108 citations · 512 across the 23 of their papers we have counts for
6 papers · 1 filter
Key bifurcations of bursting polyrhythms in 3-cell central pattern generators
Jeremy Wojcik, Robert Clewley, Justus Schwabedal +1
We identify and describe the key qualitative rhythmic states in various 3-cell network motifs of a multifunctional central pattern generator (CPG). Such CPGs are neural microcircui…
Showcase of Blue Sky Catastrophes
Leonid Shilnikov, Andrey Shilnikov, Dmitry Turaev
Let a system of differential equations possess a saddle-node periodic orbit such that every orbit in its unstable manifold is homoclinic, i.e. the unstable manifold is a subset of…
Voltage interval mappings for an elliptic bursting model
Jeremy Wojcik, Andrey Shilnikov
We employed Poincaré return mappings for a parameter interval to an exemplary elliptic bursting model, the FitzHugh-Nagumo-Rinzel model. Using the interval mappings, we were able t…
Symbolic Toolkit for Chaos Explorations
Tingli Xing, Jeremy Wojcik, Roberto Barrio +1
New computational technique based on the symbolic description utilizing kneading invariants is used for explorations of parametric chaos in a two exemplary systems with the Lorenz…
Computational quest for Kaos-land
Tingli Xing, Jeremy Wojcik, Michael A. Zaks +1
Using bi-parametric sweeping based on symbolic representation we reveal self-similar fractal structures induced by hetero- and homoclinic bifurcations of saddle singularities in th…
Toward robust phase-locking in Melibe swim central pattern generator models
Sajiya Jalil, Dane Allen, Joe Youker +1
Small groups of interneurons, abbreviated by CPG for central pattern generators, are arranged into neural networks to generate a variety of core bursting rhythms with specific phas…