Andrey Shilnikov

Orcid: 0000-0002-4879-4327

According to our database1, Andrey Shilnikov authored at least 25 papers between 2003 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Online presence:

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Bibliography

2021
(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model.
Commun. Nonlinear Sci. Numer. Simul., 2021

2020
Design Principles for Central Pattern Generators With Preset Rhythms.
IEEE Trans. Neural Networks Learn. Syst., 2020

2θ-Burster for Rhythm-Generating Circuits.
Frontiers Appl. Math. Stat., 2020

Computational exposition of multistable rhythms in 4-cell neural circuits.
Commun. Nonlinear Sci. Numer. Simul., 2020

2019
Digital Architecture to Realize Programmable Central Pattern Generators Producing Multiple Gaits.
Proceedings of the IEEE International Symposium on Circuits and Systems, 2019

2018
Design of Synthetic Central Pattern Generators Producing Desired Quadruped Gaits.
IEEE Trans. Circuits Syst. I Regul. Pap., 2018

Design of Minimal Synthetic Circuits with Sensory Feedback for Quadruped Locomotion.
Proceedings of the IEEE International Symposium on Circuits and Systems, 2018

2017
CEPAGE: A toolbox for Central Pattern Generator analysis.
Proceedings of the IEEE International Symposium on Circuits and Systems, 2017

2016
Mixed-mode synchronization between two inhibitory neurons with post-inhibitory rebound.
Commun. Nonlinear Sci. Numer. Simul., 2016

2015
Making a Swim Central Pattern Generator Out of Latent Parabolic Bursters.
Int. J. Bifurc. Chaos, 2015

2014
Symbolic Quest into Homoclinic Chaos.
Int. J. Bifurc. Chaos, 2014

Editorial - Leonid Pavlovich Shilnikov.
Int. J. Bifurc. Chaos, 2014

Showcase of Blue Sky Catastrophes.
Int. J. Bifurc. Chaos, 2014

2012
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos.
Int. J. Bifurc. Chaos, 2012

2009
Variability of bursting patterns in a neuron model in the presence of noise.
J. Comput. Neurosci., 2009

2008
Shilnikov saddle-node bifurcation.
Scholarpedia, 2008

Methods of the Qualitative Theory for the Hindmarsh-rose Model: a Case Study - a Tutorial.
Int. J. Bifurc. Chaos, 2008

2007
Blue-sky catastrophe.
Scholarpedia, 2007

Shilnikov bifurcation.
Scholarpedia, 2007

Applications of the Poincaré mapping technique to analysis of neuronal dynamics.
Neurocomputing, 2007

2005
Coexistence of Tonic Spiking Oscillations in a Leech Neuron Model.
J. Comput. Neurosci., 2005

How a neuron model can demonstrate co-existence of tonic spiking and bursting.
Neurocomputing, 2005

Slow-fast Dynamics Generated by Noninvertible Plane Maps.
Int. J. Bifurc. Chaos, 2005

2004
On Some Mathematical Topics in Classical Synchronization.: a Tutorial.
Int. J. Bifurc. Chaos, 2004

2003
Origin of Chaos in a Two-Dimensional Map Modeling Spiking-bursting Neural Activity.
Int. J. Bifurc. Chaos, 2003


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