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math.DS2012★ 1 cited
Amplified Hopf bifurcations in feed-forward networks
Bob Rink, Jan Sanders
In a previous paper, the authors developed a method for computing normal forms of dynamical systems with a coupled cell network structure. We now apply this theory to one-parameter…
math.DS2012
Coupled cell networks: semigroups, Lie algebras and normal forms
Bob Rink, Jan Sanders
We introduce the concept of a semigroup coupled cell network and show that the collection of semigroup network vector fields forms a Lie algebra. This implies that near a dynamical…