4 citations · 7 across the 3 of their papers we have counts for
3 papers
Unfoldings of singular Hopf bifurcation
John Guckenheimer, Philipp Meerkamp
Singular Hopf bifurcation occurs in generic families of vector-fields with two slow variables and one fast variable. Normal forms for this bifurcation depend upon several parameter…
Dissecting the Phase Response of a Model Bursting Neuron
William Erik Sherwood, John Guckenheimer
We investigate the phase response properties of the Hindmarsh-Rose model of neuronal bursting using burst phase response curves (BPRCs) computed with an infinitesimal perturbation…
Estimating degrees of freedom in motor systems
Robert H. Clewley, John M. Guckenheimer, Francisco J. Valero-Cuevas
Studies of the degrees of freedom or "synergies" in musculoskeletal systems rely critically on algorithms to estimate the "dimension" of kinematic or neural data. Linear algorithms…