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Publications Influence

Singularities and groups in bifurcation theory

- M. Golubitsky, D. Schaeffer
- Mathematics, Physics
- 1985

This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob- lems and we hope to convert the reader to this… Expand

2,807 243

Stable mappings and their singularities

- M. Golubitsky, V. Guillemin
- Mathematics
- 1973

I: Preliminaries on Manifolds.- 1. Manifolds.- 2. Differentiable Mappings and Submanifolds.- 3. Tangent Spaces.- 4. Partitions of Unity.- 5. Vector Bundles.- 6. Integration of Vector Fields.- II:… Expand

1,606 120

Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows

- M. Golubitsky, I. Stewart, A. Török
- Mathematics, Computer Science
- SIAM J. Appl. Dyn. Syst.
- 22 February 2005

TLDR

230 38- PDF

Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks

- I. Stewart, M. Golubitsky, M. Pivato
- Mathematics, Computer Science
- SIAM J. Appl. Dyn. Syst.
- 2003

TLDR

261 28- PDF

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

- M. Golubitsky, I. Stewart
- Mathematics
- 22 March 2002

1. Steady-State Bifurcation.- 1.1. Two Examples.- 1.2. Symmetries of Differential Equations.- 1.3. Liapunov-Schmidt Reduction.- 1.4. The Equivariant Branching Lemma.- 1.5. Application to Speciation.-… Expand

279 28- PDF

Singularities and Groups in Bifurcation Theory: Volume I

- M. Golubitsky, I. Stewart
- Physics
- 5 December 1984

293 27

Nonlinear dynamics of networks: the groupoid formalism

- M. Golubitsky, I. Stewart
- Mathematics
- 3 May 2006

A formal theory of symmetries of networks of coupled dynamical
systems, stated in terms of the group of permutations of the nodes that preserve
the network topology, has existed for some time.… Expand

328 24- PDF

Pattern selection with O(3) symmetry

- E. Ihrig, M. Golubitsky
- Mathematics
- 1 August 1984

Abstract For each irreducible representation of SO(3) and O(3) we determine, up to conjugacy, all isotropy subgroups and identify, in particular, the maximal isotropy subgroups. Each isotropy… Expand

106 14

Hopf Bifurcation in the presence of symmetry

- M. Golubitsky, I. Stewart
- Mathematics
- 1 October 1984

Using group theoretic techniques, we obtain a generalization of the Hopf Bifurcation Theorem to differential equations with symmetry, analogous to a static bifurcation theorem of Cicogna. We discuss… Expand

217 13- PDF

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