Igor Belykh, Martin Hasler. Chaos 2011
Times Cited: 32
Times Cited: 32
Times Cited
Times Co-cited
Similarity
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
68
Complete characterization of the stability of cluster synchronization in complex dynamical networks.
Francesco Sorrentino, Louis M Pecora, Aaron M Hagerstrom, Thomas E Murphy, Rajarshi Roy. Sci Adv 2016
Francesco Sorrentino, Louis M Pecora, Aaron M Hagerstrom, Thomas E Murphy, Rajarshi Roy. Sci Adv 2016
43
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
34
Graph partitions and cluster synchronization in networks of oscillators.
Michael T Schaub, Neave O'Clery, Yazan N Billeh, Jean-Charles Delvenne, Renaud Lambiotte, Mauricio Barahona. Chaos 2016
Michael T Schaub, Neave O'Clery, Yazan N Billeh, Jean-Charles Delvenne, Renaud Lambiotte, Mauricio Barahona. Chaos 2016
32
Symmetry- and input-cluster synchronization in networks.
Abu Bakar Siddique, Louis Pecora, Joseph D Hart, Francesco Sorrentino. Phys Rev E 2018
Abu Bakar Siddique, Louis Pecora, Joseph D Hart, Francesco Sorrentino. Phys Rev E 2018
58
Cluster synchronization modes in an ensemble of coupled chaotic oscillators.
V N Belykh, I V Belykh, E Mosekilde. Phys Rev E Stat Nonlin Soft Matter Phys 2001
V N Belykh, I V Belykh, E Mosekilde. Phys Rev E Stat Nonlin Soft Matter Phys 2001
28
Cluster synchronization in oscillatory networks.
Vladimir N Belykh, Grigory V Osipov, Valentin S Petrov, Johan A K Suykens, Joos Vandewalle. Chaos 2008
Vladimir N Belykh, Grigory V Osipov, Valentin S Petrov, Johan A K Suykens, Joos Vandewalle. Chaos 2008
25
Hierarchy and stability of partially synchronous oscillations of diffusively coupled dynamical systems
Belykh, Belykh, Hasler. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 2000
Belykh, Belykh, Hasler. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 2000
25
25
Remote synchronization reveals network symmetries and functional modules.
Vincenzo Nicosia, Miguel Valencia, Mario Chavez, Albert Díaz-Guilera, Vito Latora. Phys Rev Lett 2013
Vincenzo Nicosia, Miguel Valencia, Mario Chavez, Albert Díaz-Guilera, Vito Latora. Phys Rev Lett 2013
21
Persistent clusters in lattices of coupled nonidentical chaotic systems.
I Belykh, V Belykh, K Nevidin, M Hasler. Chaos 2003
I Belykh, V Belykh, K Nevidin, M Hasler. Chaos 2003
21
Cluster and group synchronization in delay-coupled networks.
Thomas Dahms, Judith Lehnert, Eckehard Schöll. Phys Rev E Stat Nonlin Soft Matter Phys 2012
Thomas Dahms, Judith Lehnert, Eckehard Schöll. Phys Rev E Stat Nonlin Soft Matter Phys 2012
18
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
18
Approximate cluster synchronization in networks with symmetries and parameter mismatches.
Francesco Sorrentino, Louis Pecora. Chaos 2016
Francesco Sorrentino, Louis Pecora. Chaos 2016
33
Stable Chimeras and Independently Synchronizable Clusters.
Young Sul Cho, Takashi Nishikawa, Adilson E Motter. Phys Rev Lett 2017
Young Sul Cho, Takashi Nishikawa, Adilson E Motter. Phys Rev Lett 2017
27
Symmetries and cluster synchronization in multilayer networks.
Fabio Della Rossa, Louis Pecora, Karen Blaha, Afroza Shirin, Isaac Klickstein, Francesco Sorrentino. Nat Commun 2020
Fabio Della Rossa, Louis Pecora, Karen Blaha, Afroza Shirin, Isaac Klickstein, Francesco Sorrentino. Nat Commun 2020
42
Synchronization of dynamical hypernetworks: dimensionality reduction through simultaneous block-diagonalization of matrices.
Daniel Irving, Francesco Sorrentino. Phys Rev E Stat Nonlin Soft Matter Phys 2012
Daniel Irving, Francesco Sorrentino. Phys Rev E Stat Nonlin Soft Matter Phys 2012
20
Experimental observations of group synchrony in a system of chaotic optoelectronic oscillators.
Caitlin R S Williams, Thomas E Murphy, Rajarshi Roy, Francesco Sorrentino, Thomas Dahms, Eckehard Schöll. Phys Rev Lett 2013
Caitlin R S Williams, Thomas E Murphy, Rajarshi Roy, Francesco Sorrentino, Thomas Dahms, Eckehard Schöll. Phys Rev Lett 2013
15
Network synchronization of groups.
Francesco Sorrentino, Edward Ott. Phys Rev E Stat Nonlin Soft Matter Phys 2007
Francesco Sorrentino, Edward Ott. Phys Rev E Stat Nonlin Soft Matter Phys 2007
15
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
12
12
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
14
Increasing synchronization may promote seizure termination: evidence from status epilepticus.
Kaspar Schindler, Christian E Elger, Klaus Lehnertz. Clin Neurophysiol 2007
Kaspar Schindler, Christian E Elger, Klaus Lehnertz. Clin Neurophysiol 2007
12
Control of synchronization patterns in neural-like Boolean networks.
David P Rosin, Damien Rontani, Daniel J Gauthier, Eckehard Schöll. Phys Rev Lett 2013
David P Rosin, Damien Rontani, Daniel J Gauthier, Eckehard Schöll. Phys Rev Lett 2013
12
Chimera states in networks of phase oscillators: The case of two small populations.
Mark J Panaggio, Daniel M Abrams, Peter Ashwin, Carlo R Laing. Phys Rev E 2016
Mark J Panaggio, Daniel M Abrams, Peter Ashwin, Carlo R Laing. Phys Rev E 2016
12
Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
12
Weak chimeras in minimal networks of coupled phase oscillators.
Peter Ashwin, Oleksandr Burylko. Chaos 2015
Peter Ashwin, Oleksandr Burylko. Chaos 2015
12
Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics.
Martin Golubitsky, Ian Stewart. Chaos 2016
Martin Golubitsky, Ian Stewart. Chaos 2016
40
Community structure in social and biological networks.
M Girvan, M E J Newman. Proc Natl Acad Sci U S A 2002
M Girvan, M E J Newman. Proc Natl Acad Sci U S A 2002
9
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
9
Anti-phase, asymmetric and aperiodic oscillations in excitable cells--I. Coupled bursters.
A Sherman. Bull Math Biol 1994
A Sherman. Bull Math Biol 1994
9
Cluster synchronization in an array of hybrid coupled neural networks with delay.
Jinde Cao, Lulu Li. Neural Netw 2009
Jinde Cao, Lulu Li. Neural Netw 2009
9
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
13
Decreased neuronal synchronization during experimental seizures.
Theoden I Netoff, Steven J Schiff. J Neurosci 2002
Theoden I Netoff, Steven J Schiff. J Neurosci 2002
9
Network synchronization landscape reveals compensatory structures, quantization, and the positive effect of negative interactions.
Takashi Nishikawa, Adilson E Motter. Proc Natl Acad Sci U S A 2010
Takashi Nishikawa, Adilson E Motter. Proc Natl Acad Sci U S A 2010
9
Symmetries, stability, and control in nonlinear systems and networks.
Giovanni Russo, Jean-Jacques E Slotine. Phys Rev E Stat Nonlin Soft Matter Phys 2011
Giovanni Russo, Jean-Jacques E Slotine. Phys Rev E Stat Nonlin Soft Matter Phys 2011
18
Complex synchronous behavior in interneuronal networks with delayed inhibitory and fast electrical synapses.
Daqing Guo, Qingyun Wang, Matjaž Perc. Phys Rev E Stat Nonlin Soft Matter Phys 2012
Daqing Guo, Qingyun Wang, Matjaž Perc. Phys Rev E Stat Nonlin Soft Matter Phys 2012
9
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
9
Multistability in the Kuramoto model with synaptic plasticity.
Yuri L Maistrenko, Borys Lysyansky, Christian Hauptmann, Oleksandr Burylko, Peter A Tass. Phys Rev E Stat Nonlin Soft Matter Phys 2007
Yuri L Maistrenko, Borys Lysyansky, Christian Hauptmann, Oleksandr Burylko, Peter A Tass. Phys Rev E Stat Nonlin Soft Matter Phys 2007
9
The spacing principle for unlearning abnormal neuronal synchrony.
Oleksandr V Popovych, Markos N Xenakis, Peter A Tass. PLoS One 2015
Oleksandr V Popovych, Markos N Xenakis, Peter A Tass. PLoS One 2015
14
Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs.
H Markram, J Lübke, M Frotscher, B Sakmann. Science 1997
H Markram, J Lübke, M Frotscher, B Sakmann. Science 1997
9
Counteracting tinnitus by acoustic coordinated reset neuromodulation.
Peter A Tass, Ilya Adamchic, Hans-Joachim Freund, Tatjana von Stackelberg, Christian Hauptmann. Restor Neurol Neurosci 2012
Peter A Tass, Ilya Adamchic, Hans-Joachim Freund, Tatjana von Stackelberg, Christian Hauptmann. Restor Neurol Neurosci 2012
9
Unlearning tinnitus-related cerebral synchrony with acoustic coordinated reset stimulation: theoretical concept and modelling.
Peter A Tass, Oleksandr V Popovych. Biol Cybern 2012
Peter A Tass, Oleksandr V Popovych. Biol Cybern 2012
9
Hysteretic transitions in the Kuramoto model with inertia.
Simona Olmi, Adrian Navas, Stefano Boccaletti, Alessandro Torcini. Phys Rev E Stat Nonlin Soft Matter Phys 2014
Simona Olmi, Adrian Navas, Stefano Boccaletti, Alessandro Torcini. Phys Rev E Stat Nonlin Soft Matter Phys 2014
9
Phase chaos in coupled oscillators.
Oleksandr V Popovych, Yuri L Maistrenko, Peter A Tass. Phys Rev E Stat Nonlin Soft Matter Phys 2005
Oleksandr V Popovych, Yuri L Maistrenko, Peter A Tass. Phys Rev E Stat Nonlin Soft Matter Phys 2005
9
Mechanism of desynchronization in the finite-dimensional Kuramoto model.
Yu Maistrenko, O Popovych, O Burylko, P A Tass. Phys Rev Lett 2004
Yu Maistrenko, O Popovych, O Burylko, P A Tass. Phys Rev Lett 2004
10
Low dimensional behavior of large systems of globally coupled oscillators.
Edward Ott, Thomas M Antonsen. Chaos 2008
Edward Ott, Thomas M Antonsen. Chaos 2008
9
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.