Regensburg 2019 – wissenschaftliches Programm
SOE 12.15: Poster
Dienstag, 2. April 2019, 16:00–19:00, Poster A
Weak multiplexing in neural networks: Switching between chimera and solitary states — •Anna Zakharova1, Maria Mikhaylenko1,2, Lukas Ramlow2, and Sarika Jalan3 — 1Technische Universität Berlin, Germany — 2ITMO University, St.Petersburg, Russia — 3IIT Indore, India
Using the model of a FitzHugh-Nagumo system in the oscillatory regime, we study spatio-temporal patterns occurring in a two-layer multiplex network, where each layer is represented by a non-locally coupled ring . We show that weak multiplexing, i.e., when the coupling between the layers is smaller than that within the layers, can have a significant impact on the dynamics of the neural network. We develop control strategies based on weak multiplexing and demonstrate how the desired state in one layer can be achieved without manipulating its parameters, but only by adjusting the other layer. We find that weak multiplexing allows to induce or suppress chimera states. Interestingly, for small intra-layer coupling strength mismatch, solitary states can be induced throughout the whole network.
 M. Mikhailenko, L. Ramlow, S. Jalan and A. Zakharova, Weak multiplexing in neural networks: Switching between chimera and solitary states, arXiv:1809.07148 (2018)