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Mathematics

D-Index
63
Citations
19411
World Ranking
436
National Ranking
229

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2009 - SIAM Fellow For contributions to nonlinear dynamics and bifurcation theory.
  • 2006 - Fellow of the American Academy of Arts and Sciences
  • 1987 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Martin Golubitsky is affiliated with The Ohio State University in the United States. Their research spans multiple fields with a focus on biochemistry, genetics, molecular biology, and physics and astronomy. The work primarily involves areas such as gene regulatory network analysis, microbial metabolic engineering and bioproduction, opinion dynamics and social influence, nonlinear dynamics and pattern formation, stochastic dynamics and bifurcation, complex network analysis techniques, and neural dynamics and brain function.

The scientist has published extensively in both journal articles and books. Publications include papers in the following venues:

  • arXiv (Cornell University)
  • Journal of Mathematical Biology
  • SIAM Journal on Applied Dynamical Systems
  • SSRN Electronic Journal
  • Mathematical Biosciences

Frequent co-authors in their work are:

  • Ian Stewart
  • Fernando Antoneli
  • Yangyang Wang
  • Zhengyuan Huang

Selected recent papers include:

  • "Infinitesimal homeostasis in three-node input-output networks," 2020, Journal of Mathematical Biology
  • "The structure of infinitesimal homeostasis in input-output networks," 2021, Journal of Mathematical Biology
  • "Breaking Indecision in Multiagent, Multioption Dynamics," 2023, SIAM Journal on Applied Dynamical Systems
  • "Bifurcations on Fully Inhomogeneous Networks," 2020, SIAM Journal on Applied Dynamical Systems
  • "Classification of infinitesimal homeostasis in four-node input-output networks," 2022, Journal of Mathematical Biology

Martin Golubitsky has contributed to academic literature through book publication, including:

  • Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations, published by the Society for Industrial and Applied Mathematics in 2023

Their main fields of study, divided by subfields, include:

  • Molecular Biology
  • Statistical and Nonlinear Physics
  • Computer Networks and Communications
  • Cognitive Neuroscience
  • Global and Planetary Change

Martin Golubitsky has received several awards recognizing contributions to mathematics and related sciences, including:

  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2009) for contributions to nonlinear dynamics and bifurcation theory
  • Fellow of the American Academy of Arts and Sciences (2006)
  • Fellow of the American Association for the Advancement of Science (AAAS) (1987)

Best Publications

  • Singularities and groups in bifurcation theory

    Martin Golubitsky;Ian Nicholas Stewart;David G Schaeffer

  • Stable mappings and their singularities

    Martin Golubitsky;Victor Guillemin

  • Nonlinear dynamics of networks: the groupoid formalism

    Martin Golubitsky;Ian Stewart

  • Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex.

    Paul C. Bressloff;Jack D. Cowan;Martin Golubitsky;Peter J. Thomas

  • The Symmetry Perspective

    Martin Golubitsky;Ian Stewart

  • Symmetry in locomotor central pattern generators and animal gaits.

    Martin Golubitsky;Ian Stewart;Pietro-Luciano Buono;J. J. Collins

  • A Theory for Imperfect Bifurcation via Singularity Theory.

    M. Golubitsky;D. Schaeffer

  • Patterns of synchrony in coupled cell networks with multiple arrows

    Martin Golubitsky;Ian Stewart;Andrei Torok

  • Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks

    Ian Stewart;Martin Golubitsky;Marcus Pivato

  • The Symmetry Perspective: From Equilibrium to Chaos in Phase Space and Physical Space

    Martin Golubitsky;Ian Nicholas Stewart

  • What geometric visual hallucinations tell us about the visual cortex

    Paul C. Bressloff;Jack D. Cowan;Martin Golubitsky;Peter J. Thomas

  • Hopf Bifurcation in the presence of symmetry

    Martin Golubitsky;Ian Stewart

  • Classification and Unfoldings of Degenerate Hopf Bifurcations

    Martin Golubitsky;William F Langford

  • A modular network for legged locomotion

    Martin Golubitsky;Ian Stewart;Pietro-Luciano Buono;J. J. Collins

  • Symmetries and pattern selection in Rayleigh-Bénard convection

    M. Golubitsky;J.W. Swift;E. Knobloch

  • Symmetry-increasing bifurcation of chaotic attractors

    P. Chossat;M. Golubitsky

  • Fearful Symmetry: Is God a Geometer?

    Ian Nicholas Stewart;Martin Golubitsky

  • Models of central pattern generators for quadruped locomotion. I. Primary gaits.

    Pietro-Luciano Buono;Martin Golubitsky

  • Imperfect bifurcation in the presence of symmetry

    M. Golubitsky;D. Schaeffer

  • Boundary conditions and mode jumping in the buckling of a rectangular plate

    David Schaeffer;Martin Golubitsky

  • Singularities and Groups in Bifurcation Theory: Volume I

    David G. Schaeffer;Martin Golubitsky

Frequent Co-Authors

Michael Dellnitz
Michael Dellnitz University of Paderborn
Ian Melbourne
Ian Melbourne University of Warwick
Jerrold E. Marsden
Jerrold E. Marsden California Institute of Technology
Paul C. Bressloff
Paul C. Bressloff University of Utah
Yuan Lou
Yuan Lou Shanghai Jiao Tong University
John Guckenheimer
John Guckenheimer Cornell University
Edgar Knobloch
Edgar Knobloch University of California, Berkeley
Steven H. Strogatz
Steven H. Strogatz Cornell University

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