Dresden 2014 – wissenschaftliches Programm

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BP: Fachverband Biologische Physik

BP 29: Networks – Statistics and Dynamics (joint DY/BP/SOE)

BP 29.5: Vortrag

Mittwoch, 2. April 2014, 16:00–16:15, ZEU 118

The topology of adaptively controlled networks — •Judith Lehnert¹, Philipp Hövel^1,2, Alexander Fradkov^3,4, and Eckehard Schöll¹ — ¹Institut für Theoretische Physik, TU Berlin, Hardenbergstr. 36, 10623 Berlin, Germany — ²Bernstein Center for Computational Neuroscience, HU Berlin, Philippstr. 13, 10115 Berlin, Germany — ³SPb State University, Universitetskii pr.28, St. Petersburg, 198504 Russia — ⁴Institute 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 of 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.

The emerging topology of the network is modulated by the delay. If the delay time is a multiple of the system’s eigenperiod, the coupling within a cluster and to neighboring clusters is on average positive (excitatory), while the coupling to clusters with a phase lag close to π is negative (inhibitory). For delay times equal to odd multiples of half of the eigenperiod, we find the opposite: Nodes within one cluster and of neighboring clusters are coupled by inhibitory links, while the coupling to clusters distant in phase state is excitatory.