Regensburg 2013 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 15: Focus Session: Dynamics of Adaptive Networks (joint with DY and BP)

SOE 15.2: Talk

Wednesday, March 13, 2013, 10:00–10:15, H37

Controlling cluster synchronization by adaptive network topology — •Judith Lehnert¹, Anton Selivanov², Alexander Fradkov^2,3, and Eckehard Schöll¹ — ¹Institut für Theoretische Physik,TU-Berlin, Hardenbergstr 36, 10623 Berlin, Germany, — ²SPb State University, Universitetskii pr.28, St.Petersburg, 198504 Russia — ³Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoy Ave, 61, V. O., St. Petersburg, 199178 Russia

Adaptive networks are characterized by a complicated interplay between the dynamics on the nodes and a changing topology: The topology evolves according to the state of the system, while at the same time the dynamics on the network and thus its state is influenced by that topology. Here, we present an algorithm for a changing topology that allows us to control the dynamics on the network. In particular, we control zero-lag and cluster synchronization in delay-coupled networks of Stuart-Landau oscillators. Our method is robust towards different initial conditions. Furthermore, it is not necessary to adapt the network as a whole but it is sufficient to apply the method to a subset of the links to control the dynamics of all nodes. Finally, we discuss the topological characteristics of the network after successful control.