Controlling Synchronization Patterns in Complex Networks

Judith Lehnert studied physics at Humboldt Universität zu Berlin, Technische Universität Berlin, Germany, and the University of Leeds, UK. Her studies were supported by a scholarship for academic excellence of the German National Academic Foundation. She received her Diploma in 2010 for which she was awarded the Physics Study Award of the Wilhelm and Else Heraeus Foundation and the Clara von Simson Award. In 2010 and 2012, she visited St. Petersburg State University, Russia, supported by the German-Russian Interdisciplinary Science Center. Judith Lehnert received the Dr. rer. nat. degree from Technische Universität Berlin in 2015. Her research interests include nonlinear dynamics, complex networks, adaptive control, zero-lag and cluster synchronization, delay differential equations and neural dynamics.

Introduction.- Complex Dynamical Networks.- Synchronization In Complex Networks.- Control of Synchronization Transitions by Balancing Excitatory and Inhibitory Coupling.- Cluster and Group Synchrony: The Theory.- Zero-Lag and Cluster Synchrony: Towards Applications.- Adaptive Control.- Adaptive Time-Delayed Feedback Control.- Adaptive Control of Cluster States in Network Motifs.- Adaptive Topologies.- Conclusion.