88 citations
- École Polytechnique Fédérale de LausanneCH13 papers
- HES-SO University of Applied Sciences and Arts Western SwitzerlandCH11 papers
- University of GenevaCH10 papers
- University of LausanneCH8 papers
- University of BolognaIT6 papers
- Automatic Control LaboratoryCH5 papers
- Collegio Carlo AlbertoIT5 papers
- The Sense Innovation and Research CenterCH5 papers
- ETH ZurichCH4 papers
- University of California, Santa BarbaraUS4 papers
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6 papers · 1 filter
Complex solutions and stationary scattering for the nonlinear Helmholtz equation
Huyuan Chen, Gilles Evéquoz, Tobias Weth
We study a stationary scattering problem related to the nonlinear Helmholtz equation $-Δu - k^2 u = f(x,u) \ \ \text{in $\mathbb{R}^N$,}$ where and . For a given inc…
A Laplacian Approach to Stubborn Agents and their Role in Opinion Formation on Influence Networks
Fabian Baumann, Igor. M Sokolov, Melvyn Tyloo
Within the framework of a simple model for social influence, the Taylor model, we analytically investigate the role of stubborn agents in the overall opinion dynamics of networked…
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…
Global Robustness vs. Local Vulnerabilities in Complex Synchronous Networks
Melvyn Tyloo, Philippe Jacquod
In complex network-coupled dynamical systems, two questions of central importance are how to identify the most vulnerable components and how to devise a network making the overall…
Network desynchronization by non-Gaussian fluctuations
Jason Hindes, Philippe Jacquod, Ira B. Schwartz
Many networks must maintain synchrony despite the fact that they operate in noisy environments. Important examples are stochastic inertial oscillators, which are known to exhibit f…