My research  Publications  JPhys Complexity  CCS 2021  GeoCoW 2020
About me
After obtaining my Master's degree in Mathematics at the University of Geneva, I started a Ph.D. at the University of Applied Sciences of Western Switzerland (HESSO) in Sion (CH), under supervision of
Prof. Philippe Jacquod.
Our interest in the stability of power grids led us to investigate the phenomenon of synchronization of newtorked agents, and in particular the conditions for the existence of multiple synchronous states in such a system.
After graduating in May 2018, I stayed in Sion as a postdoc, with frequent interactions with
Prof. Florian Dörfler
at ETH Zurich.
Most of my work since then aims at a better understanding of the interplay between network structures and dynamics in systems of coupled dynamics agents.
In 2019, I had the opportunity to visit the
Center for Nonlinear Studies
(CNLS) at the Los Alamos National Laboratory (LANL).
There, my work with
Andrey Lokhov
and
Marc Vuffray
was directed towards the localization of disturbances in highvoltage power grids.
In 2020, I have been granted a Postdoc.Mobility grant from the Swiss National Science Foundation.
This funding allowed me to work for two years in the group of
Prof. Francesco Bullo
at the University of California in Santa Barbara.
We managed to extend our understanding of multistability in networks of coupled oscillators to dissipative systems.
Since August 2022, I am an Assistant Professor at the School of Engineering of the University of Applied Sciences of Western Switzerland (HESSO), in Sion (CH).
I am teach mathematics young engineers and pursuing my research on the interplay between network structures and dynamical systems, with special focus on power grids.
In 2023, I have been invited to join the association
La Matrice,
whose purpose is to promote sciences and mathematics, through the prism of feminism and sustainability.
A more formal CV, including a list of publications, can be found
here.
Recent occupations at a glance:
Since Aug. 2022: Assistant Professor at HESSO.
Oct. 2020  Aug. 2022: Postdoc at UCSB with Prof. F. Bullo.
Jun. 2018  Jul. 2020: Postdoc between HESSO and ETHZ with Profs. P. Jacquod and F. Dörfler.
Jul.  Aug. 2019: Visiting postdoc at LANL with A. Lokhov and M. Vuffray.
Dec. 2014  May 2018: PhD at HESSO with Prof. P. Jacquod.
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My research
Working on the stability of electrical networks with a mathematical background naturally led me to investigate the relation between dynamical systems and complex networks.
On one hand, it is clear that the network structure underlying a dynamical system influences its dynamics.
Determining the impact of some network structures on the dynamics of a system is still an ongoing field of research.
On the other hand, if the underlying network is unkown, observations of the system can give enough information to recover some characteristics of the network.
Such an approach aims at learning the underlying system from measurements data.
Currently, my research interests cover the two faces of this coin.
In particular, with
P. Jacquod,
T. Coletta,
and
M. Tyloo,
we showed how the number and size of cycles in a network of dynamical agents influence the number of equilibria of the whole system.
More recently, with
F. Bullo
and
S. Jafarpour,
we extended the analysis of networked coupled oscillators to systems with dissipative or lossy couplings.
Looking at the other side of the problem, with
P. Jacquod,
L. Pagnier,
and
M. Tyloo,
we proposed some methods to leverage the information included in measurements in order to recover the underlying network structure or the source of a disturbance in a dynamical system.
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Publications
A pdf version of my list of publication is available in
my CV.
All manuscripts are available on the
arXiv.
Preprints
Peerreviewed

R. Delabays and F. Bullo,
Semicontraction and Synchronization of KuramotoSakaguchi Oscillator Networks,
IEEE Control Syst. Lett. 7, 1566 (2023).
DOI: 10.1109/LCSYS.2023.3275169
 arXiv: 2303.10127

T. T. Nguyen, R. C. Budzinski, F. W. Pasini, R. Delabays, J. Mináč, and L. E. Muller,
Broadcasting solutions on networked systems of phase oscillators,
Chaos Solitons Fractals 168, 113166 (2023).
DOI: 10.1016/j.chaos.2023.113166
 arXiv: 2209.05970

R. Delabays, S. Jafarpour, and F. Bullo,
Multistability and anomalies in oscillator models of lossy power grids,
Nat. Commun. 13, 5238 (2022).
DOI: 10.1038/s41467022329318
 arXiv: 2202.02439

R. Delabays and M. Tyloo,
Heavytailed distribution of the number of papers within scientific journals,
Quant. Sci. Studies 3, 776 (2022).
DOI: 10.1162/qss_a_00201
 arXiv: 2011.05703

R. Delabays, L. Pagnier, and M. Tyloo,
Locating fastvarying line disturbances with the frequency mismatch,
IFACPapersOnLine 55, 270 (2022).
DOI: 10.1016/j.ifacol.2022.07.271
 arXiv: 2202.08317

M. Tyloo, R. Delabays, and P. Jacquod,
Reconstructing network structures from partial measurements,
Chaos 31, 103117 (2021).
DOI: 10.1063/5.0058739
 arXiv: 2007.16136

R. Delabays and M. Tyloo,
Network Inference using Sinusoidal Probing,
IFACPapersOnLine 54, 696 (2021).
DOI: 10.1016/j.ifacol.2021.06.131
 arXiv: 2002.00490

R. Delabays, L. Pagnier, and M. Tyloo,
Locating line and node disturbances in networks of diffusively coupled dynamical agents,
New J. Phys. 23, 043037 (2021).
DOI: 10.1088/13672630/abf54b
 arXiv: 2003.08786

M. Tyloo and R. Delabays,
System size identification from sinusoidal probing in diffusive complex networks,
J. Phys. Complex. 2, 025016 (2021).
DOI: 10.1088/2632072X/abebd3
 arXiv: 2009.03824

A. Reggio, R. Delabays, and P. Jacquod,
Clusterization and phase diagram of the bimodal Kuramoto model with bounded confidence,
Chaos 30, 093134 (2020).
DOI: 10.1063/5.0020436
 arXiv: 1906.05698

R. Delabays,
Dynamical equivalence between Kuramoto models with first and higherorder coupling,
Chaos 29, 113129 (2019).
DOI: 10.1063/1.5118941
 arXiv: 1907.03699

R. Delabays, M. Tyloo, and P. Jacquod,
Rate of change of frequency under line contingencies in high voltage electric power networks with uncertainties,
Chaos 29, 103130 (2019).
DOI: 10.1063/1.5115002
 arXiv: 1906.05698

M. Tyloo, R. Delabays, and P. Jacquod,
Noiseinduced desynchronization and stochastic escape from equilibrium in complex networks,
Phys. Rev. E 99, 062213 (2019).
DOI: 10.1103/PhysRevE.99.062213
 arXiv: 1812.09497

D. Cimasoni and R. Delabays,
The topological hypothesis for discrete spin models,
J. Stat. Mech. 2019 (2019).
DOI: 10.1088/17425468/ab0c14
 arXiv: 1811.10263

R. Delabays, P. Jacquod, and F. Dörfler,
The Kuramoto Model on Oriented and Signed Graphs,
SIAM J. Appl. Dyn. Syst. 18, 458 (2019).
DOI: 10.1137/18M1203055
 arXiv: 1807.11410

R. Delabays, M. Tyloo, and P. Jacquod,
The size of the sync basin revisited,
Chaos 27, 103109 (2017).
DOI: 10.1063/1.4986156
 arXiv: 1706.00344

T. Coletta, R. Delabays, and P. Jacquod,
Finitesize scaling in the Kuramoto model,
Phys. Rev. E 95, 103117 (2017).
DOI: 10.1103/PhysRevE.95.042207
 arXiv: 1612.07031

R. Delabays, T. Coletta, and P. Jacquod,
Multistability of phaselocking in equalfrequency Kuramoto models on planar graphs,
J. Math. Phys. 58, 032703 (2017).
DOI: 10.1063/1.4978697
 arXiv: 1609.02359

T. Coletta, R. Delabays, I. Adagideli, and P. Jacquod,
Topologically protected loop flows in high voltage AC power grids,
New. J. Phys. 18, 103042 (2016).
DOI: 10.1088/13672630/18/10/103042
 arXiv: 1605.07925

R. Delabays, T. Coletta, and P. Jacquod,
Multistability of phaselocking and topological winding numbers in locally coupled Kuramoto models on singleloop networks,
J. Math. Phys. 57, 032701 (2016).
DOI: 10.1063/1.4943296
 arXiv: 1512.04266

T. Coletta, R. Delabays, L. Pagnier, and P. Jacquod,
Large Electric Load Fluctuations in Energyefficient Buildings and how to Suppress them with Demand Side Management,
IEEE PES ISGT Conf. Europe (2016).
DOI: 10.1109/ISGTEurope.2016.7856328
Softwares

R. Delabays, A. Y. Lokhov, M. Tyloo, and M. Vuffray,
SALO: SystemAgnostic Localization of Oscillatons, GitHub (2022).
URL: github.com/lanlansi/SALO

R. Delabays,
ADGenerator: Authors Distribution Generator (v1.1), Zenodo (2022).
DOI: 10.5281/zenodo.6030302

R. Delabays,
DFNSolver: Dissipative Flow Networks Solver (v1.2), Zenodo (2022).
DOI: 10.5281/zenodo.5899407
Published peer reviews

R. West and S. Michie,
How many papers are published each week reporting on trials of interventions involving behavioural aspects of health?, Qeios, (2023).
DOI: 10.32388/K2VMTL
Talks and posters
All conference material is under CCBY license.

Sep. 13  15, 2022: SIAM Network Science Workshop 2022, Online.
Talk: Complex networks of lossy oscillators: Multistability, anomalies, and loop flows in power grids.

Jul. 13  15, 2022: Autonomous Energy Systems Workshop, NREL, Golden (CO), USA.
Poster: Locating the source of forced oscillations: A systemagnostic approach.

Jul. 5  7, 2022: NecSys 2022, Zurich, Switzerland.
Poster: Locating fastvarying line disturbances with the frequency mismatch.

Apr. 27, 2022: CNLS Seminar, Los Alamos National Laboratory (NM), USA.
Talk: From undirected to directed diffusive networks of dynamical agents.

Apr. 20, 2022: SFI Seminar, Santa Fe Institute (NM), USA.
Talk: From undirected to directed diffusive networks of dynamical agents.

Oct. 25  29, 2021: Conference on Complex Systems 2021, Lyon, France.
Talk: Flow Network Problems on the ntorus with Asymmetric Couplings.

Jul. 5  10, 2021: Networks 2021, Online.
Talk: Reconstructing Network Structures from Partial Measurements.

Jan. 11  15, 2021: Grid Science Conference 2021, Online, hosted by Los Alamos National Laboratory (NM), USA.
Poster: Reconstructing Network Structures from Partial Measurements.

Nov. 4  8, 2019: Network Dynamics in the Social, Economic, and Financial Sciences, Torino, Italy.
Talk: Robustness of Election Results Against External Influence.

Sep. 23  26, 2019: International Workshop on Complex Systems and Networks, Berlin, Germany.
Talk: Rate of Change of Frequency under Line Contingencies.

Feb 3  8, 2019: Future Electric Power Systems, Champéry, Switzerland.
Poster: Bounding the Desynchronization Time in Electrical Grids under Fluctuating Sources.

Jan. 18, 2019: CCDC Seminar, Santa Barbara (CA), USA.
Talk: Bounding the Destabilization Time in Networks of Noisy Oscillators.

Jan. 7  11, 2019: Grid Science Conference, Santa Fe (NM), USA.
Poster: Bounding the Desynchronization Time in Electrical Grids under Fluctuating Sources.

Sep. 3  7, 2018: Dynamics Days Europe, Loughborough, UK.
Talk: Multistability in Electric Power Grids on Meshed, Complex Networks.

Jan. 29  31, 2018: WEHereaus Seminar, Bad Honnef, Germany.
Poster: The Size of the Sync Basin Revisited.

Sep. 3  8, 2017: International School on Energy Systems, Kloster Seeon, Germany.
Poster: Topologically Protected Loop Flows in High Voltage AC Power Grids.

Feb. 5  9, 2017: Future Electric Power Systems, Champéry, Switzerland.
Talk: Loop Flows and the Number of Power Flow Solutions in Meshed Electric Power Grids.

Jan. 8  13, 2017: Grid Science Conference, Santa Fe (NM), USA.
Poster: Multistability of PhaseLocking and Vortices in Locally Coupled Kuramoto Models.

Jun. 6  10, 2016 Dynamics Days Europe, Corfu, Greece.
Talk: Multistability of PhaseLocking and Topological Winding Numbers in Locally Coupled Kuramoto Models.
Ph.D. Thesis
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Journal of Physics: Complexity  Focus Issue
From April 2022 to April 2023, I was a Guest Editor for Journal of Physics: Complexity.
I was collaborating with
Laurent Pagnier (University of Arizona),
Benjamin Schäfer (Karlsruhe Institute of Technology),
Melvyn Tyloo (Los Alamos National Laboratory),
and
Dirk Witthaut (Forschungszentrum Jülich)
on the Focus Issue
Monitoring and control of complex supply systems.
The topics covered were:
 Complex systems state estimation;
 Network inference techniques;
 Learning and control of supply networks;
 Disturbance identification and mitigation.
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CCS 2021  Satellite Symposium
In October 2021, I coorganized the Satellite Symposium
Databased Diagnosis of Networked Dynamical Systems
at the
Conference on Complex Systems
in Lyon, with L. Pagnier and M. Tyloo.
We had a great panel of speakers, both onsite and online.
It was really nice to attend live talks again.
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GeoCoW 2020
From February 2nd to 5th, 2020, I coorganized the workshop Geometry of Complex Webs (GeoCoW) with Matthieu Jacquemet (HESSO and UniFR) and Christian Mazza (UniFR).
It took place in the nice alpine village of Les Diablerets, Switzerland.
We gathered speakers and attendees from broad backgrounds, ranging from pure mathematicians to engineers, including physicists, life scientists, and computer scientists.
The aim of this workshop was to encourage people from different field to interact around the interdisciplinary topic of complex networks and see opportunities for new and rich collaborations.
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