| 概要 | We study synchrony-breaking bifurcations of equilibrium
in coupled cell systems (CCS) which are admissible systems
of ODEs over a coupled cell network (CCN) represented
by a directed graph. We obtain two main results. First,
we give a complete characterization of steady-state
synchrony-breaking bifurcations in 1-input regular networks.
Second, we discuss reducibility of networks and show that
certain networks n-cell bidirectional ring with odd n>3
are non-reducible. |