| 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 |
0.33 |
|
| 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 |
0.396 |
|
| 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 |
0.62 |
|
| 2019 |
Stewart I, Golubitsky M. Symmetric Networks with Geometric Constraints as Models of Visual Illusions Symmetry. 11: 799. DOI: 10.3390/Sym11060799 |
0.386 |
|
| 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 |
0.353 |
|
| 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 |
0.308 |
|
| 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 |
0.392 |
|
| 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 |
0.345 |
|
| 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 |
0.483 |
|
| 2016 |
Golubitsky M, Stewart I. Homeostasis, singularities, and networks. Journal of Mathematical Biology. PMID 27255135 DOI: 10.1007/S00285-016-1024-2 |
0.425 |
|
| 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 |
0.362 |
|
| 2016 |
Golubitsky M, Stewart I. Coordinate changes for network dynamics Dynamical Systems. 32: 80-116. DOI: 10.1080/14689367.2016.1235136 |
0.354 |
|
| 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 |
0.392 |
|
| 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 |
0.462 |
|
| 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 |
0.355 |
|
| 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 |
0.364 |
|
| 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 |
0.327 |
|
| 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 |
0.642 |
|
| 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 |
0.66 |
|
| 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 |
0.628 |
|
| 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 |
0.406 |
|
| 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 |
0.301 |
|
| 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 |
0.647 |
|
| 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 |
0.384 |
|
| 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 |
0.429 |
|
| 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 |
0.443 |
|
| 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 |
0.332 |
|
| 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 |
0.352 |
|
| 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 |
0.449 |
|
| 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 |
0.465 |
|
| 2006 |
Leite MdCA, Golubitsky M. Homogeneous three-cell networks Nonlinearity. 19: 2313-2363. DOI: 10.1088/0951-7715/19/10/004 |
0.411 |
|
| 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 |
0.444 |
|
| 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 |
0.432 |
|
| 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 |
0.657 |
|
| 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 |
0.656 |
|
| 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 |
0.44 |
|
| 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 |
0.461 |
|
| 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 |
0.425 |
|
| 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 |
0.301 |
|
| 2003 |
Broer HW, Golubitsky M, Vegter G. The geometry of resonance tongues: a singularity theory approach Nonlinearity. 16: 1511-1538. DOI: 10.1088/0951-7715/16/4/319 |
0.303 |
|
| 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 |
0.356 |
|
| 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 |
0.315 |
|
| 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 |
0.47 |
|
| 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 |
0.416 |
|
| 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 |
0.35 |
|
| 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 |
0.422 |
|
| 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 |
0.314 |
|
| 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 |
0.407 |
|
| 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 |
0.421 |
|
| 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 |
0.304 |
|
| 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 |
0.371 |
|
| 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 |
0.361 |
|
| 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 |
0.394 |
|
| 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 |
0.372 |
|
| 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 |
0.352 |
|
| 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 |
0.365 |
|
| 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 |
0.427 |
|
| 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 |
0.398 |
|
| 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 |
0.34 |
|
| 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 |
0.406 |
|
| 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 |
0.352 |
|
| 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 |
0.307 |
|
| 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 |
0.423 |
|
| 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 |
0.353 |
|
| 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 |
0.313 |
|
| 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 |
0.342 |
|
| 1986 |
Golubitsky M, Stewart I. Symmetry and Stability in Taylor-Couette Flow Siam Journal On Mathematical Analysis. 17: 249-288. DOI: 10.1137/0517023 |
0.359 |
|
| 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 |
0.387 |
|
| 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 |
0.339 |
|
| 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 |
0.342 |
|
| 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 |
0.402 |
|
| 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 |
0.329 |
|
| 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 |
0.363 |
|
| 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 |
0.308 |
|
| 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 |
0.358 |
|
| 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 |
0.311 |
|
| 1979 |
Golubitsky M, Schaeffer D. Imperfect bifurcation in the presence of symmetry Communications in Mathematical Physics. 67: 205-232. DOI: 10.1007/Bf01238845 |
0.315 |
|
| 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 |
0.322 |
|
| 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 |
0.363 |
|
| 1976 |
Golubitsky M, Tischler D. An example of moduli for singular symplectic forms Inventiones Mathematicae. 38: 219-225. DOI: 10.1007/Bf01403129 |
0.301 |
|
| 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 |
0.307 |
|
| 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 |
0.312 |
|
| 1972 |
Golubitsky M. Primitive actions and maximal subgroups of Lie groups Journal of Differential Geometry. 7: 175-191. DOI: 10.4310/Jdg/1214430826 |
0.34 |
|
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