48 citations · 316 across the 24 of their papers we have counts for
15 papers · 1 filter
Route to Chaos in Multi-Species Ecosystems
Robin Delabays, Philippe Jacquod
We investigate species-rich mathematical models of ecosystems. While much of the existing literature focuses on the properties of equilibrium fixed points, persistent dynamics (e.g…
Locating the source of forced oscillations in transmission power grids
Robin Delabays, Andrey Y. Lokhov, Melvyn Tyloo +1
Forced oscillation event in power grids refers to a state where malfunctioning or abnormally operating equipment causes persisting periodic disturbances in the system. While power…
Locating fast-varying line disturbances with the frequency mismatch
Robin Delabays, Laurent Pagnier, Melvyn Tyloo
In an attempt to provide an efficient method for line disturbance identification in complex networks of diffusively coupled agents, we recently proposed to leverage the frequency m…
Multistability and anomalies in oscillator models of lossy power grids
Robin Delabays, Saber Jafarpour, Francesco Bullo
The analysis of dissipatively coupled oscillators is challenging and highly relevant in power grids. Standard mathematical methods are not applicable, due to the lack of network sy…
System Size Identification from Sinusoidal Probing in Diffusive Complex Networks
Melvyn Tyloo, Robin Delabays
One of the most fundamental characteristic of a complex system is its size (or volume), which, in many modelling, is represented by the number of its individual components. Complex…
Reconstructing Network Structures from Partial Measurements
Melvyn Tyloo, Robin Delabays, Philippe Jacquod
The dynamics of systems of interacting agents is determined by the structure of their coupling network. The knowledge of the latter is, therefore, highly desirable, for instance, t…
Clusterization and phase diagram of the bimodal Kuramoto model with bounded confidence
André Reggio, Robin Delabays, Philippe Jacquod
Inspired by the Deffuant and Hegselmann-Krause models of opinion dynamics, we extend the Kuramoto model to account for confidence bounds, i.e., vanishing interactions between pairs…
Dynamical equivalence between Kuramoto models with first- and higher-order coupling
Robin Delabays
The Kuramoto model with high-order coupling has recently attracted some attention in the field of coupled oscillators in order, for instance, to describe clustering phenomena in se…
Rate of change of frequency under line contingencies in high voltage electric power networks with uncertainties
Robin Delabays, Melvyn Tyloo, Philippe Jacquod
In modern electric power networks with fast evolving operational conditions, assessing the impact of contingencies is becoming more and more crucial. Contingencies of interest can…
Noise-Induced Desynchronization and Stochastic Escape from Equilibrium in Complex Networks
Melvyn Tyloo, Robin Delabays, Philippe Jacquod
Complex physical systems are unavoidably subjected to external environments not accounted for in the set of differential equations that models them. The resulting perturbations are…
The Kuramoto model on oriented and signed graphs
Robin Delabays, Philippe Jacquod, Florian Dörfler
Many real-world systems of coupled agents exhibit directed interactions, meaning that the influence of an agent on another is not reciprocal. Furthermore, interactions usually do n…
The Size of the Sync Basin Revisited
Robin Delabays, Melvyn Tyloo, Philippe Jacquod
In dynamical systems, the full stability of fixed point solutions is determined by their basin of attraction. Characterizing the structure of these basins is, in general, a complic…
Finite Size Scaling in the Kuramoto Model
Tommaso Coletta, Robin Delabays, Philippe Jacquod
We investigate the scaling properties of the order parameter and the largest nonvanishing Lyapunov exponent for the fully locked state in the Kuramoto model with a finite number $N…
Multistability of Phase-Locking in Equal-Frequency Kuramoto Models on Planar Graphs
Robin Delabays, Tommaso Coletta, Philippe Jacquod
The number of stable fixed points of locally coupled Kuramoto models depends on the topology of the network on which the model is defined. It has been shown that cycl…
Multistability of Phase-Locking and Topological Winding Numbers in Locally Coupled Kuramoto Models on Single-Loop Networks
Robin Delabays, Tommaso Coletta, Philippe Jacquod
Determining the number of stable phase-locked solutions for locally coupled Kuramoto models is a long-standing mathematical problem with important implications in biology, condense…