A citation-based method for searching scientific literature

Michael Rosenblum, Arkady Pikovsky. Chaos 2019
Times Cited: 10







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



Times Cited
  Times     Co-cited
Similarity


Phase reduction and phase-based optimal control for biological systems: a tutorial.
Bharat Monga, Dan Wilson, Tim Matchen, Jeff Moehlis. Biol Cybern 2019
30
60


Isochrons and phaseless sets.
J Guckenheimer. J Math Biol 1975
92
50

Phase reduction method for strongly perturbed limit cycle oscillators.
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao. Phys Rev Lett 2013
20
40


Isostable reduction of periodic orbits.
Dan Wilson, Jeff Moehlis. Phys Rev E 2016
21
40

Weakly coupled oscillators in a slowly varying world.
Youngmin Park, Bard Ermentrout. J Comput Neurosci 2016
10
30


Phase reduction of a limit cycle oscillator perturbed by a strong amplitude-modulated high-frequency force.
Kestutis Pyragas, Viktor Novičenko. Phys Rev E Stat Nonlin Soft Matter Phys 2015
8
37

Phase-amplitude descriptions of neural oscillator models.
Kyle Ca Wedgwood, Kevin K Lin, Ruediger Thul, Stephen Coombes. J Math Neurosci 2013
23
30

On the phase reduction and response dynamics of neural oscillator populations.
Eric Brown, Jeff Moehlis, Philip Holmes. Neural Comput 2004
186
30


Phase-amplitude response functions for transient-state stimuli.
Oriol Castejón, Antoni Guillamon, Gemma Huguet. J Math Neurosci 2013
19
30

Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling.
Sho Shirasaka, Nobuhiro Watanabe, Yoji Kawamura, Hiroya Nakao. Phys Rev E 2017
8
25

Shear diversity prevents collective synchronization.
Ernest Montbrió, Diego Pazó. Phys Rev Lett 2011
26
20

Two types of quasiperiodic partial synchrony in oscillator ensembles.
Michael Rosenblum, Arkady Pikovsky. Phys Rev E Stat Nonlin Soft Matter Phys 2015
6
33

Dynamics of globally coupled oscillators: Progress and perspectives.
Arkady Pikovsky, Michael Rosenblum. Chaos 2015
74
20

Chimera states: the existence criteria revisited.
Gautam C Sethia, Abhijit Sen. Phys Rev Lett 2014
110
20

Generative models of cortical oscillations: neurobiological implications of the kuramoto model.
Michael Breakspear, Stewart Heitmann, Andreas Daffertshofer. Front Hum Neurosci 2010
188
20

Theoretical mechanics: crowd synchrony on the Millennium Bridge.
Steven H Strogatz, Daniel M Abrams, Allan McRobie, Bruno Eckhardt, Edward Ott. Nature 2005
134
20


Dynamics of limit-cycle oscillators subject to general noise.
Denis S Goldobin, Jun-Nosuke Teramae, Hiroya Nakao, G Bard Ermentrout. Phys Rev Lett 2010
33
20

Chimera states for coupled oscillators.
Daniel M Abrams, Steven H Strogatz. Phys Rev Lett 2004
479
20

Synchronization in complex oscillator networks and smart grids.
Florian Dörfler, Michael Chertkov, Francesco Bullo. Proc Natl Acad Sci U S A 2013
138
20

Interplay of coupling and common noise at the transition to synchrony in oscillator populations.
Anastasiya V Pimenova, Denis S Goldobin, Michael Rosenblum, Arkady Pikovsky. Sci Rep 2016
19
20


Functional phase response curves: a method for understanding synchronization of adapting neurons.
Jianxia Cui, Carmen C Canavier, Robert J Butera. J Neurophysiol 2009
36
20

Phasic Burst Stimulation: A Closed-Loop Approach to Tuning Deep Brain Stimulation Parameters for Parkinson's Disease.
Abbey B Holt, Dan Wilson, Max Shinn, Jeff Moehlis, Theoden I Netoff. PLoS Comput Biol 2016
43
20


Asymptotic phase for stochastic oscillators.
Peter J Thomas, Benjamin Lindner. Phys Rev Lett 2014
20
20

Recent advances in coupled oscillator theory.
Bard Ermentrout, Youngmin Park, Dan Wilson. Philos Trans A Math Phys Eng Sci 2019
8
25



Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience.
Peter Ashwin, Stephen Coombes, Rachel Nicks. J Math Neurosci 2016
69
20

Phase description of stochastic oscillations.
Justus T C Schwabedal, Arkady Pikovsky. Phys Rev Lett 2013
23
20

Phase-dependent modulation as a novel approach for therapeutic brain stimulation.
Ramin Azodi-Avval, Alireza Gharabaghi. Front Comput Neurosci 2015
16
20



Emergence of unusual coexistence states in cyclic game systems.
Junpyo Park, Younghae Do, Bongsoo Jang, Ying-Cheng Lai. Sci Rep 2017
14
10



Emergence of stable polymorphisms driven by evolutionary games between mutants.
Weini Huang, Bernhard Haubold, Christoph Hauert, Arne Traulsen. Nat Commun 2012
26
10

Phase transitions for rock-scissors-paper game on different networks.
Attila Szolnoki, György Szabó. Phys Rev E Stat Nonlin Soft Matter Phys 2004
36
10

Understanding individual human mobility patterns.
Marta C González, César A Hidalgo, Albert-László Barabási. Nature 2008
820
10

Phase synchronization of chaotic oscillators.
Rosenblum, Pikovsky, Kurths. Phys Rev Lett 1996
835
10

Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games.
Tobias Reichenbach, Mauro Mobilia, Erwin Frey. Nature 2007
271
10

Nonlinear dynamics of the rock-paper-scissors game with mutations.
Danielle F P Toupo, Steven H Strogatz. Phys Rev E Stat Nonlin Soft Matter Phys 2015
22
10

Cyclical interactions with alliance-specific heterogeneous invasion rates.
Matjaz Perc, Attila Szolnoki, György Szabó. Phys Rev E Stat Nonlin Soft Matter Phys 2007
36
10


Basins of attraction for species extinction and coexistence in spatial rock-paper-scissors games.
Hongjing Shi, Wen-Xu Wang, Rui Yang, Ying-Cheng Lai. Phys Rev E Stat Nonlin Soft Matter Phys 2010
31
10


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.