Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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Network Dynamics

Head of group:  Timme, Marc 

We are trying to understand the structure and dynamics of complex networks in physics and biology as well as social networks of human interactions. One focus is on the analysis and modeling of the activity of neural networks in the brain. We also develop mathematical tools required for understanding these highly complex systems. Furthermore, the Network Dynamics team works on foundations and applications in the areas of computer science, statistical physics of disordered systems, artificial neural networks and robotics, and, more recently, gene evolution and power grids and complex human interaction networks.

 


Projects:

Dynamics of Modern Power Grids

Switching our current energy supply to renewable sources poses one of the greatest technological and social challenges of humankind. A successful transition in particular requires an intelligent upgrade of the current electric power grid. So-called 'smart grids' may provide part of the solution by enabling the transmission of demand and supply information across the grid online, thereby adapting energy production and distribution, and thus aiming to control the entire grid. However, stable operation as well as failures on large scales already today are consequences of the collective dynamics of the power grid and are often caused by non-local mechanisms. We thus urgently need to understand the intrinsic network dynamics on the large scale to complement partial solutions of control engineering and to be able to develop efficient strategies for operating the future grid. We thus develop and analyze appropriate coarse-scale models of future power grids with an emphasis on increasingly distributed demand and supply. First results show several intriguing features. For instance, the addition of new transmission lines may *destabilize* power grid operation (via Braess paradox that we identified in oscillator networks). In addition, replacing the few large power plants by many small and distributed ones may stabilize grid operation, at least in the stationary (short-time) regime.

Control and Selforganization for Autonomous Robots

How can distributed or autonomous systems control themselves to function properly? We are developing a novel line of research: Advancing the theory of chaos control we strive to bring it to applications for making autonomous robots more versatile and more self-organized

Complex call sequences in social whale communication

How do social animals communicate? Social whales may be one of the best fit animal model to study complex vocal communication patterns. We are interested in developing an automated classification system for vocalizations of killer whales and pilot whales. Very loosely speaking one can think of this as developing a "speech"-recognition system for whale vocalizations. Another, more general aim of this project is to characterize whale vocalizations in terms of information theoretic measures and to compare them to human languages.

Structure, Dynamics and Function of Complex Networks

How does the interaction topology of a complex network control its dynamics? Can we infer information about how a network is connected from dynamics measurements only? We address theoretical and practical aspects of such questions using mathematical modeling studies for general network dynamical systems and neural networks in particular.

Complex Disordered Systems: Statistical Physics and Symbolic Computation

Many particles interacting nonlinearly often give rise to very complex behavior. This is true even for apparently simple systems, such as those in thermal equilibrium. For instance, particles with a spin that are anti-ferromagnetically coupled may give rise to positive ground state entropy, an exception to the third law of thermodynamics. Investigating such complex ground states immediately leads us to hard enumeration problems in graph theory and computer science. Here we try to understand basic features of complex macroscopic states and in parallel develop tools for analytically and computationally addressing large system with complex ground states and related graph theoretical problems.

Nonlinear Methods for Detecting Timing Relations in Neural Data

Making sense of huge neural data sets that contain spikes as well as temporally more coarse information constitutes a challenging task of current research. This is even more so as. for instance, the number of units possible to recorded from simulataneously, increases at a rapid pace. In this project we are developing novel methods of nonlinear time series analysis to relate dynamical quantities of neural activity on different temporal and spatial scales. We currently focus on relating the often precisely timed occurrence of spikes to the temporal evolution of local field potentials and low frequency oscillations via modern phase analysis techniques.

Theory of Precise Timing in Spiking Neural Networks

Coordinated patterns of precisely timed activity is a key ingredient for neural information processing. This project investigates the theoretical fundamentals underlying the mechanisms for generating precisely timed spikes in complex neural networks.

People working in this Group:

Name Email Phone
José Luis Casadiego Bastidas send email   [+49-(0)551-5176-557
Wen-Chuang Chou send email   [+49-(0)551-5176-550
Federico Faraci send email   [+49-(0)551-5176-491
Burooj Ghani send email   [+49-(0)551-5176-486
Sarah Hallerberg send email   [+49-(0)551-5176-543
Sven Jahnke send email   [+49-(0)551-5176-561
Johannes Adrian Kassel send email   [+49-(0)551-5176-574
Barbara Kutz send email   [+49-(0)551-5176-504
Debsankha Manik send email   [+49-(0)551-5176-560
Maria Florencia Noriega Romero Vargas send email   [+49-(0)551-5176-591
Martin Rohden send email   [+49-(0)551-5176-551
Sura Saleh send email   [+49-(0)551-5176-486
Malte Schröder send email   [+49-(0)551-5176-551
Benjamin Schäfer send email   [+49-(0)551-5176-549
Andreas Sorge send email   [+49-(0)551-5176-478
Marc Timme send email   [+49-(0)551-5176-440
Gunter Weber send email   [+49-(0)551-5176-486
Xiaozhu Zhang send email   [+49-(0)551-5176-551

Selected publications of the group