12 citations · 22 across the 8 of their papers we have counts for
8 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 con…
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…
Investigating Ocean Circulation Dynamics Through Data Assimilation: A Mathematical Study Using the Stommel Box Model with Rapid Oscillatory Forcings
Nathaniel Smith, Anvaya Shiney-Ajay, Emmanuel Fleurantin +1
We investigate ocean circulation changes through the lens of data assimilation using a reduced-order model. Our primary interest lies in the Stommel box model which reveals itself…
A Dynamical Systems Approach for Most Probable Escape Paths over Periodic Boundaries
Emmanuel Fleurantin, Katherine Slyman, Blake Barker +1
Analyzing when noisy trajectories, in the two dimensional plane, of a stochastic dynamical system exit the basin of attraction of a fixed point is specifically challenging when a p…
Resonant Tori, Transport Barriers, and Chaos in a Vector Field with a Neimark-Sacker Bifurcation
Emmanuel Fleurantin, Jason D. Mireles James
We make a detailed numerical study of a three dimensional dissipative vector field derived from the normal form for a cusp-Hopf bifurcation. The vector field exhibits a Neimark-Sac…
Computer Assisted Proofs of Attracting Invariant Tori for ODEs
Maciej J. Capinski, Emmanuel Fleurantin, Jason D. Mireles James
This work studies existence and regularity questions for attracting invariant tori in three dimensional dissipative systems of ordinary differential equations. Our main result is a…