A citation-based method for searching scientific literature

Christian Bick, Mark J Panaggio, Erik A Martens. Chaos 2018
Times Cited: 17







List of co-cited articles
114 articles co-cited >1



Times Cited
  Times     Co-cited
Similarity



Solvable model for chimera states of coupled oscillators.
Daniel M Abrams, Rennie Mirollo, Steven H Strogatz, Daniel A Wiley. Phys Rev Lett 2008
219
47


Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
67
35

Chimera states in two populations with heterogeneous phase-lag.
Erik A Martens, Christian Bick, Mark J Panaggio. Chaos 2016
20
35

Exact results for the Kuramoto model with a bimodal frequency distribution.
E A Martens, E Barreto, S H Strogatz, E Ott, P So, T M Antonsen. Phys Rev E Stat Nonlin Soft Matter Phys 2009
97
35

Chimera states for coupled oscillators.
Daniel M Abrams, Steven H Strogatz. Phys Rev Lett 2004
449
29


Existence of hysteresis in the Kuramoto model with bimodal frequency distributions.
Diego Pazó, Ernest Montbrió. Phys Rev E Stat Nonlin Soft Matter Phys 2009
34
29

Long time evolution of phase oscillator systems.
Edward Ott, Thomas M Antonsen. Chaos 2009
183
29


Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
Oleh E Omel'chenko, Matthias Wolfrum. Phys Rev Lett 2012
45
29




Solitary state at the edge of synchrony in ensembles with attractive and repulsive interactions.
Yuri Maistrenko, Bogdan Penkovsky, Michael Rosenblum. Phys Rev E Stat Nonlin Soft Matter Phys 2014
36
23

Integrability of a globally coupled oscillator array.
Watanabe, Strogatz. Phys Rev Lett 1993
93
23

Conformists and contrarians in a Kuramoto model with identical natural frequencies.
Hyunsuk Hong, Steven H Strogatz. Phys Rev E Stat Nonlin Soft Matter Phys 2011
50
23


Synchronization of two interacting populations of oscillators.
Ernest Montbrió, Jürgen Kurths, Bernd Blasius. Phys Rev E Stat Nonlin Soft Matter Phys 2004
91
23

Symmetries of Chimera States.
Felix P Kemeth, Sindre W Haugland, Katharina Krischer. Phys Rev Lett 2018
11
27

Weak chimeras in minimal networks of coupled phase oscillators.
Peter Ashwin, Oleksandr Burylko. Chaos 2015
55
17

Chaos in symmetric phase oscillator networks.
Christian Bick, Marc Timme, Danilo Paulikat, Dirk Rathlev, Peter Ashwin. Phys Rev Lett 2011
22
17

Phase chaos in coupled oscillators.
Oleksandr V Popovych, Yuri L Maistrenko, Peter A Tass. Phys Rev E Stat Nonlin Soft Matter Phys 2005
41
17

Model reduction for Kuramoto models with complex topologies.
Edward J Hancock, Georg A Gottwald. Phys Rev E 2018
6
50

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
43
17




Ott-Antonsen attractiveness for parameter-dependent oscillatory systems.
Bastian Pietras, Andreas Daffertshofer. Chaos 2016
14
21




Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
173
17

Phase diagram for the Winfree model of coupled nonlinear oscillators.
J T Ariaratnam, S H Strogatz. Phys Rev Lett 2001
38
17



Thermodynamic limit of the first-order phase transition in the Kuramoto model.
Diego Pazó. Phys Rev E Stat Nonlin Soft Matter Phys 2005
74
17

Modeling walker synchronization on the Millennium Bridge.
Bruno Eckhardt, Edward Ott, Steven H Strogatz, Daniel M Abrams, Allan McRobie. Phys Rev E Stat Nonlin Soft Matter Phys 2007
42
17


Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review.
Christian Bick, Marc Goodfellow, Carlo R Laing, Erik A Martens. J Math Neurosci 2020
29
17

Behavioral, neurophysiological and evolutionary perspectives on unihemispheric sleep.
N C Rattenborg, C J Amlaner, S L Lima. Neurosci Biobehav Rev 2000
187
11

A classification scheme for chimera states.
Felix P Kemeth, Sindre W Haugland, Lennart Schmidt, Ioannis G Kevrekidis, Katharina Krischer. Chaos 2016
53
11


Smallest chimera states.
Yuri Maistrenko, Serhiy Brezetsky, Patrycja Jaros, Roman Levchenko, Tomasz Kapitaniak. Phys Rev E 2017
21
11



Heteroclinic switching between chimeras.
Christian Bick. Phys Rev E 2018
7
28

Clustering and slow switching in globally coupled phase oscillators.
Hansel, Mato, Meunier. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1993
105
11

Phase reduction and phase-based optimal control for biological systems: a tutorial.
Bharat Monga, Dan Wilson, Tim Matchen, Jeff Moehlis. Biol Cybern 2019
26
11


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.