171 citations · 411 across the 16 of their papers we have counts for
17 papers
Staying the course: Locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds
Juan M. Bello-Rivas, Anastasia Georgiou, John Guckenheimer +1
We introduce a method to successively locate equilibria (steady states) of dynamical systems on Riemannian manifolds. The manifolds need not be characterized by an a priori known a…
(Un)predictability of strong El Niño events
John Guckenheimer, Axel Timmermann, Henk Dijkstra +1
The El Niño-Southern Oscillation (ENSO) is a mode of interannual variability in the coupled equatorial Pacific coupled atmosphere/ocean system. El Niño describes a state in which s…
Intrinsic unpredictability of strong El Niño events
John Guckenheimer, Andrew Roberts, Axel Timmermann +1
The El Niño-Southern Oscillation (ENSO) is a mode of interannual variability in the coupled equatorial ocean/atmosphere Pacific. El Niño describes a state in which sea surface temp…
Mixed mode oscillations of the El Niño-Southern Oscillation
Andrew Roberts, Esther Widiasih, Axel Timmermann +2
Very strong El Niño events occur sporadically every 10-20 years. The origin of this bursting behavior still remains elusive. Using a simplified 3-dimensional dynamical model of the…
Roll Control in Fruit Flies
Tsevi Beatus, John M. Guckenheimer, Itai Cohen
Due to aerodynamic instabilities, stabilizing flapping flight requires ever-present fast corrective actions. Here we investigate how flies control body roll angle, their most susce…
Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations
John Guckenheimer, Ian Lizarraga
The Koper model is a three-dimensional vector field that was developed to study complex electrochemical oscillations arising in a diffusion process. Koper and Gaspard described par…