Patterns of synchrony in lattice dynamical systems

@inproceedings{Antoneli2005PatternsOS,
  title={Patterns of synchrony in lattice dynamical systems},
  author={Fernando Antoneli and Ana Paula S. Dias and Martin Golubitsky and Yunjiao Wang},
  year={2005}
}
From the point of view of coupled systems developed by Stewart, Golubitsky and Pivato, lattice differential equations consist of choosing a phase space R for each point in a lattice, and a system of differential equations on each of these spaces R such that the whole system is translation invariant. The architecture of a lattice differential equation specifies the sites that are coupled to each other (nearest neighbour coupling (NN) is a standard example). A polydiagonal is a finite-dimensional… CONTINUE READING

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