Preliminary results on peculiar patterns in fractional coupled oscillators

Abstract

We study peculiar dynamical patterns of a fractional derivative of complex-order network. The network consists of two rings of cells coupled through a `buffer' cell, with Z3 × Z5 symmetry group. Each cell is modeled by the Chen oscillator. Numerical simulations expose interesting dynamical features, such as equilibria, periodic solutions and relaxation oscillations, for distinct value of the real part of the fractional derivative of complex-order. Further work is needed to enhance our knowledge of the underlying dynamics of the network.