: 10.1016/0001-8708(75)90100-0  0.31
1972 Golubitsky M. Primitive actions and maximal subgroups of Lie groups Journal of Differential Geometry. 7: 175-191. DOI: 10.4310/Jdg/1214430826  0.337
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