108 citations · 512 across the 23 of their papers we have counts for
6 papers · 1 filter
Homoclinic chaos in the Rössler model
Semyon Malykh, Yuliya Bakhanov, Alexey Kazakov +2
We study the origin of homoclinic chaos in the classical 3D model proposed by O. Rössler in 1976. Of our particular interest are the convoluted bifurcations of the Shilnikov saddle…
2-burster for rhythm-generating circuits
Aaron Kelley, Andrey L. Shilnikov
We propose and demonstrate the use of a minimal 2 model for endogenous bursters coupled in 3-cell neural circuits. This 2 model offers the benefit of simplicity of designing…
Poincare return maps in neural dynamics: three examples
Marina L. Kolomiets, Andrey L. Shilnikov
Understanding of the onset and generic mechanisms of transitions between distinct patterns of activity in realistic models of individual neurons and neural networks presents a fund…
Dynamics and bifurcations in multistable 3-cell neural networks
J. Collens, K. Pusuluri, A. Kelly +5
We disclose the generality of the intrinsic mechanisms underlying multistability in reciprocally inhibitory 3-cell circuits composed of simplified, low-dimensional models of oscill…
Homoclinic puzzles and chaos in a nonlinear laser model
K. Pusuluri, H. G. E. Meijer, A. L. Shilnikov
We present a case study elaborating on the multiplicity and self-similarity of homoclinic and heteroclinic bifurcation structures in the 2D and 3D parameter spaces of a nonlinear l…
Generalized half-center oscillators with short-term synaptic plasticity
Valentina Baruzzi, Matteo Lodi, Marco Storace +1
How can we develop simple yet realistic models of the small neural circuits known as central pattern generators (CPGs), which contribute to generate complex multi-phase locomotion…