Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
coupled oscillators
|
| gptkbp:citation |
thousands of scientific papers
|
| gptkbp:describes |
synchronization
|
| gptkbp:field |
applied mathematics
nonlinear dynamics statistical physics |
| gptkbp:fileExtension |
Kuramoto model on complex networks
Kuramoto model with inertia Kuramoto model with noise Kuramoto model with non-uniform coupling Kuramoto model with time delay |
| gptkbp:generalizes |
gptkb:Kuramoto-Sivashinsky_equation
gptkb:Sakaguchi-Kuramoto_model |
| gptkbp:governingEquation |
dθi/dt = ωi + (K/N) Σ sin(θj - θi)
|
| gptkbp:hasApplication |
gptkb:Josephson_junction_arrays
neural networks chemical oscillations power grid synchronization circadian rhythms firefly synchronization |
| https://www.w3.org/2000/01/rdf-schema#label |
Kuramoto model
|
| gptkbp:introduced |
gptkb:Yoshiki_Kuramoto
|
| gptkbp:introducedIn |
1975
|
| gptkbp:limitation |
assumes all-to-all coupling
assumes identical coupling strength ignores amplitude dynamics |
| gptkbp:mathematicalType |
system of ordinary differential equations
|
| gptkbp:parameter |
coupling constant
natural frequency phase |
| gptkbp:relatedConcept |
gptkb:Ott-Antonsen_ansatz
gptkb:Watanabe-Strogatz_theory chimera state mean-field coupling phase oscillator synchronization manifold |
| gptkbp:relatedTo |
gptkb:mean-field_theory
order parameter synchronization transition |
| gptkbp:studiedIn |
complex systems
network science |
| gptkbp:studies |
collective behavior
phase transition |
| gptkbp:usedIn |
biology
engineering neuroscience physics |
| gptkbp:bfsParent |
gptkb:Steven_Strogatz
|
| gptkbp:bfsLayer |
6
|