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Publications Influence

Infinite-dimensional Lie algebras

- R. Amayo, I. Stewart
- Mathematics
- 31 October 1974

1. Basic concepts.- 1. Preliminaries.- 2. Nilpotency and solubility.- 3. Subideals.- 4. Derivations.- 5. Classes and closure operations.- 6. Representations and modules.- 7. Chain conditions.- 8.… Expand

2,724 357

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 39- 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

276 30- 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 29- PDF

TA Today: A New Introduction to Transactional Analysis

- I. Stewart, Vann S. Joines
- Computer Science
- 1 June 1987

TLDR

226 29- PDF

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

From attractor to chaotic saddle: a tale of transverse instability

- P. Ashwin, J. Buescu, I. Stewart
- Mathematics
- 1 May 1996

Suppose that a dynamical system possesses an invariant submanifold, and the restriction of the system to this submanifold has a chaotic attractor A. Under which conditions is A an attractor for the… Expand

288 18- PDF

Does God Play Dice? The New Mathematics of Chaos

- I. Stewart
- Mathematics, Sociology
- 1989

Preface to the Second Edition. Prologue: Clockwork or Chaos? 1. Chaos from Order. 2. Equations for Everything. 3. The Laws of Error. 4. The Last Universalist. 5. One-way Pendulum. 6. Strange… Expand

480 16

The collapse of chaos : discovering simplicity in a complex world

- J. Cohen, I. Stewart
- Mathematics
- 1995

Simplicity and complexity the laws of nature the organization of development the possibilities of evolution the origins of human understanding systems of interactive behaviour complexity and… Expand

460 16- PDF