Andrey Shilnikov, René Gordon, Igor Belykh. Chaos 2008
Times Cited: 27
Times Cited: 27
Times Cited
Times Co-cited
Similarity
44
44
When weak inhibition synchronizes strongly desynchronizing networks of bursting neurons.
Igor Belykh, Andrey Shilnikov. Phys Rev Lett 2008
Igor Belykh, Andrey Shilnikov. Phys Rev Lett 2008
40
37
Transition between tonic spiking and bursting in a neuron model via the blue-sky catastrophe.
Andrey Shilnikov, Gennady Cymbalyuk. Phys Rev Lett 2005
Andrey Shilnikov, Gennady Cymbalyuk. Phys Rev Lett 2005
37
When inhibition not excitation synchronizes neural firing.
C Van Vreeswijk, L F Abbott, G B Ermentrout. J Comput Neurosci 1994
C Van Vreeswijk, L F Abbott, G B Ermentrout. J Comput Neurosci 1994
33
Fast reciprocal inhibition can synchronize bursting neurons.
Sajiya Jalil, Igor Belykh, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2010
Sajiya Jalil, Igor Belykh, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2010
34
Order parameter for bursting polyrhythms in multifunctional central pattern generators.
Jeremy Wojcik, Robert Clewley, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2011
Jeremy Wojcik, Robert Clewley, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2011
44
Mechanism of bistability: tonic spiking and bursting in a neuron model.
Andrey Shilnikov, Ronald L Calabrese, Gennady Cymbalyuk. Phys Rev E Stat Nonlin Soft Matter Phys 2005
Andrey Shilnikov, Ronald L Calabrese, Gennady Cymbalyuk. Phys Rev E Stat Nonlin Soft Matter Phys 2005
25
Coexistence of tonic firing and bursting in cortical neurons.
Flavio Fröhlich, Maxim Bazhenov. Phys Rev E Stat Nonlin Soft Matter Phys 2006
Flavio Fröhlich, Maxim Bazhenov. Phys Rev E Stat Nonlin Soft Matter Phys 2006
25
Synchronization of bursting neurons: what matters in the network topology.
Igor Belykh, Enno de Lange, Martin Hasler. Phys Rev Lett 2005
Igor Belykh, Enno de Lange, Martin Hasler. Phys Rev Lett 2005
25
Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks.
Nancy Kopell, Bard Ermentrout. Proc Natl Acad Sci U S A 2004
Nancy Kopell, Bard Ermentrout. Proc Natl Acad Sci U S A 2004
25
Network motifs: simple building blocks of complex networks.
R Milo, S Shen-Orr, S Itzkovitz, N Kashtan, D Chklovskii, U Alon. Science 2002
R Milo, S Shen-Orr, S Itzkovitz, N Kashtan, D Chklovskii, U Alon. Science 2002
25
Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks.
F K Skinner, N Kopell, E Marder. J Comput Neurosci 1994
F K Skinner, N Kopell, E Marder. J Comput Neurosci 1994
22
Anti-phase, asymmetric and aperiodic oscillations in excitable cells--I. Coupled bursters.
A Sherman. Bull Math Biol 1994
A Sherman. Bull Math Biol 1994
18
Inhibitory synchronization of bursting in biological neurons: dependence on synaptic time constant.
Robert C Elson, Allen I Selverston, Henry D I Abarbanel, Mikhail I Rabinovich. J Neurophysiol 2002
Robert C Elson, Allen I Selverston, Henry D I Abarbanel, Mikhail I Rabinovich. J Neurophysiol 2002
18
Geometric analysis of population rhythms in synaptically coupled neuronal networks.
J Rubin, D Terman. Neural Comput 2000
J Rubin, D Terman. Neural Comput 2000
18
Origin of bursting through homoclinic spike adding in a neuron model.
Paul Channell, Gennady Cymbalyuk, Andrey Shilnikov. Phys Rev Lett 2007
Paul Channell, Gennady Cymbalyuk, Andrey Shilnikov. Phys Rev Lett 2007
18
Spikes matter for phase-locked bursting in inhibitory neurons.
Sajiya Jalil, Igor Belykh, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2012
Sajiya Jalil, Igor Belykh, Andrey Shilnikov. Phys Rev E Stat Nonlin Soft Matter Phys 2012
29
Dynamics of globally coupled inhibitory neurons with heterogeneity.
Golomb, Rinzel. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993
Golomb, Rinzel. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993
14
Bursting in leech heart interneurons: cell-autonomous and network-based mechanisms.
Gennady S Cymbalyuk, Quentin Gaudry, Mark A Masino, Ronald L Calabrese. J Neurosci 2002
Gennady S Cymbalyuk, Quentin Gaudry, Mark A Masino, Ronald L Calabrese. J Neurosci 2002
14
Enhancement of neural synchrony by time delay.
Mukeshwar Dhamala, Viktor K Jirsa, Mingzhou Ding. Phys Rev Lett 2004
Mukeshwar Dhamala, Viktor K Jirsa, Mingzhou Ding. Phys Rev Lett 2004
14
Topological and phenomenological classification of bursting oscillations.
R Bertram, M J Butte, T Kiemel, A Sherman. Bull Math Biol 1995
R Bertram, M J Butte, T Kiemel, A Sherman. Bull Math Biol 1995
14
Neuronal control of leech behavior.
William B Kristan, Ronald L Calabrese, W Otto Friesen. Prog Neurobiol 2005
William B Kristan, Ronald L Calabrese, W Otto Friesen. Prog Neurobiol 2005
14
Control of multistability in ring circuits of oscillators.
C C Canavier, D A Baxter, J W Clark, J H Byrne. Biol Cybern 1999
C C Canavier, D A Baxter, J W Clark, J H Byrne. Biol Cybern 1999
14
Multiple modes of activity in a model neuron suggest a novel mechanism for the effects of neuromodulators.
C C Canavier, D A Baxter, J W Clark, J H Byrne. J Neurophysiol 1994
C C Canavier, D A Baxter, J W Clark, J H Byrne. J Neurophysiol 1994
14
Parameter space analysis suggests multi-site plasticity contributes to motor pattern initiation in Tritonia.
Robert J Calin-Jageman, Mark J Tunstall, Brett D Mensh, Paul S Katz, William N Frost. J Neurophysiol 2007
Robert J Calin-Jageman, Mark J Tunstall, Brett D Mensh, Paul S Katz, William N Frost. J Neurophysiol 2007
14
Synaptic patterning of left-right alternation in a computational model of the rodent hindlimb central pattern generator.
William Erik Sherwood, Ronald Harris-Warrick, John Guckenheimer. J Comput Neurosci 2011
William Erik Sherwood, Ronald Harris-Warrick, John Guckenheimer. J Comput Neurosci 2011
23
Different roles for homologous interneurons in species exhibiting similar rhythmic behaviors.
Akira Sakurai, James M Newcomb, Joshua L Lillvis, Paul S Katz. Curr Biol 2011
Akira Sakurai, James M Newcomb, Joshua L Lillvis, Paul S Katz. Curr Biol 2011
14
Key bifurcations of bursting polyrhythms in 3-cell central pattern generators.
Jeremy Wojcik, Justus Schwabedal, Robert Clewley, Andrey L Shilnikov. PLoS One 2014
Jeremy Wojcik, Justus Schwabedal, Robert Clewley, Andrey L Shilnikov. PLoS One 2014
23
New dynamics in cerebellar Purkinje cells: torus canards.
Mark A Kramer, Roger D Traub, Nancy J Kopell. Phys Rev Lett 2008
Mark A Kramer, Roger D Traub, Nancy J Kopell. Phys Rev Lett 2008
11
Transitions to synchrony in coupled bursting neurons.
Mukeshwar Dhamala, Viktor K Jirsa, Mingzhou Ding. Phys Rev Lett 2004
Mukeshwar Dhamala, Viktor K Jirsa, Mingzhou Ding. Phys Rev Lett 2004
11
Similar network activity from disparate circuit parameters.
Astrid A Prinz, Dirk Bucher, Eve Marder. Nat Neurosci 2004
Astrid A Prinz, Dirk Bucher, Eve Marder. Nat Neurosci 2004
11
Serotonin-induced bistability of turtle motoneurones caused by a nifedipine-sensitive calcium plateau potential.
J Hounsgaard, O Kiehn. J Physiol 1989
J Hounsgaard, O Kiehn. J Physiol 1989
11
Dynamical characteristics common to neuronal competition models.
Asya Shpiro, Rodica Curtu, John Rinzel, Nava Rubin. J Neurophysiol 2007
Asya Shpiro, Rodica Curtu, John Rinzel, Nava Rubin. J Neurophysiol 2007
11
Models of respiratory rhythm generation in the pre-Bötzinger complex. I. Bursting pacemaker neurons.
R J Butera, J Rinzel, J C Smith. J Neurophysiol 1999
R J Butera, J Rinzel, J C Smith. J Neurophysiol 1999
11
Models of respiratory rhythm generation in the pre-Bötzinger complex. II. Populations Of coupled pacemaker neurons.
R J Butera, J Rinzel, J C Smith. J Neurophysiol 1999
R J Butera, J Rinzel, J C Smith. J Neurophysiol 1999
11
Dynamics of spiking neurons connected by both inhibitory and electrical coupling.
Timothy J Lewis, John Rinzel. J Comput Neurosci 2003
Timothy J Lewis, John Rinzel. J Comput Neurosci 2003
11
The Hindmarsh-Rose neuron model: bifurcation analysis and piecewise-linear approximations.
Marco Storace, Daniele Linaro, Enno de Lange. Chaos 2008
Marco Storace, Daniele Linaro, Enno de Lange. Chaos 2008
11
Multiple rhythmic states in a model of the respiratory central pattern generator.
Jonathan E Rubin, Natalia A Shevtsova, G Bard Ermentrout, Jeffrey C Smith, Ilya A Rybak. J Neurophysiol 2009
Jonathan E Rubin, Natalia A Shevtsova, G Bard Ermentrout, Jeffrey C Smith, Ilya A Rybak. J Neurophysiol 2009
11
Single neuron control over a complex motor program.
W N Frost, P S Katz. Proc Natl Acad Sci U S A 1996
W N Frost, P S Katz. Proc Natl Acad Sci U S A 1996
11
Coexistence of tonic spiking oscillations in a leech neuron model.
Gennady Cymbalyuk, Andrey Shilnikov. J Comput Neurosci 2005
Gennady Cymbalyuk, Andrey Shilnikov. J Comput Neurosci 2005
11
Mechanisms of frequency and pattern control in the neural rhythm generators.
K Matsuoka. Biol Cybern 1987
K Matsuoka. Biol Cybern 1987
11
Homology and homoplasy of swimming behaviors and neural circuits in the Nudipleura (Mollusca, Gastropoda, Opisthobranchia).
James M Newcomb, Akira Sakurai, Joshua L Lillvis, Charuni A Gunaratne, Paul S Katz. Proc Natl Acad Sci U S A 2012
James M Newcomb, Akira Sakurai, Joshua L Lillvis, Charuni A Gunaratne, Paul S Katz. Proc Natl Acad Sci U S A 2012
11
Explicit maps to predict activation order in multiphase rhythms of a coupled cell network.
Jonathan E Rubin, David Terman. J Math Neurosci 2012
Jonathan E Rubin, David Terman. J Math Neurosci 2012
100
Co-cited is the co-citation frequency, indicating how many articles cite the article together with the query article. Similarity is the co-citation as percentage of the times cited of the query article or the article in the search results, whichever is the lowest. These numbers are calculated for the last 100 citations when articles are cited more than 100 times.