Some Curious Phenomena in Coupled Cell Networks

  title={Some Curious Phenomena in Coupled Cell Networks},
  author={Martin Golubitsky and Matthew Nicol and Ian Stewart},
  journal={J. Nonlinear Science},
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


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