4 papers
Predicting the occurrence of Braess paradox in the synchronization threshold of coupled oscillator systems
Justin Arches, Emmanuel Fleurantin, Matt Holzer +2
We study Braess-type paradoxes in coupled oscillator networks where the addition of an edge to the network leads to an increase in the critical coupling required for the existence…
Rate-Induced Tipping in a Non-Uniformly Moving Habitat and Determination of the Critical Rate
Blake Barker, Emmanuel Fleurantin, Matt Holzer +2
A habitat that is moving due to environmental change may result in tipping to extinction if the rate at which it moves is too great. We use a scalar reaction-diffusion equation wit…
On the Spectrum of Schrödinger Operators Interacting at Two Distinct Scales
Emmanuel Fleurantin, Jeremy L. Marzuola, Christopher K. R. T. Jones
Schrödinger operators of the form on , the space of radially symmetric square integrable functions are relevant in a variety of physical co…
Tipping mechanisms in a carbon cycle model
Katherine Slyman, Emmanuel Fleurantin, Christopher K. R. T. Jones
Rate-induced tipping (R-tipping) occurs when a ramp parameter changes rapidly enough to cause the system to tip between co-existing, attracting states, while noise-induced tipping…