Origin of Chaos in a Two-Dimensional Map Modeling Spiking-bursting Neural Activity. - Andrey L. Shilnikov; Nikolai F. Rulkov (Int. J. Bifurc. Chaos, 2003)

On Some Mathematical Topics in Classical Synchronization.: a Tutorial. - Andrey Shilnikov; Leonid Pavlovich Shilnikov; Dmitry Turaev (Int. J. Bifurc. Chaos, 2004)

Slow-fast Dynamics Generated by Noninvertible Plane Maps. - Christian Mira; Andrey Shilnikov (Int. J. Bifurc. Chaos, 2005)

How a neuron model can demonstrate co-existence of tonic spiking and bursting. - Gennady S. Cymbalyuk; Ronald L. Calabrese; Andrey L. Shilnikov (Neurocomputing, 2005)

Coexistence of Tonic Spiking Oscillations in a Leech Neuron Model. - Gennady S. Cymbalyuk; Andrey L. Shilnikov (J. Comput. Neurosci., 2005)

Applications of the Poincaré mapping technique to analysis of neuronal dynamics. - Paul Channell Jr.; Gennady S. Cymbalyuk; Andrey L. Shilnikov (Neurocomputing, 2007)

Shilnikov bifurcation. - Leonid Pavlovich Shilnikov; Andrey Shilnikov (Scholarpedia, 2007)

Blue-sky catastrophe. - Andrey Shilnikov; Dmitry Turaev (Scholarpedia, 2007)

Methods of the Qualitative Theory for the Hindmarsh-rose Model: a Case Study - a Tutorial. - Andrey Shilnikov; Marina Kolomiets (Int. J. Bifurc. Chaos, 2008)

Shilnikov saddle-node bifurcation. - Leonid Pavlovich Shilnikov; Andrey Shilnikov (Scholarpedia, 2008)

Variability of bursting patterns in a neuron model in the presence of noise. - Paul Channell Jr.; Ibiyinka A. Fuwape; Alexander B. Neiman; Andrey L. Shilnikov (J. Comput. Neurosci., 2009)

Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. - Roberto Barrio; Andrey Shilnikov; Leonid Pavlovich Shilnikov (Int. J. Bifurc. Chaos, 2012)

Showcase of Blue Sky Catastrophes. - Leonid Pavlovich Shilnikov; Andrey L. Shilnikov; Dmitry Turaev (Int. J. Bifurc. Chaos, 2014)

Editorial - Leonid Pavlovich Shilnikov. - Andrey L. Shilnikov; D. V. Turaev; L. M. Lerman; Valentin S. Afraimovich; Sergey V. Gonchenko; L. A. Belyakov (Int. J. Bifurc. Chaos, 2014)

Symbolic Quest into Homoclinic Chaos. - Tingli Xing; Roberto Barrio; Andrey Shilnikov (Int. J. Bifurc. Chaos, 2014)

Making a Swim Central Pattern Generator Out of Latent Parabolic Bursters. - Deniz Alaçam; Andrey Shilnikov (Int. J. Bifurc. Chaos, 2015)

Mixed-mode synchronization between two inhibitory neurons with post-inhibitory rebound. - Roman Nagornov; Grigory V. Osipov; Maxim Komarov; Arkady Pikovsky; Andrey Shilnikov (Commun. Nonlinear Sci. Numer. Simul., 2016)

CEPAGE: A toolbox for Central Pattern Generator analysis. - Matteo Lodi; Andrey Shilnikov; Marco Storace (ISCAS, 2017)

Design of Minimal Synthetic Circuits with Sensory Feedback for Quadruped Locomotion. - Matteo Lodi; Andrey Shilnikov; Marco Storace (ISCAS, 2018)

Design of Synthetic Central Pattern Generators Producing Desired Quadruped Gaits. - Matteo Lodi; Andrey Shilnikov; Marco Storace (IEEE Trans. Circuits Syst. I Regul. Pap., 2018)

Digital Architecture to Realize Programmable Central Pattern Generators Producing Multiple Gaits. - Matteo Lodi; Andrey Shilnikov; Marco Storace (ISCAS, 2019)

Computational exposition of multistable rhythms in 4-cell neural circuits. - Krishna Pusuluri; Sunitha Basodi; Andrey Shilnikov (Commun. Nonlinear Sci. Numer. Simul., 2020)

2θ-Burster for Rhythm-Generating Circuits. - Aaron Kelley; Andrey Shilnikov (Frontiers Appl. Math. Stat., 2020)

Design Principles for Central Pattern Generators With Preset Rhythms. - Matteo Lodi; Andrey L. Shilnikov; Marco Storace (IEEE Trans. Neural Networks Learn. Syst., 2020)

(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. - Krishna Pusuluri; Hil G. E. Meijer; Andrey L. Shilnikov (Commun. Nonlinear Sci. Numer. Simul., 2021)