Heteroclinic dynamics on the join of networks

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