Complex Oscillatory Systems: Modeling and Analysis

COSMOS, a three-year doctoral training framework for a European Joint Doctorate (EJD), training 15 early stage researchers (ESRs) at 8 top European Universities, in collaboration with 11 industrial and research partner institutions.
The overarching research aim of COSMOS is to understand the behaviour of large and complex systems, specifically those composed of multiple interrelated sub-units, many of which operate on different time scales.

Locations of Principal Academic Partners

University of Potsdam

Institut für Physik und Astronomie Statistical Physics and Theory of Chaos Universität Potsdam  | Campus “Golm” Karl-Liebknecht-Strasse 24/25 14476 Potsdam-Golm , Germany

University of Aberdeen

King’s College University of Aberdeen King’s College Aberdeen AB24 3FX United Kingdom

Lancaster University

Department of Physics Nonlinear Biomedical Physics Group Lancaster University LANCASTER LA1 4YB, UK

University of Florence

Università degli Studi di Firenze Dipartimento di Fisica e Astronomia Via Giovanni Sansone, 1 50019 Sesto Fiorentino (Firenze), Italia

University of Barcelona

Universitat Pompeu Fabra Nonlinear Signal Analysis Group and Computational Neuroscience Group Mercè building Plaça de la Mercè, 10-12 08002 Barcelona

VU University Amsterdam

Faculty of Behavioural and Movement Sciences AMS Research Institute Amsterdam VU University Amsterdam Van der Boechorststraat 7 1081 BT Amsterdam

FIS - Faculty of Information studies in Novo Mesto

Laboratory of Data Technologies Faculty of Information studies in Novo Mesto Ljubljanska cesta 31A, PO box 603 8000 Novo mesto

University of Graz

Medizinische Universität Graz Institute of Physiology Auenbruggerplatz 2 A-8036 Graz

Distribution of responsibilities

University of Potsdam

The Statistical physics and theory of chaos group at the Department of Physics and Astronomy participates at the interdisciplinary priority focus area Dynamics of Complex Systems.

  • Dynamics of Complex Systems 100% 100%
  • Mathematics 50% 50%
  • Computer Science 25% 25%

University of Aberdeen

The Institute for Complex Systems and Mathematical Biology (ICSMB) collaborates with the Institute of Medical Sciences as well as with the Institute of Pure and Applied Mathematics.

  • Statistical Physics 100% 100%
  • Mathematics 50% 50%
  • Computer Science 25% 25%

Lancaster University

The Nonlinear Biomedical Physics Group (NBPG) applies nonlinear-dynamics tools to better understand living systems.

  • Nonlinear Dynamics 50% 50%
  • Physiology 60% 60%
  • Computer Science 25% 25%

University of Florence

The Dept. of Physics and Astronomy/ Interdepartment Center for the Study of Complex Dynamics. Cooperation with Institute of Complex of the Italian research council.

  • Statistical Physics 100% 100%
  • Spike Train Analysis 70% 70%

Universitat Pompeu Fabra

The Nonlinear Signal Analysis Group and Computational Neuroscience Group are part of the Department of Information and Communication Technologies

  • Nonlinear Dynamics 100% 100%
  • Electrophysiology 70% 70%
  • Time Series Analysis 25% 25%

Vrije Universiteit Amsterdam

The Coordination Dynamics group of the AMS Research Institute  currently focus on functional connectivity studies, using nonlinear dynamics and graph theory

  • Functional Connectivity 100% 100%
  • Nonlinear Dynamics 80% 80%
  • Graph Theory 25% 25%

FIŠ – Novo Mesto

Laboratory of Data Technologies at Faculty of Information Studies combines network analysis/graph theory, statistical physics, machine learning and methods of data analysis

  • Analysis/Graph Theory 100% 100%
  • Statistcal Physics 50% 50%
  • Machine Learning 25% 25%

University of Graz

The Institute of Physiology Main areas of research are chronobiology, autonomic nervous system, heart rate variability, clinical physiology, stress and recovery research.

  • Medical Science 100% 100%
  • Data Processing 25% 25%


An intensive and successful cooperation of all associated  European top universities…


In collaboration with dedicated industrial and research partner institutions…


The total duration of the project is 4 years…


Scientific work is the past output of the network…

Our tasks and results

Vrije Universiteit Amsterdam
Amsterdam Movement Sciences | AMS

Scientific Goals

Many natural and artificial systems are composed of mutually interacting oscillatory elements. In such systems, many temporal and spatial scales can be present accompanied by the spontaneous emergence of collective properties. What are relevant variables to describe these phenomena? We seek to develop a set of generic tools to identify the most appropriate variables for describing such phenomena and, ultimately, to control the underlying systems.


Andreas Daffertshofer
Andreas Daffertshofer
Principal Investigator
Bob van Dijk


A. Daffertshofer, R. Ton, B. Pietras, M.L. Kringelbach, G. Deco Scale-freeness or partial synchronization in neural mass phase oscillator networks: Pick one of two NeuroImage, In press.

A. Daffertshofer, R. Ton, M.L. Kringelbach, M. Woolrich, G. Deco Distinct criticality of phase and amplitude dynamics in the resting brain NeuroImage. In press.

B. Pietras and A. Daffertshofer Ott-Antonsen attractiveness for parameter-dependent oscillatory systems Chaos 26, 103101 (2016)

B. Pietras, N. Deschle, A. Daffertshofer Equivalence of coupled networks and networks with multimodal frequency distributions: Conditions for the bimodal and trimodal case, Phys. Rev. E 94, 052211 (2016) (…)


Conferences & Presentations

Deschle N., Schelter B., Daffertshofer A. Determining the Mean Field Dynamics in Complex Networks Via the Kramers-Moyal Expansion. Snowbird, Utah, USA, May 2017, Poster

Deschle N. and Daffertshofer A. Quantifying topology transfer in interconnected networks of phase oscillators using relaxation time, 2016 Conference on Complex Systems Amsterdam. Talk Abstract

Deschle N., Pietras B., Daffertshofer A. Estimation of relaxation times in coupled oscillatory networks, Statphys26 Satellite: Complex Networks: from theory to interdisciplinary applications. Marseille July 2016. Poster.

Official Network News

More information on network site.

Cooperation Partners

Industrial Organizations

This project has received funding from the European Union’s Horizon 2020 research and innovation programme
under the Marie Sklodowska-Curie grant agreement No 642563.

Get In Touch.

If you are interested in working together, send us an inquiry and we will get back to you as soon as we can!

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