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Complex Oscillatory Systems: Modeling and Analysis

Total Cost €


EC-Contrib. €






Project "COSMOS" data sheet

The following table provides information about the project.


Organization address
address: AM NEUEN PALAIS 10
postcode: 14469

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Germany [DE]
 Project website
 Total cost 3˙877˙488 €
 EC max contribution 3˙877˙488 € (100%)
 Programme 1. H2020-EU.1.3.1. (Fostering new skills by means of excellent initial training of researchers)
 Code Call H2020-MSCA-ITN-2014
 Funding Scheme MSCA-ITN-EJD
 Starting year 2015
 Duration (year-month-day) from 2015-01-01   to  2019-08-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITAET POTSDAM DE (POTSDAM) coordinator 533˙046.00
3    UNIVERSITY OF LANCASTER UK (LANCASTER) participant 546˙575.00
4    UNIVERSITA DEGLI STUDI DI FIRENZE IT (Florence) participant 516˙122.00
5    STICHTING VU NL (AMSTERDAM) participant 510˙748.00
6    UNIVERSIDAD POMPEU FABRA ES (BARCELONA) participant 495˙745.00
8    MEDIZINISCHE UNIVERSITAT GRAZ AT (GRAZ) participant 220˙387.00
10    Cybula Ltd. UK (York) partner 0.00
12    Human Research Institut für Gesundheitstechnologie und Präventionsforschung GmbH AT (Weiz) partner 0.00
14    Joysys GmbH AT (Weiz) partner 0.00
15    TauRx Therapeutics Ltd SG (Singapore) partner 0.00


 Project objective

Many natural and artificial systems are often composed of oscillatory elements which, besides evolving according to their own non-trivial internal dynamics, mutually interact. As a result, many temporal and spatial scales are typically present, often accompanied by the spontaneous emergence of collective properties. Altogether, such features make the task of understanding the resulting evolution a challenging interdisciplinary problem. Zero-knowledge methods do generally require too large amount of data to allow drawing meaningful conclusions. In order to overcome this limitation, it is necessary to add skilful hypotheses about the structure of the underlying model and, thereby, on the relevant variables. This task is often tackled in an ad hoc way and the approach is based rather on personal preferences than on objective elements. The goal of this project is to fill the gap, by developing a general and coherent set of tools for the system identification and control, as well as to improve our ability to make predictions. The task will be pursued by combining top-down with bottom-up approaches which will be used to identify the most appropriate variables. Such analysis will be integrated by performing suitable case studies and mutually validating the various techniques to test the correctness of the underlying assumptions (both in the context of theoretical models as well as in experimental time series, such as physiological and neural data). A user-friendly software package will be ultimately developed to make the methods accessible to a broad set of potential users, including those with minimal theoretical competences. Furthermore, we will train a new generation of scientists able to implement a broad range of interdisciplinary approaches to the multivariate time signals that may be generated by the evolution of complex systems.


List of deliverables.
Final conference Other 2020-04-09 08:27:56
Workshop3 Other 2020-04-09 08:27:56
Software toolbox Other 2020-04-09 08:27:56
School2 Other 2020-04-09 08:27:55
Supervisory Board Documents, reports 2020-04-09 08:27:55
WEB page Websites, patent fillings, videos etc. 2020-04-09 08:27:55
Announcements Other 2020-04-09 08:27:55
Workshop2 Other 2020-04-09 08:27:55
School1, Workshop1 Other 2020-04-09 08:27:55

Take a look to the deliverables list in detail:  detailed list of COSMOS deliverables.


year authors and title journal last update
List of publications.
2019 Bastian Pietras, Federico Devalle, Alex Roxin, Andreas Daffertshofer, Ernest Montbrió
Exact firing rate model reveals the differential effects of chemical versus electrical synapses in spiking networks
published pages: , ISSN: 2470-0045, DOI: 10.1103/physreve.100.042412
Physical Review E 100/4 2020-04-09
2019 Pau Clusella, Antonio Politi
Between phase and amplitude oscillators
published pages: , ISSN: 2470-0045, DOI: 10.1103/physreve.99.062201
Physical Review E 99/6 2020-04-09
2019 Richard Janis Goldschmidt, Arkady Pikovsky, Antonio Politi
Blinking chimeras in globally coupled rotators
published pages: 71101, ISSN: 1054-1500, DOI: 10.1063/1.5105367
Chaos: An Interdisciplinary Journal of Nonlinear Science 29/7 2020-04-09
2019 Marco Faggian, Francesco Ginelli, Fernando Rosas, Zoran Levnajić
Synchronization in time-varying random networks with vanishing connectivity
published pages: , ISSN: 2045-2322, DOI: 10.1038/s41598-019-46345-y
Scientific Reports 9/1 2020-04-09
2019 Rok Cestnik, Markus Abel
Inferring the dynamics of oscillatory systems using recurrent neural networks
published pages: 63128, ISSN: 1054-1500, DOI: 10.1063/1.5096918
Chaos: An Interdisciplinary Journal of Nonlinear Science 29/6 2020-04-09
2019 Bastian Pietras, Andreas Daffertshofer
Network dynamics of coupled oscillators and phase reduction techniques
published pages: , ISSN: 0370-1573, DOI: 10.1016/j.physrep.2019.06.001
Physics Reports 2020-04-09
2019 Marc G. Leguia, Zoran Levnajić, Ljupčo Todorovski, Bernard Ženko
Reconstructing dynamical networks via feature ranking
published pages: 93107, ISSN: 1054-1500, DOI: 10.1063/1.5092170
Chaos: An Interdisciplinary Journal of Nonlinear Science 29/9 2020-04-09
2018 Marco Faggian, Francesco Ginelli, Francesco Marino, Giovanni Giacomelli
Evidence of a Critical Phase Transition in Purely Temporal Dynamics with Long-Delayed Feedback
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.120.173901
Physical Review Letters 120/17 2020-04-09
2018 Eero Satuvuori, Mario Mulansky, Andreas Daffertshofer, Thomas Kreuz
Using spike train distances to identify the most discriminative neuronal subpopulation
published pages: , ISSN: 0165-0270, DOI: 10.1016/j.jneumeth.2018.09.008
Journal of Neuroscience Methods 2020-04-09
2018 Gemma Lancaster, Dmytro Iatsenko, Aleksandra Pidde, Valentina Ticcinelli, Aneta Stefanovska
Surrogate data for hypothesis testing of physical systems
published pages: 1-60, ISSN: 0370-1573, DOI: 10.1016/j.physrep.2018.06.001
Physics Reports 748 2020-04-09
2018 Rok Cestnik, Michael Rosenblum
Inferring the phase response curve from observation of a continuously perturbed oscillator
published pages: 13606, ISSN: 2045-2322, DOI: 10.1038/s41598-018-32069-y
Scientific Reports 8/1 2020-04-09
2018 Gloria Cecchini, Björn Schelter
Analytical approach to network inference: Investigating degree distribution
published pages: 22311, ISSN: 2470-0045, DOI: 10.1103/physreve.98.022311
Physical Review E 98/2 2020-04-09
2018 Giulia Cencetti, Pau Clusella, Duccio Fanelli
Pattern invariance for reaction-diffusion systems on complex networks
published pages: , ISSN: 2045-2322, DOI: 10.1038/s41598-018-34372-0
Scientific Reports 8/1 2020-04-09
2018 Federico Devalle, Ernest Montbrió, Diego Pazó
Dynamics of a large system of spiking neurons with synaptic delay
published pages: 42214, ISSN: 2470-0045, DOI: 10.1103/physreve.98.042214
Physical Review E 98/4 2020-04-09
2018 Ralph G. Andrzejak, Giulia Ruzzene, Irene Malvestio, Kaspar Schindler, Eckehard Schöll, Anna Zakharova
Mean field phase synchronization between chimera states
published pages: 91101, ISSN: 1054-1500, DOI: 10.1063/1.5049750
Chaos: An Interdisciplinary Journal of Nonlinear Science 28/9 2020-04-09
2019 Marc G. Leguia, Cristina G. B. Martínez, Irene Malvestio, Adrià Tauste Campo, Rodrigo Rocamora, Zoran Levnajić, Ralph G. Andrzejak
Inferring directed networks using a rank-based connectivity measure
published pages: , ISSN: 2470-0045, DOI: 10.1103/physreve.99.012319
Physical Review E 99/1 2020-04-09
2018 Bastian Pietras, Nicolás Deschle, Andreas Daffertshofer
First-order phase transitions in the Kuramoto model with compact bimodal frequency distributions
published pages: , ISSN: 2470-0045, DOI: 10.1103/physreve.98.062219
Physical Review E 98/6 2020-04-09
2017 Clement Zankoc, Duccio Fanelli, Francesco Ginelli, Roberto Livi
Intertangled stochastic motifs in networks of excitatory-inhibitory units
published pages: , ISSN: 2470-0045, DOI: 10.1103/PhysRevE.96.022308
Physical Review E 96/2 2020-04-09
2017 Irene Malvestio, Thomas Kreuz, Ralph G. Andrzejak
Robustness and versatility of a nonlinear interdependence method for directional coupling detection from spike trains
published pages: , ISSN: 2470-0045, DOI: 10.1103/PhysRevE.96.022203
Physical Review E 96/2 2020-04-09
2017 Ralph G. Andrzejak, Giulia Ruzzene, Irene Malvestio
Generalized synchronization between chimera states
published pages: 53114, ISSN: 1054-1500, DOI: 10.1063/1.4983841
Chaos: An Interdisciplinary Journal of Nonlinear Science 27/5 2020-04-09
2016 Bastian Pietras, Nicolás Deschle, and Andreas Daffertshofer
Equivalence of coupled networks and networks with multimodal frequency distributions: Conditions for the bimodal and trimodal case
published pages: 52211, ISSN: 1539-3755, DOI: 10.1103/PhysRevE.94.052211
Physical Review E 94 2020-04-09
2017 Eero Satuvuori, Mario Mulansky, Nebojsa Bozanic, Irene Malvestio, Fleur Zeldenrust, Kerstin Lenk, Thomas Kreuz
Measures of spike train synchrony for data with multiple time scales
published pages: 25-38, ISSN: 0165-0270, DOI: 10.1016/j.jneumeth.2017.05.028
Journal of Neuroscience Methods 287 2020-04-09
2017 Rok Cestnik, Michael Rosenblum
Reconstructing networks of pulse-coupled oscillators from spike trains
published pages: 12209, ISSN: 2470-0045, DOI: 10.1103/PhysRevE.96.012209
Physical Review E 96/1 2020-04-09
2016 Pau Clusella, Peter Grassberger, Francisco J. Pérez-Reche, and Antonio Politi
Immunization and Targeted Destruction of Networks using Explosive Percolation
published pages: 208301, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.117.208301
Physics Review Letters 117 2020-04-09
2017 Thomas Kreuz, Eero Satuvuori, Martin Pofahl, Mario Mulansky
Leaders and followers: quantifying consistency in spatio-temporal propagation patterns
published pages: 43028, ISSN: 1367-2630, DOI: 10.1088/1367-2630/aa68c3
New Journal of Physics 19/4 2020-04-09
2016 Bastian Pietras, Andreas Daffertshofer
Ott-Antonsen attractiveness for parameter-dependent oscillatory networks
published pages: 103101, ISSN: 1054-1500, DOI: 10.1063/1.4963371
Chaos 26 2020-04-09
2017 Marc G Leguia, Ralph G Andrzejak, Zoran Levnajić
Evolutionary optimization of network reconstruction from derivative-variable correlations
published pages: 334001, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa7925
Journal of Physics A: Mathematical and Theoretical 50/33 2020-04-09
2017 Clément Zankoc, Tommaso Biancalani, Duccio Fanelli, Roberto Livi
Diffusion approximation of the stochastic Wilson–Cowan model
published pages: 504-512, ISSN: 0960-0779, DOI: 10.1016/j.chaos.2017.07.010
Chaos, Solitons & Fractals 103 2020-04-09
2017 Pau Clusella, Antonio Politi
Noise-induced stabilization of collective dynamics
published pages: 62221, ISSN: 2470-0045, DOI: 10.1103/PhysRevE.95.062221
Physical Review E 95/6 2020-04-09
2016 Pau Clusella, Antonio Politi and Michael Rosenblum
A minimal model of self-consistent partial synchrony
published pages: , ISSN: 1367-2630, DOI: 10.1088/1367-2630/18/9/093037
New Journal of Physics 2020-04-09
2017 Thomas Kreuz, Eero Satuvuori, Mario Mulansky
published pages: 42441, ISSN: 1941-6016, DOI: 10.4249/scholarpedia.42441
Scholarpedia 12/7 2020-04-09
2019 Clément Zankoc, Duccio Fanelli, Francesco Ginelli, Roberto Livi
Desynchronization and pattern formation in a noisy feed-forward oscillator network
published pages: , ISSN: 2470-0045, DOI: 10.1103/physreve.99.012303
Physical Review E 99/1 2020-04-09
2018 Çağdaş Topçu, Matthias Frühwirth, Maximilian Moser, Michael Rosenblum, Arkady Pikovsky
Disentangling respiratory sinus arrhythmia in heart rate variability records
published pages: 54002, ISSN: 1361-6579, DOI: 10.1088/1361-6579/aabea4
Physiological Measurement 39/5 2020-04-09
2018 Gloria Cecchini, Marco Thiel, Björn Schelter, Linda Sommerlade
Improving network inference: The impact of false positive and false negative conclusions about the presence or absence of links
published pages: 31-36, ISSN: 0165-0270, DOI: 10.1016/j.jneumeth.2018.06.011
Journal of Neuroscience Methods 307 2020-04-09
2018 Eero Satuvuori, Thomas Kreuz
Which spike train distance is most suitable for distinguishing rate and temporal coding?
published pages: , ISSN: 0165-0270, DOI: 10.1016/j.jneumeth.2018.02.009
Journal of Neuroscience Methods 2020-04-09
2017 Duccio Fanelli, Francesco Ginelli, Roberto Livi, Niccoló Zagli, Clement Zankoc
Noise-driven neuromorphic tuned amplifier
published pages: , ISSN: 2470-0045, DOI: 10.1103/physreve.96.062313
Physical Review E 96/6 2020-04-09
2018 Andreas Daffertshofer, Robert Ton, Bastian Pietras, Morten L. Kringelbach, Gustavo Deco
Scale-freeness or partial synchronization in neural mass phase oscillator networks: Pick one of two?
published pages: , ISSN: 1053-8119, DOI: 10.1016/j.neuroimage.2018.03.070
NeuroImage 2020-04-09
2018 Maxime Lucas, Julian Newman, Aneta Stefanovska
Stabilization of dynamics of oscillatory systems by nonautonomous perturbation
published pages: , ISSN: 2470-0045, DOI: 10.1103/physreve.97.042209
Physical Review E 97/4 2020-04-09
2018 Maxime Lucas, Duccio Fanelli, Timoteo Carletti, Julien Petit
Desynchronization induced by time-varying network
published pages: 50008, ISSN: 0295-5075, DOI: 10.1209/0295-5075/121/50008
EPL (Europhysics Letters) 121/5 2020-04-09
2017 Federico Devalle, Alex Roxin, Ernest Montbrió
Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks
published pages: e1005881, ISSN: 1553-7358, DOI: 10.1371/journal.pcbi.1005881
PLOS Computational Biology 13/12 2020-04-09

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