Synchronization¶
Pikovsky, A., Rosenblum, M., & Kurths, J. (2001). Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge University Press.
Cited by¶
8 citations across 8 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.
- 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.
- 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.
- 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.
- 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.
- 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¶
- 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¶
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