Low-dimensional dynamics of populations of pulse-coupled oscillators
By D. Paz'o, Ernest Montbri'o. 2013
147 citations recorded by the source corpus.
We thank Juan M. Lopez for a critical reading of the manuscript, Arkady Pikovsky for interesting discussions, and John Rinzel for pointing us to Ref. [7]. D. P. acknowl-edges support from Cantabria International Campus and the Ramon y Cajal program of MINECO (Spain). We acknowl-edge support from the Spanish research Projects No. FIS2009-12964-C05-05 and No. SAF2010-16085.
Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5ab6d12f9c2d6a16ccbab630012a240b645e2c70
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In Computer Networks and Communications
In Statistical and Nonlinear Physics
Citations in the corpus
- The mathematics behind chimera states (2018, methodology): “In particular, using the Ott-Antonsen approach one can effectively study spatially extended models with neuroscience background, where phase oscillators are replaced with theta-neurons [77, 88] or where oscillators interact via a special form of coupling, called pulse coupling [134].”
- Macroscopic description for networks of spiking neurons (2015, methodology): “Specifically, networks of pulse-coupled oscillators [48] and theta-neurons [50–52] allow for an exact, low-dimensional description in terms of th e Kuramoto order parameter (17).”
- Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators (2014, unknown): “…− ν 〈 sin(θσi − θσ ′ j + α) 〉 j∈σ ′ , (2) where µ and ν represent the intra- and inter-cluster coupling strengths respectively (µ > ν > 0), σ and σ ′ indicate clusters X and Y (or vice versa) and 〈f (θσj )〉j∈σ indicates an average over cluster σ (this is just N−1 ∑N j=1 f (θ σ j ) for finite N ).”