Synchronization¶
Pikovsky, Rosenblum, & Kurths. (2001). Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge University Press.
Cited by¶
10 citations across 10 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Coupling
- Weak coupling enables modularity; tight coupling reduces it. Not synchronization. Synchronization is a dynamical outcome of coupling in some regimes (coupled oscillators locking frequency, phases aligning); coupling is the underlying relationship that makes synchronization possible
This sourceCanonical account of synchronization as a dynamical outcome of coupling among self-sustained oscillators (frequency entrainment, phase locking); supports the not-synchronization claim that coupling is the underlying relationship that makes synchronization possible.
Supported in partVerified against the publisher's abstract
The abstract presents synchronization as a universal dynamical phenomenon but does not mention coupling or modularity; it supports only the dynamical frame of the claim.
“These phenomena are universal and can be understood within a common framework based on modern nonlinear dynamics.”
- Weak coupling enables modularity; tight coupling reduces it. Not synchronization. Synchronization is a dynamical outcome of coupling in some regimes (coupled oscillators locking frequency, phases aligning); coupling is the underlying relationship that makes synchronization possible
- Oscillation
- Pikovsky, Rosenblum, and Kurths' 2001 treatment of synchronization
This sourceModern comprehensive treatment of synchronization in coupled oscillators, covering phase locking, Kuramoto model, chimera states, and applications across physics, biology, and engineering; establishes synchronization as a universal emergent phenomenon.
Supported in partVerified against the publisher's abstract
The work's own abstract confirms synchronization is treated as universal and understandable in one framework, but gives neither the 2001 date nor phase locking.
“These phenomena are universal and can be understood within a common framework based on modern nonlinear dynamics.”
- Pikovsky, Rosenblum, and Kurths' 2001 treatment of synchronization
- Synchronization
- Synchronization, as Pikovsky, Rosenblum, and Kurths (2001) define it in their canonical treatment, is the alignment of timing across multiple oscillating, repeating, or sequenced processes such that key events co-occur or maintain stable phase relationships.
This sourceModern comprehensive treatment of synchronization in coupled oscillators, covering phase locking, Kuramoto model, chimera states, and applications across physics, biology, and engineering; establishes synchronization as a universal emergent phenomenon.
Supported in partVerified against the publisher's abstract
The publisher abstract supports the frame — this is the standard comprehensive treatment of synchronization in nonlinear dynamics — but states no definition, so the attributed wording is unverified.
“The remainder of the book presents the main effects of synchronization in a rigorous and systematic manner, describing classical results on synchronization of periodic oscillators, and recent developments in chaotic systems, large ensembles, and oscillatory media.”
- Synchronization, as Pikovsky, Rosenblum, and Kurths (2001) define it in their canonical treatment, is the alignment of timing across multiple oscillating, repeating, or sequenced processes such that key events co-occur or maintain stable phase relationships.
- Temporal Dynamics
- The structural insight is robust: a bacterial colony's growth trajectory, an immune response's timing, a startup's hiring order, a forest's recovery sequence, and a circuit's clock synchronization all exhibit the same dependency on event arrangement, a universality that Pikovsky, Rosenblum, and Kurths (2001) catalog across nonlinear sciences.
This sourceModern comprehensive treatment of synchronization in coupled oscillators, covering phase locking, Kuramoto model, chimera states, and applications across physics, biology, and engineering; establishes synchronization as a universal emergent phenomenon.
Supported in partVerified against the publisher's abstract
The book's own abstract establishes synchronization as a universal phenomenon within nonlinear dynamics, but says nothing about a shared dependency on event arrangement in bacterial growth, immune timing, hiring order, or forest recovery.
“These phenomena are universal and can be understood within a common framework based on modern nonlinear dynamics.”
- The structural insight is robust: a bacterial colony's growth trajectory, an immune response's timing, a startup's hiring order, a forest's recovery sequence, and a circuit's clock synchronization all exhibit the same dependency on event arrangement, a universality that Pikovsky, Rosenblum, and Kurths (2001) catalog across nonlinear sciences.
- Temporal Synchronization and Phase Alignment
- Unlike simple coordination, which may involve temporal overlap, phase alignment captures the specific structural property of oscillatory systems: the degree to which multiple cycles constructively or destructively interfere, as Pikovsky, Rosenblum, and Kurths (2001) detail in their canonical treatise on synchronization as a universal concept.
This sourceModern comprehensive treatment of synchronization in coupled oscillators, covering phase locking, Kuramoto model, chimera states, and applications across physics, biology, and engineering; establishes synchronization as a universal emergent phenomenon.
Supported in partVerified against the publisher's abstract
The publisher abstract confirms synchronization as universal among coupled oscillators, but never states the constructive/destructive interference framing of phase alignment.
“These phenomena are universal and can be understood within a common framework based on modern nonlinear dynamics.”
- Unlike simple coordination, which may involve temporal overlap, phase alignment captures the specific structural property of oscillatory systems: the degree to which multiple cycles constructively or destructively interfere, as Pikovsky, Rosenblum, and Kurths (2001) detail in their canonical treatise on synchronization as a universal concept.
Domain-specific¶
Mechanisms¶
- Phase-Alignment Protocol
- The phenomenon underneath is phase-locking
This sourceTreats phase locking and frequency entrainment as core synchronization phenomena in coupled oscillators.
- The phenomenon underneath is phase-locking
- Weak-Coupling Ramp Trial
- A ramp explores capture from the weak side, and the state reached that way can differ from what the system settles into from other initial conditions — capture and release thresholds are often not the same, a hysteresis
This sourceShows hysteresis when transitions between synchronized states occur at different parameter values on increasing and decreasing sweeps.
- A ramp explores capture from the weak side, and the state reached that way can differ from what the system settles into from other initial conditions — capture and release thresholds are often not the same, a hysteresis
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Read against the text for 5 of 10 citations: 5 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
Was it audited? Yes. A second, independent pass read the citation against the article text and recorded a verdict.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:fa8658e8629a · see in the full table