Locally connected oscillatory networks acting as fully connected oscillatory networks
Fernando Corinto, Marco Gilli, Tamás Roska · 2010
Oscillatory networks, their archetype being the Turing morphogenesis model, are mathematically represented by large systems of ordinary differential equations and provide an appropriate paradigm for describing many spatial-temporal periodic patterns. The aim of this manuscript is to show that locally connected oscillatory networks (oscillatory CNNs) with linear memoryless and space-invariant interactions may behave as globally connected networks with linear dynamical interactions, if some suitable components of the oscillator state vector are coupled. Space-invariant local connectivity allows to build simple prototype hardware platforms for processing spatial-temporal patterns.