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ORCIDAndrey Shilnikov
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Journal Articles
- 2021
[j22]Krishna Pusuluri, Hil G. E. Meijer, Andrey L. Shilnikov
:
(INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. Commun. Nonlinear Sci. Numer. Simul. 93: 105503 (2021)- 2020
- [j21]Krishna Pusuluri, Sunitha Basodi, Andrey Shilnikov:
Computational exposition of multistable rhythms in 4-cell neural circuits. Commun. Nonlinear Sci. Numer. Simul. 83: 105139 (2020) - [j20]Aaron Kelley, Andrey Shilnikov:
2θ-Burster for Rhythm-Generating Circuits. Frontiers Appl. Math. Stat. 6: 588904 (2020) - [j19]Matteo Lodi, Andrey L. Shilnikov, Marco Storace:
Design Principles for Central Pattern Generators With Preset Rhythms. IEEE Trans. Neural Networks Learn. Syst. 31(9): 3658-3669 (2020) - 2018
- [j18]Matteo Lodi, Andrey Shilnikov, Marco Storace:
Design of Synthetic Central Pattern Generators Producing Desired Quadruped Gaits. IEEE Trans. Circuits Syst. I Regul. Pap. 65-I(3): 1028-1039 (2018) - 2016
- [j17]Roman Nagornov, Grigory V. Osipov, Maxim Komarov, Arkady Pikovsky, Andrey Shilnikov:
Mixed-mode synchronization between two inhibitory neurons with post-inhibitory rebound. Commun. Nonlinear Sci. Numer. Simul. 36: 175-191 (2016) - 2015
- [j16]Deniz Alaçam, Andrey Shilnikov:
Making a Swim Central Pattern Generator Out of Latent Parabolic Bursters. Int. J. Bifurc. Chaos 25(7): 1540003:1-1540003:14 (2015) - 2014
- [j15]Leonid Pavlovich Shilnikov, Andrey L. Shilnikov, Dmitry Turaev:
Showcase of Blue Sky Catastrophes. Int. J. Bifurc. Chaos 24(8) (2014) - [j14]Andrey L. Shilnikov, D. V. Turaev, L. M. Lerman, Valentin S. Afraimovich, Sergey V. Gonchenko, L. A. Belyakov:
Editorial - Leonid Pavlovich Shilnikov. Int. J. Bifurc. Chaos 24(8) (2014) - [j13]Tingli Xing, Roberto Barrio, Andrey Shilnikov:
Symbolic Quest into Homoclinic Chaos. Int. J. Bifurc. Chaos 24(8) (2014) - 2012
- [j12]Roberto Barrio, Andrey Shilnikov, Leonid Pavlovich Shilnikov:
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. Int. J. Bifurc. Chaos 22(4) (2012) - 2009
- [j11]Paul Channell Jr., Ibiyinka A. Fuwape, Alexander B. Neiman, Andrey L. Shilnikov:
Variability of bursting patterns in a neuron model in the presence of noise. J. Comput. Neurosci. 27(3): 527-542 (2009) - 2008
- [j10]Andrey Shilnikov, Marina Kolomiets:
Methods of the Qualitative Theory for the Hindmarsh-rose Model: a Case Study - a Tutorial. Int. J. Bifurc. Chaos 18(8): 2141-2168 (2008) - [j9]Leonid Pavlovich Shilnikov, Andrey Shilnikov:
Shilnikov saddle-node bifurcation. Scholarpedia 3(4): 4789 (2008) - 2007
- [j8]Paul Channell Jr., Gennady S. Cymbalyuk, Andrey L. Shilnikov:
Applications of the Poincaré mapping technique to analysis of neuronal dynamics. Neurocomputing 70(10-12): 2107-2111 (2007) - [j7]Andrey Shilnikov, Dmitry Turaev:
Blue-sky catastrophe. Scholarpedia 2(8): 1889 (2007) - [j6]Leonid Pavlovich Shilnikov, Andrey Shilnikov:
Shilnikov bifurcation. Scholarpedia 2(8): 1891 (2007) - 2005
- [j5]Christian Mira, Andrey Shilnikov:
Slow-fast Dynamics Generated by Noninvertible Plane Maps. Int. J. Bifurc. Chaos 15(11): 3509-3534 (2005) - [j4]Gennady S. Cymbalyuk, Ronald L. Calabrese, Andrey L. Shilnikov:
How a neuron model can demonstrate co-existence of tonic spiking and bursting. Neurocomputing 65-66: 869-875 (2005) - [j3]Gennady S. Cymbalyuk, Andrey L. Shilnikov:
Coexistence of Tonic Spiking Oscillations in a Leech Neuron Model. J. Comput. Neurosci. 18(3): 255-263 (2005) - 2004
- [j2]Andrey Shilnikov, Leonid Pavlovich Shilnikov, Dmitry Turaev:
On Some Mathematical Topics in Classical Synchronization.: a Tutorial. Int. J. Bifurc. Chaos 14(7): 2143-2160 (2004) - 2003
- [j1]Andrey L. Shilnikov, Nikolai F. Rulkov:
Origin of Chaos in a Two-Dimensional Map Modeling Spiking-bursting Neural Activity. Int. J. Bifurc. Chaos 13(11): 3325-3340 (2003)
Conference and Workshop Papers
- 2019
- [c3]Matteo Lodi, Andrey Shilnikov, Marco Storace:
Digital Architecture to Realize Programmable Central Pattern Generators Producing Multiple Gaits. ISCAS 2019: 1-5 - 2018
- [c2]Matteo Lodi, Andrey Shilnikov, Marco Storace:
Design of Minimal Synthetic Circuits with Sensory Feedback for Quadruped Locomotion. ISCAS 2018: 1-5 - 2017
- [c1]Matteo Lodi, Andrey Shilnikov, Marco Storace:
CEPAGE: A toolbox for Central Pattern Generator analysis. ISCAS 2017: 1-4
Coauthor Index
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