We present a method of combining coupled cell systems to get dynamics supporting robust simple heteroclinic networks given by the product of robust simple heteroclinic networks (cycles). We consider coupled cell networks, with no assumption on symmetry, and combine them via the join operation. Assuming that the dynamics of the component networks supports robust simple heteroclinic cycles or networks, we show that the join dynamics realizes a more complex heteroclinic network given by the product of those cycles or networks. Moreover, the equilibria in the product heteroclinic network correspond to partially synchronous states. This is joint work with Ana Dias (University of Porto).
Date and Venue
Start Date
Venue
Room FC1.031
Speaker
Manuela Aguiar
Speaker's Institution
FEP, CMUP
Area
Dynamical Systems