Dontopedia

Kuramoto

From Dontopedia, the open, paraconsistent wiki. (Last updated 2026-07-03.)

Kuramoto has 59 facts recorded in Dontopedia across 24 references, with 5 live disagreements.

59 facts·45 predicates·24 sources·5 in dispute

Mostly:rdf:type(6), presupposes existence of(2), references(2)

Maturity scale raw canonical shape-checked rule-derived certified

Inbound mentions (30)

Other subjects in dontopedia point AT this entity as a value. These are inverse relationships — e.g. "X motherOf this subject" — and answer questions the forward facts can't. Grouped by predicate.

referencesReferences(4)

isCheckpointOfIs Checkpoint of(2)

isGeneralizationOfIs Generalization of(2)

referencesKuramotoModelReferences Kuramoto Model(2)

approachedFasterByStrongerSyncApproached Faster by Stronger Sync(1)

assumesKnowledgeOfAssumes Knowledge of(1)

connectsToConnects to(1)

extendsExtends(1)

extendsKnownModelExtends Known Model(1)

focusesOnModelsFocuses on Models(1)

generalizesGeneralizes(1)

generalizesModelGeneralizes Model(1)

hasComponentHas Component(1)

isOrderParameterIs Order Parameter(1)

  • Rex:r

modeledOnS1Modeled on S1(1)

partOfPart of(1)

presupposesExistenceOfPresupposes Existence of(1)

presupposesSharedKnowledgeOfPresupposes Shared Knowledge of(1)

referencesKnownModelReferences Known Model(1)

referencesKuramotoOscillatorsReferences Kuramoto Oscillators(1)

referencesModelReferences Model(1)

referencesTechnicalConceptReferences Technical Concept(1)

relevantToRelevant to(1)

sourceModelSource Model(1)

Other facts (54)

The long tail: predicates that appear too rarely to warrant their own section. Filter or scroll to find a specific one. Each row links to its source.

54 facts
PredicateValueRef
Rdf:typeMathematical Model[18]
Rdf:typeModel[19]
Rdf:typeMathematical Model[20]
Rdf:typeModel[21]
Rdf:typeModel[22]
Rdf:typeMachine Learning Model[24]
Presupposes Existence ofScalar Phases[2]
Presupposes Existence ofCoupled Oscillators[4]
ReferencesAps Journals[4]
ReferencesClassical Model[10]
AdmitsLow Dimensional Approximations[10]
AdmitsLow Dimensional Approximations[22]
Referenced inAnalysis[12]
Referenced inContext[15]
Has Spatial Synchronization PatternsAttachment 330px Spatial Synchronization Patterns Kuramoto[1]
Culturally Known inoscillator synchronization field[2]
Defined on ManifoldS¹[2]
Applies to Phasesnull[3]
Is Mathematical Frameworktrue[4]
Assumes All to All CouplingGlobal Coupling[4]
Contrasts Global With Localtrue[4]
Describes Collective SynchronizationCoupled Oscillators[4]
Has Key AspectsGlobal Synchronization[4]
Ontologically ModelsOscillator Population[4]
Is Well Knowntrue[4]
Has Equation Dr Dt Propto Kr Neg1 Minus Rdr/dt ∝ K·r·(1-r)[5]
Involved in FixKuramoto Pull Direction[6]
Embodies Self OrganizationNatural Physics[7]
References Standard EquationK in Kuramoto[7]
IsSelf Organizing[7]
Special Case of Lohenull[8]
Provides AnalogyCurrent System[9]
Enables Efficient SimulationScalable Linear Time Simulation[10]
Has Well Studied ApproximationsOtt Antonsen Reduction[10]
Is Analytically SimplerAnalysis[10]
Is Classical Nonlinear Phase Oscillator SystemPhase Oscillator System[10]
Is Known forLow Dimensional Approximations[10]
Serves Teleological PurposeEfficient Simulation[10]
Is Essential forGlobal Scale[11]
Has TransitionKuramoto Transition[13]
Includes TermThermal Fluctuation Term[14]
Provides Model forNoise Effects[14]
InfluencesNoise Design[14]
ModelsLohe Sync[14]
Has DynamicsDtheta I Dt Equation[14]
Known Model ofSynchronization[16]
Referenced IntertextuallyTrue[17]
Presupposed As BackgroundTrue[17]
Generalized byLohe Model[18]
Is aClassical Nonlinear Phase Oscillator System[22]
Has PropertyAnalytical Simplicity[22]
EnablesEfficient Scalable Linear Time Simulation[22]
Has EquationKuramoto Equation[23]
Has Directory NameKuramoto Smoke Pairwise[24]

Timeline

Timeline axis is valid_time — when each source says the fact was true in the world, not when Dontopedia learned about it. Retracted rows are kept for provenance; coloured stripes indicate the context kind.

59 undated
—
hasSpatialSynchronizationPatternsblah/papers/part-15
ex:attachment-330px-spatial-synchronization-patterns-kuramoto
—
culturallyKnownInblah/watt-activation/part-67
oscillator synchronization field
—
definedOnManifoldblah/watt-activation/part-67
ex:s¹
—
presupposesExistenceOfblah/watt-activation/part-67
ex:scalar-phases
—
appliesToPhasesblah/watt-activation/part-117
null
—
isMathematicalFrameworkblah/watt-activation/part-187
true
—
assumesAllToAllCouplingblah/watt-activation/part-187
ex:global-coupling
—
contrastsGlobalWithLocalblah/watt-activation/part-187
true
—
describesCollectiveSynchronizationblah/watt-activation/part-187
ex:coupled-oscillators
—
referencesblah/watt-activation/part-187
ex:aps-journals
—
presupposesExistenceOfblah/watt-activation/part-187
ex:coupled-oscillators
—
hasKeyAspectsblah/watt-activation/part-187
ex:global-synchronization
—
ontologicallyModelsblah/watt-activation/part-187
ex:oscillator-population
—
isWellKnownblah/watt-activation/part-187
true
—
hasEquationDrDtProptoKRNeg1MinusRblah/watt-activation/part-192
dr/dt ∝ K·r·(1-r)
—
involvedInFixblah/watt-activation/part-190
ex:kuramoto-pull-direction
—
embodiesSelfOrganizationblah/watt-activation/part-194
ex:natural-physics
—
referencesStandardEquationblah/watt-activation/part-194
ex:k-in-kuramoto
—
isblah/watt-activation/part-194
ex:self-organizing
—
specialCaseOfLoheblah/watt-activation/part-185
null
—
providesAnalogyblah/watt-activation/part-189
ex:current-system
—
admitsblah/watt-activation/part-207
ex:low-dimensional-approximations
—
enablesEfficientSimulationblah/watt-activation/part-207
ex:scalable-linear-time-simulation
—
hasWellStudiedApproximationsblah/watt-activation/part-207
ex:ott-antonsen-reduction
—
isAnalyticallySimplerblah/watt-activation/part-207
ex:analysis
—
isClassicalNonlinearPhaseOscillatorSystemblah/watt-activation/part-207
ex:phase-oscillator-system
—
isKnownForblah/watt-activation/part-207
ex:low-dimensional-approximations
—
referencesblah/watt-activation/part-207
ex:classical-model
—
servesTeleologicalPurposeblah/watt-activation/part-207
ex:efficient-simulation
—
isEssentialForblah/watt-activation/part-208
ex:global-scale
—
referencedInblah/watt-activation/part-220
ex:analysis
—
hasTransitionblah/watt-activation/part-233
ex:kuramoto-transition
—
includesTermblah/watt-activation/part-347
ex:thermal-fluctuation-term
—
providesModelForblah/watt-activation/part-347
ex:noise-effects
—
influencesblah/watt-activation/part-347
ex:noise-design
—
modelsblah/watt-activation/part-347
ex:lohe-sync
—
hasDynamicsblah/watt-activation/part-347
ex:dtheta-i-dt-equation
—
referencedInblah/watt-activation/part-410
ex:context
—
knownModelOfblah/watt-activation/part-564
ex:synchronization
—
referencedIntertextuallyblah/watt-activation/part-222
ex:true
—
presupposedAsBackgroundblah/watt-activation/part-222
ex:true
—
typeblah/watt-activation/67
ex:MathematicalModel
—
labelblah/watt-activation/67
Kuramoto
—
generalizedByblah/watt-activation/67
ex:lohe-model
—
typeblah/watt-activation/69
ex:Model
—
labelblah/watt-activation/69
Kuramoto
—
typeblah/watt-activation/185
ex:MathematicalModel
—
typeblah/watt-activation/194
ex:Model
—
typeblah/watt-activation/206
ex:Model
—
labelblah/watt-activation/206
Kuramoto's model
—
isAblah/watt-activation/206
ex:classical-nonlinear-phase-oscillator-system
—
hasPropertyblah/watt-activation/206
ex:analytical-simplicity
—
admitsblah/watt-activation/206
ex:low-dimensional-approximations
—
enablesblah/watt-activation/206
ex:efficient-scalable-linear-time-simulation
—
labelblah/watt-activation/345
Kuramoto model
—
hasEquationblah/watt-activation/345
ex:kuramoto-equation
—
labeldocument/014e57c6-64a1-4baf-a007-2f39ad657584
kuramoto smoke pairwise
—
typedocument/014e57c6-64a1-4baf-a007-2f39ad657584
ex:MachineLearningModel
—
hasDirectoryNamedocument/014e57c6-64a1-4baf-a007-2f39ad657584
ex:kuramoto-smoke-pairwise

References (24)

24 references
  1. [1]Part 151 fact
    ctx:discord/blah/papers/part-15
  2. [2]Part 673 facts
    ctx:discord/blah/watt-activation/part-67
  3. [3]Part 1171 fact
    ctx:discord/blah/watt-activation/part-117
  4. [4]Part 1879 facts
    ctx:discord/blah/watt-activation/part-187
  5. [5]Part 1921 fact
    ctx:discord/blah/watt-activation/part-192
  6. [6]Part 1901 fact
    ctx:discord/blah/watt-activation/part-190
  7. [7]Part 1943 facts
    ctx:discord/blah/watt-activation/part-194
  8. [8]Part 1851 fact
    ctx:discord/blah/watt-activation/part-185
  9. [9]Part 1891 fact
    ctx:discord/blah/watt-activation/part-189
  10. [10]Part 2078 facts
    ctx:discord/blah/watt-activation/part-207
  11. [11]Part 2081 fact
    ctx:discord/blah/watt-activation/part-208
  12. [12]Part 2201 fact
    ctx:discord/blah/watt-activation/part-220
  13. [13]Part 2331 fact
    ctx:discord/blah/watt-activation/part-233
  14. [14]Part 3475 facts
    ctx:discord/blah/watt-activation/part-347
  15. [15]Part 4101 fact
    ctx:discord/blah/watt-activation/part-410
  16. [16]Part 5641 fact
    ctx:discord/blah/watt-activation/part-564
  17. [17]Part 2222 facts
    ctx:discord/blah/watt-activation/part-222
  18. [18]673 facts
    ctx:discord/blah/watt-activation/67
    • full textwatt-activation-67
      text/plain2 KBdoc:agent/watt-activation-67/7efba5f2-4ec4-453b-9d73-df8423b87905
      Show excerpt
      [2026-03-07 16:00] xenonfun: --- Now, on the Lohe model — from the paper (arXiv 2109.14761): The Lohe model generalizes Kuramoto from S¹ (unit circle, scalar angles) to S^n / U(d) (unitary matrices). The dynamics become: U̇ᵢUᵢ† = iH…
  19. [19]692 facts
    ctx:discord/blah/watt-activation/69
    • full textwatt-activation-69
      text/plain2 KBdoc:agent/watt-activation-69/115feb57-96b9-47df-9acf-f435eab39352
      Show excerpt
      [2026-03-07 16:49] xenonfun: ``` [E_mhkan_h5] iter 10000/10000 | avg_loss=4.5126 | PPL=91.2 | r=0.000 | E=0.000 | clusters=0 | 134 it/s (68.6K tok/s) [E2_mhkan_h4] iter 2000/10000 | avg_loss=5.4540 | PPL…
  20. [20]1851 fact
    ctx:discord/blah/watt-activation/185
    • full textwatt-activation-185
      text/plain3 KBdoc:agent/watt-activation-185/fcee3d0e-68fc-4f0b-ad9d-157115bfbade
      Show excerpt
      [2026-03-10 02:38] lisamegawatts: i think this part is wrong, it should not init at zero they need frequencies. i also don't think it needs gelu, the linear error is inherently in the sphere; The Lohe sphere model, a generalization of the K…
  21. [21]1941 fact
    ctx:discord/blah/watt-activation/194
  22. [22]2066 facts
    ctx:discord/blah/watt-activation/206
    • full textwatt-activation-206
      text/plain2 KBdoc:agent/watt-activation-206/f5849082-cbd0-4eef-b2ec-fa71f040c9a9
      Show excerpt
      [2026-03-11 03:13] omega [bot]: Blending Lohe and Kuramoto methods to achieve linear-time computation is an intriguing idea—both operate on synchronization dynamics but differ in complexity and expressive power. Kuramoto's model is a class…
  23. [23]3452 facts
    ctx:discord/blah/watt-activation/345
    • full textwatt-activation-345
      text/plain3 KBdoc:agent/watt-activation-345/c59946eb-7ad9-465b-939c-f70436033800
      Show excerpt
      [2026-03-16 01:39] xenonfun: ⏺ Yes — principled noise injection is exactly what communications systems do. Three reasons it could help: 1. Stochastic resonance. In nonlinear systems (which Lohe sync IS), a small amount of noise can actua…
  24. [24]014e57c6 64a1 4baf A007 2f39ad6575843 facts
    ctx:claims/document/014e57c6-64a1-4baf-a007-2f39ad657584
    • full textxenonfun: Iter 500/500 | Loss: 7.7340 (PPL: 2284.72) | Avg(50): 7.7189 (PPL: 2250.37) | Be
      text/plain522 Bdiscord:msg/1d395cc5-5e38-4484-83e6-7b4722081ecb
      Show excerpt
      xenonfun: Iter 500/500 | Loss: 7.7340 (PPL: 2284.72) | Avg(50): 7.7189 (PPL: 2250.37) | Best: 6.8625 | LR: 1.00e-04 | 140.4 it/s (36.0K tok/s | 100.00%) | ETA: 0m 0s ====================================================================== Tra…

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