Some Curious Phenomena in Coupled Cell Networks

@article{Golubitsky2004SomeCP,
  title={Some Curious Phenomena in Coupled Cell Networks},
  author={Martin Golubitsky and Matthew Nicol and Ian Stewart},
  journal={J. Nonlinear Science},
  year={2004},
  volume={14},
  pages={207-236}
}
We discuss several examples of synchronous dynamical phenomena in coupled cell networks that are unexpected from symmetry considerations, but are natural using a theory developed by Stewart, Golubitsky, and Pivato. In particular we demonstrate patterns of synchrony in networks with small numbers of cells and in lattices (and periodic arrays) of cells that cannot readily be explained by conventional symmetry considerations. We also show that different types of dynamics can coexist robustly in… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 13 references

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

  • M. Golubitsky, I. Stewart
  • Progress in Mathematics 200, Birkhäuser, Basel,
  • 2002
Highly Influential
7 Excerpts

Singularities and Groups in Bifurcation Theory II

  • M. Golubitsky, I. Stewart, D. G. Schaeffer
  • Applied Mathematics Sciences,
  • 1988
Highly Influential
4 Excerpts

Patterns of oscillation in coupled cell systems

  • D. G. Schaeffer
  • Singularities and Groups in Bifurcation Theory II…
  • 2002

Patterns of oscillation in coupled cell systems. In Geometry, Dynamics, and Mechanics: 60th Birthday Volume for J.E

  • M. Golubitsky, I. Stewart
  • 2002
1 Excerpt

Remarks on multi-frequency oscillations in (almost) symmetrically coupled oscillators

  • D. Armbruster, P. Chossat
  • Phys. Lett. A
  • 1999
1 Excerpt

Similar Papers

Loading similar papers…