Methods of qualitative theory in nonlinear dynamics LP Shilnikov, AL Shilnikov, DV Turaev, LO Chua World Scientific, 2001 | 1212 | 2001 |
Методы качественной теории в нелинейной динамике. Часть 1. ЛП Шильников, АЛ Шильников, ДВ Тураев, Л Чуа Москва-Ижевск: Институт компьютерных исследований, 2004 | 313* | 2004 |
Methods of the qualitative theory for the Hindmarsh-Rose model: A case study. A tutorial A Shilnikov, M Kolomiets International Journal of Bifurcation and chaos 18 (7), 1-32, 2008 | 210 | 2008 |
Transition between tonic spiking and bursting in a neuron model via the blue-sky catastrophe A Shilnikov, G Cymbalyuk Physical review letters 94 (4), 048101, 2005 | 195 | 2005 |
On bifurcations of the Lorenz attractor in the Shimizu-Morioka model AL Shil'Nikov Physica D: Nonlinear Phenomena 62 (1-4), 338-346, 1993 | 185 | 1993 |
Mechanism of bistability: tonic spiking and bursting in a neuron model A Shilnikov, RL Calabrese, G Cymbalyuk Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 71 (5 …, 2005 | 166 | 2005 |
Normal forms and Lorenz attractors AL Shil'Nikov, LP Shil'Nikov, DV Turaev International Journal of Bifurcation and Chaos 3 (05), 1123-1139, 1993 | 152 | 1993 |
Origin of chaos in a two-dimensional map modeling spiking-bursting neural activity AL Shilnikov, NF Rulkov International Journal of Bifurcation and Chaos 13 (11), 3325-3340, 2003 | 148 | 2003 |
Bifurcation and chaos in the Morioka-Shimizu system AL Shilnikov Methods in Qualitative Theory and Bifurcation Theory, 1986 | 134* | 1986 |
Bifurcation and predictability analysis of a low-order atmospheric circulation model A SHIL'NIKOV, G Nicolis, C Nicolis International Journal of Bifurcation and Chaos 5 (06), 1701-1711, 1995 | 133 | 1995 |
Origin of bursting through homoclinic spike adding in a neuron model P Channell, G Cymbalyuk, A Shilnikov Physical Review Letters 98 (13), 134101, 2007 | 117 | 2007 |
When weak inhibition synchronizes strongly desynchronizing networks of bursting neurons I Belykh, A Shilnikov Physical review letters 101 (7), 078102, 2008 | 116 | 2008 |
Subthreshold oscillations in a map-based neuron model AL Shilnikov, NF Rulkov Physics Letters A 328 (2-3), 177-184, 2004 | 113 | 2004 |
Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model R Barrio, A Shilnikov The Journal of Mathematical Neuroscience 1 (1), 6, 2011 | 111 | 2011 |
Complete dynamical analysis of a neuron model A Shilnikov Nonlinear Dynamics 68, 305-328, 2012 | 108 | 2012 |
Global organization of spiral structures in bi-parameter space of dissipative systems with Shilnikov saddle-foci R Barrio, F Blesa, S Serrano, AL Shilnikov Physical Review E 84 (3), 035201, 2011 | 104 | 2011 |
Kneadings, symbolic dynamics and painting Lorenz chaos R Barrio, A Shilnikov, L Shilnikov International Journal of Bifurcation and Chaos 22 (04), 1230016, 2012 | 102 | 2012 |
Polyrhythmic synchronization in bursting networking motifs A Shilnikov, R Gordon, I Belykh Chaos 18 (3), 037120, 2008 | 93 | 2008 |
Coexistence of tonic spiking oscillations in a leech neuron model G Cymbalyuk, A Shilnikov Journal of computational neuroscience 18, 255-263, 2005 | 88 | 2005 |
Macro-and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons R Barrio, M Angeles Martínez, S Serrano, A Shilnikov Chaos: An Interdisciplinary Journal of Nonlinear Science 24 (2), 2014 | 81 | 2014 |