For generic vector fields, synchrony patterns in coupled cell networks are always balanced, completing proofs of the rigid synchrony conjecture, full oscillation conjecture, and constant states observation.
Feinberg,The existence and uniqueness of steady states for a class of chem- ical reaction networks, Archive for Rational Mechanics and Analysis n o132 (1995), pp
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Generic balanced synchrony patterns in network dynamics
For generic vector fields, synchrony patterns in coupled cell networks are always balanced, completing proofs of the rigid synchrony conjecture, full oscillation conjecture, and constant states observation.