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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
Haniyeh Fallah, Andrey L. Shilnikov, “Quasi-Periodicity at Transition from Spiking to Bursting in the Pernarowski Model of Pancreatic Beta Cells”  |
1
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2014 |
| 2. |
Valentin S. Afraimovich, Sergey V. Gonchenko, Lev M. Lerman, Andrey L. Shilnikov, Dmitry V. Turaev, “Scientific Heritage of L.P. Shilnikov”, Regul. Chaotic Dyn., 19:4 (2014), 435–460    |
37
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2010 |
| 3. |
M. Kolomiets, A. Shilnikov, “Qualitative methods for case study of the Hindmarch–Rose model”, Nelin. Dinam., 6:1 (2010), 23–52  |
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2005 |
| 4. |
Andrey Shilnikov, Leonid P. Shilnikov, Dmitry Turaev, “Blue-sky catastrophe in singularly perturbed systems”, Mosc. Math. J., 5:1 (2005), 269–282 |
35
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2004 |
| 5. |
G. Cymbalyuk, A. Shilnikov, “Homoclinic bifurcations of periodic orbits en a route from tonic spiking to bursting in neuron models”, Regul. Chaotic Dyn., 9:3 (2004), 281–297 |
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1998 |
| 6. |
V. Pisarevskii, A. Shilnikov, D. Turaev, “Asymptotic normal forms for equilibria with a triplet of zero characteristic exponents in systems with symmetry”, Regul. Chaotic Dyn., 3:1 (1998), 19–27 |
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2012 |
| 7. |
D. V. Anosov, V. S. Afraimovich, L. A. Bunimovich, S. V. Gonchenko, V. Z. Grines, Yu. S. Ilyashenko, A. B. Katok, S. A. Kashchenko, V. V. Kozlov, L. M. Lerman, A. D. Morozov, A. I. Neishtadt, Ya. B. Pesin, A. M. Samoilenko, Ya. G. Sinai, D. V. Treschev, D. V. Turaev, A. N. Sharkovskii, A. L. Shil'nikov, “Leonid Pavlovich Shil'nikov (obituary)”, Uspekhi Mat. Nauk, 67:3(405) (2012), 175–178 ; Russian Math. Surveys, 67:3 (2012), 573–577 |
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2010 |
| 8. |
I. Belykh, S. Jalil, A. Shilnikov, “Burst-duration mechanism of in-phase bursting in inhibitory networks”, Regul. Chaotic Dyn., 15:2-3 (2010), 146–158 |
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