Igor Belykh, Enno de Lange, Martin Hasler. Phys Rev Lett 2005
Times Cited: 117
Times Cited: 117
Times Cited
Times Co-cited
Similarity
A model of neuronal bursting using three coupled first order differential equations.
J L Hindmarsh, R M Rose. Proc R Soc Lond B Biol Sci 1984
J L Hindmarsh, R M Rose. Proc R Soc Lond B Biol Sci 1984
35
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
25
18
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
17
A quantitative description of membrane current and its application to conduction and excitation in nerve.
A L HODGKIN, A F HUXLEY. J Physiol 1952
A L HODGKIN, A F HUXLEY. J Physiol 1952
17
Neural synchrony in brain disorders: relevance for cognitive dysfunctions and pathophysiology.
Peter J Uhlhaas, Wolf Singer. Neuron 2006
Peter J Uhlhaas, Wolf Singer. Neuron 2006
14
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
12
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
11
Mesoscale and clusters of synchrony in networks of bursting neurons.
Igor Belykh, Martin Hasler. Chaos 2011
Igor Belykh, Martin Hasler. Chaos 2011
35
Impulses and Physiological States in Theoretical Models of Nerve Membrane.
R Fitzhugh. Biophys J 1961
R Fitzhugh. Biophys J 1961
10
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
35
10
9
9
Combined effect of chemical and electrical synapses in Hindmarsh-Rose neural networks on synchronization and the rate of information.
M S Baptista, F M Moukam Kakmeni, C Grebogi. Phys Rev E Stat Nonlin Soft Matter Phys 2010
M S Baptista, F M Moukam Kakmeni, C Grebogi. Phys Rev E Stat Nonlin Soft Matter Phys 2010
32
Phase synchronization in ensembles of bursting oscillators.
Mikhail V Ivanchenko, Grigory V Osipov, Vladimir D Shalfeev, Jürgen Kurths. Phys Rev Lett 2004
Mikhail V Ivanchenko, Grigory V Osipov, Vladimir D Shalfeev, Jürgen Kurths. Phys Rev Lett 2004
15
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
14
Heterogeneity in oscillator networks: are smaller worlds easier to synchronize?
Takashi Nishikawa, Adilson E Motter, Ying-Cheng Lai, Frank C Hoppensteadt. Phys Rev Lett 2003
Takashi Nishikawa, Adilson E Motter, Ying-Cheng Lai, Frank C Hoppensteadt. Phys Rev Lett 2003
8
Pathological synchronization in Parkinson's disease: networks, models and treatments.
Constance Hammond, Hagai Bergman, Peter Brown. Trends Neurosci 2007
Constance Hammond, Hagai Bergman, Peter Brown. Trends Neurosci 2007
8
Organization, development and function of complex brain networks.
Olaf Sporns, Dante R Chialvo, Marcus Kaiser, Claus C Hilgetag. Trends Cogn Sci 2004
Olaf Sporns, Dante R Chialvo, Marcus Kaiser, Claus C Hilgetag. Trends Cogn Sci 2004
8
Synchronization transitions on scale-free neuronal networks due to finite information transmission delays.
Qingyun Wang, Matjaz Perc, Zhisheng Duan, Guanrong Chen. Phys Rev E Stat Nonlin Soft Matter Phys 2009
Qingyun Wang, Matjaz Perc, Zhisheng Duan, Guanrong Chen. Phys Rev E Stat Nonlin Soft Matter Phys 2009
8
Phase synchronization of inhibitory bursting neurons induced by distributed time delays in chemical coupling.
Xiaoming Liang, Ming Tang, Mukeshwar Dhamala, Zonghua Liu. Phys Rev E Stat Nonlin Soft Matter Phys 2009
Xiaoming Liang, Ming Tang, Mukeshwar Dhamala, Zonghua Liu. Phys Rev E Stat Nonlin Soft Matter Phys 2009
34
Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling.
Qingyun Wang, Guanrong Chen, Matjaž Perc. PLoS One 2011
Qingyun Wang, Guanrong Chen, Matjaž Perc. PLoS One 2011
8
Chimera states in mechanical oscillator networks.
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
Erik Andreas Martens, Shashi Thutupalli, Antoine Fourrière, Oskar Hallatschek. Proc Natl Acad Sci U S A 2013
8
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
19
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
7
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
14
Hierarchical organization unveiled by functional connectivity in complex brain networks.
Changsong Zhou, Lucia Zemanová, Gorka Zamora, Claus C Hilgetag, Jürgen Kurths. Phys Rev Lett 2006
Changsong Zhou, Lucia Zemanová, Gorka Zamora, Claus C Hilgetag, Jürgen Kurths. Phys Rev Lett 2006
7
Scale-free brain functional networks.
Victor M Eguíluz, Dante R Chialvo, Guillermo A Cecchi, Marwan Baliki, A Vania Apkarian. Phys Rev Lett 2005
Victor M Eguíluz, Dante R Chialvo, Guillermo A Cecchi, Marwan Baliki, A Vania Apkarian. Phys Rev Lett 2005
7
Dynamical weights and enhanced synchronization in adaptive complex networks.
Changsong Zhou, Jürgen Kurths. Phys Rev Lett 2006
Changsong Zhou, Jürgen Kurths. Phys Rev Lett 2006
7
Transition to burst synchronization in coupled neuron networks.
Yu Shen, Zhonghuai Hou, Houwen Xin. Phys Rev E Stat Nonlin Soft Matter Phys 2008
Yu Shen, Zhonghuai Hou, Houwen Xin. Phys Rev E Stat Nonlin Soft Matter Phys 2008
53
Polyrhythmic synchronization in bursting networking motifs.
Andrey Shilnikov, René Gordon, Igor Belykh. Chaos 2008
Andrey Shilnikov, René Gordon, Igor Belykh. Chaos 2008
25
Chaotic phase synchronization in scale-free networks of bursting neurons.
C A S Batista, A M Batista, J A C de Pontes, R L Viana, S R Lopes. Phys Rev E Stat Nonlin Soft Matter Phys 2007
C A S Batista, A M Batista, J A C de Pontes, R L Viana, S R Lopes. Phys Rev E Stat Nonlin Soft Matter Phys 2007
14
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
30
Complex brain networks: graph theoretical analysis of structural and functional systems.
Ed Bullmore, Olaf Sporns. Nat Rev Neurosci 2009
Ed Bullmore, Olaf Sporns. Nat Rev Neurosci 2009
7
Cluster synchronization and isolated desynchronization in complex networks with symmetries.
Louis M Pecora, Francesco Sorrentino, Aaron M Hagerstrom, Thomas E Murphy, Rajarshi Roy. Nat Commun 2014
Louis M Pecora, Francesco Sorrentino, Aaron M Hagerstrom, Thomas E Murphy, Rajarshi Roy. Nat Commun 2014
7
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
6
Fast response and temporal coherent oscillations in small-world networks.
L F Lago-Fernández, R Huerta, F Corbacho, J A Sigüenza. Phys Rev Lett 2000
L F Lago-Fernández, R Huerta, F Corbacho, J A Sigüenza. Phys Rev Lett 2000
6
Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model.
X J Wang, G Buzsáki. J Neurosci 1996
X J Wang, G Buzsáki. J Neurosci 1996
6
Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties.
C M Gray, P König, A K Engel, W Singer. Nature 1989
C M Gray, P König, A K Engel, W Singer. Nature 1989
6
Anti-phase, asymmetric and aperiodic oscillations in excitable cells--I. Coupled bursters.
A Sherman. Bull Math Biol 1994
A Sherman. Bull Math Biol 1994
12
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
12
Geometric analysis of population rhythms in synaptically coupled neuronal networks.
J Rubin, D Terman. Neural Comput 2000
J Rubin, D Terman. Neural Comput 2000
16
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
6
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.