Average dynamics of a finite set of coupled phase oscillators presenting excitability.

DIMA GERMÁN, GABRIEL MINDLIN

Carlos Paz, Córdoba

Congreso; XII Latin American Workshop on Nonlinear Phenomena; 2013

P { margin-bottom: 0.21cm; } Large systems consisting of many coupled excitable units occur in a wide variety of fields. Recently, it has been shown that in arrays of all-to all coupled units, the dynamics of the average activity of the network is ruled (in the limit of N to infiny) by a low dimensional dynamical system. In this work we investigate the actual size of a infinite array whose dynamics can be represented by the behavior of the infinitely large one. We compare those two cases studying the topological organization of periodic orbits found in their average dynamics. P { margin-bottom: 0.21cm; <font size="2"><font face="sans-serif">ss</font></font>Large systems consisting of many coupled excitable units occur in a wide variety of fields. Recently, it has been shown that in arrays of all-to all coupled units, the dynamics of the average activity of the network is ruled (in the limit of N to infiny) by a low dimensional dynamical system. In this work we investigate the actual size of a infinite array whose dynamics can be represented by the behavior of the infinitely large one. We compare those two cases studying the topological organization of periodic orbits found in their average dynamics.