3 papers
nlin.PS2021
Steady State Statistics of Emergent Patterns in a Ring of Oscillators
Tiemo Pedergnana, Nicolas Noiray
Networks of coupled nonlinear oscillators model a broad class of physical, chemical and biological systems. Understanding emergent patterns in such networks is an ongoing effort wi…
physics.flu-dyn2019
Explicit Unsteady Navier-Stokes Solutions and their Analysis via Local Vortex Criteria
Tiemo Pedergnana, David Oettinger, Gabriel Provencher-Langlois +1
We construct a class of spatially polynomial velocity fields that are exact solutions of the planar unsteady Navier-Stokes equation. These solutions can be used as simple benchmark…
math.DS2018
Analytic Prediction of Isolated Forced Response Curves from Spectral Submanifolds
Sten Ponsioen, Tiemo Pedergnana, George Haller
We show how spectral submanifold theory can be used to provide analytic predictions for the response of periodically forced multi-degree-of-freedom mechanical systems. These predic…