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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster - Complex nonlinear systems

DY 30.9: Poster

Tuesday, March 8, 2016, 18:15–21:00, Poster C

Autonomous learning in networks of heterogeneous relaxation oscillators — •Enrico Fengler, Jan F. Totz, and Harald Engel — Institut für Theoretische Physik, TU-Berlin, Berlin

Recently, networks of coupled phase oscillators with intrinsic time-delayed feedback have been trained to exhibit a desired level of partial synchronization adjusting their adjacency matrix accordingly [1]. We extend this model in two directions. First, we replace a single by a multi-valued target state. Second, instead of adapting the connection weights between the links in one network, we introduce linking probabilities between two nodes and study the performance of an ensemble of networks. Finally, in numerical simulations with a modified ZBKE model [2], we analyze numerically synchronization patterns in a network of heterogeneous Belousov-Zhabotinsky chemical oscillators [3].

[1] P. Kaluza, A.S. Mikhailov, Autonomous learning by simple dynamical systems with delayed feedback, Phys. Rev. E 90(R), 030901 (2014). [2] A. M. Zhabotinsky, F. Buchholtz, A. B. Kiyatkin, and I. R. Epstein, Oscillations and waves in metal-ion-catalyzed bromate oscillating reactions in highly oxidized states, J. Phys. Chem. 97, 7578 (1993). [3] J. F. Totz, R. Snari, D. Yengi, M. R. Tinsley, H. Engel, and K. Showalter, Phase-lag synchronization in networks of coupled chemical oscillators, Phys. Rev. E 92, 022819 (2015).