FOR 2093

C3: Synchronizing Memristively Coupled Oscillator Networks – Theory and Emulation.

Basic learning mechanisms refer to synchronization patterns, where the signals of the individual neurons are synchronized. The synchronization ability results from different coupling mechanisms, the interconnection topology and distributed delays. These are addressed in this project in terms of oscillator networks with memristive and reactive coupling elements resulting in dynamically adapting graphs. The methodical approach is complementary and combines control theoretic concepts for the structural analysis of the network and the deduction of design rules ensuring and enabling synchronization with circuit oriented concepts of wave digital emulation to synthesize and to evaluate electric circuit interactions of networks involving memristive two-ports. In addition to finite-dimensional oscillator models in terms of ordinary differential equations continuum models involving partial differential equations will be considered to address large ensembles of distributed oscillators and their self-organization. The developed analysis, design and synthesis techniques will be evaluated in numerical simulations and wave digital emulations.