Arnold tongue
E1046814
concept in dynamical systems theory
feature of forced oscillatory systems
phenomenon in nonlinear dynamics
Arnold tongue is a concept in dynamical systems theory describing wedge-shaped regions in parameter space where oscillators become frequency-locked under periodic forcing.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Arnold tongue canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T13561559 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Arnold tongue Context triple: [Vladimir Arnold, knownFor, Arnold tongue]
-
A.
Bacorehui tongue
Bacorehui tongue is an indigenous, likely now-extinct language historically spoken by the Bacorehui people of northern Mexico.
-
B.
Zenkerella
Zenkerella is a rare and little-known African rodent genus, sometimes called the flightless anomalure, notable for its primitive characteristics and elusive, poorly documented lifestyle.
-
C.
Tongue
"Tongue" is a notable musical work by British singer, songwriter, and producer Uzoechi Emenike, better known as MNEK.
-
D.
Linguaglossa
Linguaglossa is a Sicilian town on the northern slopes of Mount Etna in southern Italy, known for its volcanic landscapes, wine production, and proximity to the Etna ski area.
-
E.
The Lip
The Lip is a nickname famously associated with legendary American boxer Muhammad Ali, highlighting his quick wit and outspoken personality.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Arnold tongue Target entity description: Arnold tongue is a concept in dynamical systems theory describing wedge-shaped regions in parameter space where oscillators become frequency-locked under periodic forcing.
-
A.
Bacorehui tongue
Bacorehui tongue is an indigenous, likely now-extinct language historically spoken by the Bacorehui people of northern Mexico.
-
B.
Zenkerella
Zenkerella is a rare and little-known African rodent genus, sometimes called the flightless anomalure, notable for its primitive characteristics and elusive, poorly documented lifestyle.
-
C.
Tongue
"Tongue" is a notable musical work by British singer, songwriter, and producer Uzoechi Emenike, better known as MNEK.
-
D.
Linguaglossa
Linguaglossa is a Sicilian town on the northern slopes of Mount Etna in southern Italy, known for its volcanic landscapes, wine production, and proximity to the Etna ski area.
-
E.
The Lip
The Lip is a nickname famously associated with legendary American boxer Muhammad Ali, highlighting his quick wit and outspoken personality.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
concept in dynamical systems theory
ⓘ
feature of forced oscillatory systems ⓘ phenomenon in nonlinear dynamics ⓘ |
| appearsInModel |
forced Stuart–Landau oscillator
ⓘ
forced van der Pol oscillator ⓘ standard circle map ⓘ |
| characterizedBy |
integer frequency ratios between oscillator and forcing
ⓘ
phase-locked solutions ⓘ rational rotation numbers ⓘ |
| dependsOn |
forcing amplitude
ⓘ
forcing frequency ⓘ intrinsic frequency of the oscillator ⓘ |
| describes |
frequency locking of oscillators under periodic forcing
ⓘ
wedge-shaped regions in parameter space ⓘ |
| field |
dynamical systems
ⓘ
mathematical physics ⓘ nonlinear dynamics ⓘ |
| hasProperty |
boundaries correspond to loss of phase locking
ⓘ
each tongue corresponds to a specific rational frequency ratio p:q ⓘ tongue width typically increases with forcing amplitude ⓘ tongues can overlap at large forcing amplitudes ⓘ |
| hasShape |
tongue-like region in parameter space
ⓘ
wedge-shaped region ⓘ |
| mathematicalContext |
bifurcation theory
ⓘ
rotation theory of circle maps ⓘ torus maps and quasi-periodicity ⓘ |
| namedAfter | Vladimir Arnold ⓘ |
| occursIn |
forced nonlinear oscillators
ⓘ
parameter space of driven oscillators ⓘ phase-locked regions of circle maps ⓘ phase-locked regions of the standard circle map ⓘ synchronization diagrams ⓘ |
| relatedTo |
Devil's staircase
ⓘ
circle map ⓘ frequency locking ⓘ mode locking ⓘ phase locking ⓘ resonance in nonlinear systems ⓘ synchronization ⓘ |
| usedIn |
analysis of phase-locked loops
ⓘ
analysis of synchronization in biological oscillators ⓘ analysis of synchronization in circadian rhythms ⓘ analysis of synchronization in electronic circuits ⓘ analysis of synchronization in laser systems ⓘ analysis of synchronization in neural oscillators ⓘ study of entrainment by periodic forcing ⓘ |
| visualizedAs |
regions in a two-parameter plane
ⓘ
tongue-like domains emanating from rational frequency ratios ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Arnold tongue Description of subject: Arnold tongue is a concept in dynamical systems theory describing wedge-shaped regions in parameter space where oscillators become frequency-locked under periodic forcing.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.