#189,415

Most Influential Person

American mathematician

According to Wikipedia, Martin Aaron Golubitsky is an American Distinguished professor of mathematics at Ohio State University and the former director of the Mathematical Biosciences Institute. Biography Education Marty Golubitsky was born on April 5, 1945 in Philadelphia, Pennsylvania. He graduated with bachelor's degree in 1966 from the University of Pennsylvania and the same year got his master's there as well. He obtained his Ph.D. from Massachusetts Institute of Technology in 1970 where his advisor was Victor Guillemin.

- Singularities and groups in bifurcation theory (2928)
- Stable mappings and their singularities (1706)
- Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex. (374)
- Nonlinear dynamics of networks: the groupoid formalism (349)
- Symmetry in locomotor central pattern generators and animal gaits (347)
- Singularities and Groups in Bifurcation Theory: Volume I (340)
- The Symmetry Perspective: From Equilibrium to Chaos in Phase Space and Physical Space (292)
- A Theory for Imperfect Bifurcation via Singularity Theory. (284)
- Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks (280)
- The Symmetry Perspective (268)
- Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows (243)
- A modular network for legged locomotion (220)
- Hopf Bifurcation in the presence of symmetry (208)
- Classification and Unfoldings of Degenerate Hopf Bifurcations (204)
- What Geometric Visual Hallucinations Tell Us about the Visual Cortex (203)
- Fearful Symmetry: Is God a Geometer? (191)
- Symmetry-increasing bifurcation of chaotic attractors (150)
- Symmetries and pattern selection in Rayleigh-Bénard convection (145)
- Models of central pattern generators for quadruped locomotion I. Primary gaits (139)
- Imperfect bifurcation in the presence of symmetry (128)
- Boundary conditions and mode jumping in the buckling of a rectangular plate (114)
- Pattern selection with O(3) symmetry (110)
- Central pattern generators for bipedal locomotion (110)
- Primary instabilities and bicriticality in flow between counter-rotating cylinders (101)
- Symmetry and stability in Taylor Couette flow (98)
- Some Curious Phenomena in Coupled Cell Networks (96)
- Symmetry in chaos (94)
- Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry (90)
- Bifurcation on the hexagonal lattice and the planar Bénard problem (85)
- A QUALITATIVE STUDY OF THE STEADY-STATE SOLUTIONS FOR A CONTINUOUS FLOW STIRRED TANK CHEMICAL REACTOR* (84)
- Hopf bifurcation with dihedral group symmetry - Coupled nonlinear oscillators (82)
- Generic bifurcation of Hamiltonian systems with symmetry (82)
- Models of central pattern generators for quadruped locomotion. I. Primary gaits. (81)
- Coupled arrays of Josephson junctions and bifurcation of maps with SN symmetry (77)
- The structure of symmetric attractors (77)
- Pattern formation and bistability in flow between counterrotating cylinders (76)
- Ponies on a merry-go-round in large arrays of Josephson junctions (73)
- Pattern Formation in Continuous and Coupled Systems (73)
- An Introduction to Catastrophe Theory and Its Applications (71)
- The Hopf Bifurcation (67)
- Meandering of the Spiral Tip: An Alternative Approach (66)
- Convergence of the age structure: applications of the projective metric. (66)
- An unfolding theory approach to bursting in fast–slow systems (65)
- Coupled cells with internal symmetry: I. Wreath products (63)
- Bifurcation analysis near a double eigenvalue of a model chemical reaction (63)
- Planforms in two and three dimensions (62)
- The geometry of resonance tongues: a singularity theory approach (58)
- The Recognition Problem (58)
- Multiparameter Bifurcation Theory (56)
- Scalar and pseudoscalar bifurcations motivated by pattern formation on the visual cortex (55)
- Iterates of maps with symmetry (54)
- Time-reversibility and particle sedimentation (54)
- Interior symmetry and local bifurcation in coupled cell networks (54)
- The constrained Liapunov-Schmidt procedure and periodic orbits (53)
- Homogeneous three-cell networks (51)
- A classification of degenerate Hopf bifurcations with O(2) symmetry (50)
- Hopf Bifurcation from Rotating Waves and Patterns in Physical Space (50)
- The Informational City: Economic Restructuring and Urban Development Reprint Edition (49)
- Symmetry of attractors and the Karhunen-Loegve decomposition (48)
- Cycling chaos (48)
- Bifurcations with O(3) symmetry including applications to the Bénard problem (47)
- Heteroclinic cycles in rings of coupled cells (45)
- Bifurcations from regular quotient networks: A first insight (45)
- Primitive actions and maximal subgroups of Lie groups (41)
- Two-colour patterns of synchrony in lattice dynamical systems (40)
- Patterns of Oscillation in Coupled Cell Systems (40)
- Detecting the symmetry of attractors (40)
- Bifurcations from Synchrony in Homogeneous Networks: Linear Theory (39)
- Nilpotent Hopf Bifurcations in Coupled Cell Systems (39)
- Bifurcation problems with hidden symmetries (35)
- Target Patterns and Spirals in Planar Reaction-Diffusion Systems (34)
- Coupled cells with internal symmetry : II . Direct products (33)
- Bifurcation and Symmetry (33)
- Order in Disorder. (Book Reviews: Symmetry in Chaos. A Search for Pattern in Mathematics, Art and Nature.) (32)
- Hopf Bifurcation in the presence of symmetry (31)
- The Bénard Problem, Symmetry and the Lattice of Isotropy Subgroups (30)
- The Morse Lemma in Infinite Dimensions via Singularity Theory (29)
- Symmetric patterns in linear arrays of coupled cells. (28)
- Winding Numbers and Average Frequencies in Phase Oscillator Networks (28)
- Homeostasis, singularities, and networks (27)
- Contact equivalence for Lagrangian submanifolds (27)
- Hopf-Hopf mode interactions with O(2) symmetry (26)
- Recent advances in symmetric and network dynamics. (26)
- Mechanisms of Symmetry Creation (26)
- Patterns of synchrony in lattice dynamical systems (25)
- Coupled Cells: Wreath Products and Direct Products (25)
- Symmetry and Pattern Formation in Coupled Cell Networks (24)
- Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics. (24)
- A singularity theory analysis of a thermal‐chainbranching model for the explosion peninsula (23)
- Network periodic solutions: patterns of phase-shift synchrony (23)
- Bifurcations on hemispheres (23)
- An example of moduli for singular symplectic forms (22)
- Bifurcation on the Visual Cortex with Weakly Anisotropic Lateral Coupling (22)
- The Feed-Forward Chain as a Filter-Amplifier Motif (21)
- SYNCHRONY VERSUS SYMMETRY IN COUPLED CELLS (20)
- Feed-forward networks, center manifolds, and forcing (20)
- Network periodic solutions: full oscillation and rigid synchrony (19)
- Analysis of Homeostatic Mechanisms in Biochemical Networks (19)
- SYMMETRY, GENERIC BIFURCATIONS, AND MODE INTERACTION IN NONLINEAR RAILWAY DYNAMICS (19)
- SPIRALS IN SCALAR REACTION–DIFFUSION EQUATIONS (19)
- Primitive subalgebras of exceptional Lie algebras (19)
- Sensitive signal detection using a feed-forward oscillator network. (18)
- Derived Patterns in Binocular Rivalry Networks (18)
- Reduction and Dynamics of a Generalized Rivalry Network with Two Learned Patterns (18)
- Spatiotemporal Symmetries in the Disynaptic Canal-Neck Projection (17)
- Synchrony-Breaking Bifurcation at a Simple Real Eigenvalue for Regular Networks 1: 1-Dimensional Cells (17)
- Periodically Forced Hopf Bifurcation (16)
- Linear Algebra and Differential Equations Using MATLAB (16)
- Geometry of resonance tongues (16)
- Bifurcations with local gauge symmetries in the Ginzburg-Landau equations (16)
- An Example of Symmetry Breaking to Heteroclinic Cycles (15)
- The Abelian Hopf H mod K Theorem (15)
- Homeostasis in a feed forward loop gene regulatory motif. (15)
- Stability of shock waves for a single conservation law (15)
- Network Symmetry and Binocular Rivalry Experiments (14)
- A Brief Introduction to the Central Ideas of the Theory (14)
- Patterns in Square Arrays of Coupled Cells (13)
- Time-periodic spatially periodic planforms in Euclidean equivariant partial differential equations (13)
- Stability Computations for Nilpotent Hopf bifurcations in Coupled Cell Systems (13)
- An algebraic criterion for symmetric Hopf bifurcation (13)
- Symmetry detectives for SBR attractors (12)
- Modulated rotating waves in O(2) mode interactions (12)
- Homeostasis with Multiple Inputs (11)
- Normal Forms and Unfoldings of Singular Strategy Functions (11)
- On the local stability of differential forms (10)
- AN ANALYSIS OF IMPERFECT BIFURCATION * (9)
- Hopf Bifurcation with O(2) Symmetry (9)
- Patterns on growing square domains via mode interactions (9)
- The structure of infinitesimal homeostasis in input–output networks (8)
- Symmetry methods in mathematical biology (8)
- Coordinate changes for network dynamics (8)
- Pattern Formation in Continuous and Coupled Systems : A Survey Volume (8)
- Rotating chemical waves in the Gray-Scott model (8)
- Homogeneous coupled cell networks with s 3 -symmetric quotient (7)
- Infinitesimal homeostasis in three-node input–output networks (7)
- Dimorphism by Singularity Theory in a Model for River Ecology (7)
- Primitive subalgebras of exceptional Lie algebras. (7)
- Synchrony in Lattice Differential Equations (6)
- Symmetry in Chaos - A Search for Pattern in Mathematics, Art, and Nature (2. ed.) (6)
- Bifurcations on Fully Inhomogeneous Networks (6)
- Applications of the Fourier Transform (6)
- Periodic Solutions of Symmetric Hamiltonian Systems (6)
- The nonexistence of globally stable forms (6)
- SYMMETRY AND PATTERN FORMATION ON THE VISUAL CORTEX (6)
- BURSTING IN COUPLED CELL SYSTEMS (6)
- A torus bifurcation theorem with symmetry (5)
- Singularity theory of fitness functions under dimorphism equivalence (5)
- Symmetric Chaos : How and Why Mike Field and (5)
- Symmetries of periodic solutions for planar potential systems (5)
- Symmetry and pattern formation for a planar layer of nematic liquid crystal (4)
- Bifurcations in Forced Response Curves (4)
- Symmetric Networks with Geometric Constraints as Models of Visual Illusions (4)
- Two-Point Boundary Value Problems (4)
- Heteroclinic Cycles in Systems with D N Symmetry (4)
- Homeostasis despite instability. (4)
- Symmetry types and phase-shift synchrony in networks (3)
- The Dynamics of Multi-agent Multi-option Decision Making (3)
- Bifurcation and Planar Pattern Formation for a Liquid Crystal (3)
- Input-Output Networks, Singularity Theory, and Homeostasis (3)
- The Symmetry of Generalized Rivalry Network Models Determines Patterns of Interocular Grouping in Four-Location Binocular Rivalry. (3)
- Symmetry and Bifurcation in Biology (2)
- Rotation , Oscillation and Spike Numbers in Phase Oscillator Networks (2)
- Hopf Bifurcation with Symmetry (2)
- XXHOMOGENEOUS COUPLED CELL NETWORKS WITHS 3-SYMMETRIC QUOTIENTManuela (2)
- Symmetries on the edge of chaos (2)
- Introduction to Partial Differential Equations (2)
- Bifurcation and symmetry : cross influence between mathematics and applications (2)
- Steady-State Bifurcation (2)
- Genericity, Bifurcation and Symmetry (1)
- Multiparameter bifurcation theory : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 14-20, 1985, with support from the National Science Foundation (1)
- Symmetry and bifurcation in vestibular system (1)
- Review: Tim Poston and Ian Stewart, Catastrophe theory and its applications (1)
- Animal Gaits and Symmetry (1)
- Symmetry and Neuroscience (1)
- Equivariant Unfolding Theory (1)
- Bifurcation with Z 2-Symmetry (1)
- Spirals in Scalar Reaction-Di usion (1)
- Finite Difference Schemes for the Heat Equation (1)
- Classification of infinitesimal homeostasis in four-node input-output networks. (1)
- Heteroclinic Cycles in Rings of Coupled (1)
- Two Degrees of Freedom with ( Z 2 ⊕ Z 2 )-Symmetry (0)
- Classification of Singularities. Part II: The Local Ring of a Singularity (0)
- Symmetric Chaos Mike Field and (0)
- 2. Planar Symmetries (0)
- The Traction Problem for Mooney—Rivlin Material (0)
- A formula for a symmetry detective (0)
- 4. Chaos and Symmetry Creation (0)
- The Wave Equation (0)
- An Example of Moduli (0)
- Two Degrees of Freedom Without Symmetry (0)
- The Heat Equation Revisited (0)
- Symmetry and Synchrony (0)
- Equivariant Normal Forms (0)
- Time Periodicity and Spatio-Temporal Symmetry (0)
- An application of singularity theory to convection in a spherical shell (0)
- Preliminaries on Manifolds (0)
- Various Equivalent Notions of Stability (0)
- Homeostasis in Three-Node Networks (0)
- Symmetry-Breaking in Steady-State Bifurcation (0)
- Symmetry-Breaking in Hopf Bifurcation (0)
- 7. Symmetric Fractals (0)
- Partners in Crime: Math and Prime-Time TV (0)
- Convergence of Fourier Series (0)
- Steady-State Bifurcations in Euclidean Equivariant Systems (0)
- Coincidence of Homeostasis and Bifurcation in Feedforward Networks (0)
- The Malgrange Preparation Theorem (0)
- A REMARK ON PERIODICALLY PERTURBED BIFURCATION (0)
- Bifurcation From Group Orbits (0)
- A Singularity Theory Approach To Steady-State Bifurcation Theory (0)
- ON THE LOCAL STABILITY OF DIFFERENTIAL FORMS * 1 ) (0)
- Patterns in Physical and Biological Systems (0)
- Group-Theoretic Preliminaries (0)
- Hidden Symmetry and Genericity (0)
- Classification of Subgroups of SO ( 2 ) ⊕ R (0)
- A survey on the singularities and stability of differential forms (0)
- 3. Patterns Everywhere (0)
- 5. Symmetric Icons (0)
- Classification by Codimension (0)
- Workshop: Theory an Applications of Coupled Cell Networks (0)
- Pattern Formation in Large Domains 1 August to 23 December 2005 (0)
- Poisson's Equation in Two Space Dimensions (0)
- Dynamics, Symmetry and PDEs. (0)
- BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY (0)
- Modeling Neural Activity: Celebrating Jack Cowan’s Career Symmetry of generalized rivalry network models determines patterns of interocular grouping in four-location binocular rivalry (0)
- Homeostasis and Network Invariants (0)
- 1. Introduction to Symmetry and Chaos (0)
- The Liapunov—Schmidt Reduction (0)
- Patterns of Synchrony: From Animal Gaits to Binocular Rivalry (0)
- Classification of Singularities. Part I: The Thom-Boardman Invariants (0)
- Mode Interactions with O(2) Symmetry (0)
- Further Examples of Hopf Bifurcation with Symmetry (0)
- Reydon Symmetry and the Explanation of Organismal Form Commentary on (0)
- Orthogonality and General Fourier Series (0)

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