Combinatorial dynamics
Michael Field · Dynamical Systems · 2004
Recently Stewart, Golubitsky and co-workers have formulated a general theory of networks of coupled cells. Their approach depends on groupoids, graphs, balanced equivalence relations and ‘quotient networks’. We present a combinatorial approach to coupled cell systems. While largely equivalent to that of Stewart et al., our approach is motivated by ideas coming from analogue computers and avoids abstract algebraic formalism.