Martin Golubitsky

About

Martin Golubitsky is a faculty emeritus and distinguished professor of mathematics and physical sciences at The Ohio State University. His areas of expertise include dynamical systems, bifurcation theory, networks/neuroscience, and symmetry in chaos. He earned his PhD from MIT in 1970 and has contributed significantly to the understanding of complex systems through his research in applied mathematics, particularly in the study of differential and partial differential equations, mathematical biology, and the mathematical analysis of networks. His work involves exploring the mathematical structures underlying dynamical phenomena, with a focus on symmetry and bifurcation in chaotic systems.

Research topics

• Mathematics
• Pure mathematics
• Physics
• Mathematical analysis
• Computer science

Selected publications

• Infinitesimal homeostasis in three-node input–output networks

  Journal of Mathematical Biology · 2020-01-09 · 28 citations

  article1st authorCorresponding
  PublisherDOI

• Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations

  Society for Industrial and Applied Mathematics eBooks · 2023-01-01 · 27 citations

  book1st authorCorresponding
  PublisherDOI

• Breaking Indecision in Multiagent, Multioption Dynamics

  SIAM Journal on Applied Dynamical Systems · 2023-07-26 · 12 citations

  articleOpen access

  peer reviewed

  PublisherOA PDFDOI

• Bifurcations on Fully Inhomogeneous Networks

  SIAM Journal on Applied Dynamical Systems · 2020-01-01 · 10 citations

  article

  Center manifold reduction is a standard technique in bifurcation theory, reducing the essential features of local bifurcations to equations in a small number of variables corresponding to critical eigenvalues. This method can be applied to admissible differential equations for a network, but it bears no obvious relation to the network structure. A fully inhomogeneous network is one in which all nodes and couplings can be different. For this class of networks, there are general circumstances in w…

  PublisherDOI

• Homeostasis Patterns

  SIAM Journal on Applied Dynamical Systems · 2024-08-27 · 3 citations

  article
  PublisherDOI

Recent grants

• Coupled Systems and Applications

  NSF · $201k · 2010–2014

• Mathematical Biosciences Institute

  NSF · $16.2M · 2010–2016

Frequent coauthors

• Ian Stewart

  University of Warwick

  132 shared

• David G. Schaeffer

  Duke University

  100 shared

• L. Sirovich

  Applied Mathematics (United States)

  16 shared

• Jerrold E. Marsden

  15 shared

• Fernando Antoneli

  10 shared

• Victor Guillemin

  10 shared

• Michael Dellnitz

  9 shared

• Yunjiao Wang

  University of Chinese Academy of Sciences

  8 shared

Similar researchers at Ohio State University

• Wonjun Leeh-84
• David Andersonh-70
• Yiyu Wangh-56