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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
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
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
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
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
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
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
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