From Kuramoto to Crawford¶
Strogatz, S. H. (2000). From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators. Physica D: Nonlinear Phenomena, 143(1–4), 1-4.
Cited by¶
3 citations across 3 artifacts.
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Primes¶
- Synchronization
- Framing problems involving multiple parallel processes as a synchronization challenge reorients thinking from individual-process behavior to emergent collective rhythm, the perspective shift Strogatz (2000) emphasizes in his review of the Kuramoto model where coherence is an order parameter rather than a per-oscillator property.
This sourceReview of 25 years of research on the Kuramoto model; formalizes the phase-relationship matrix and the threshold-coupling transition between incoherence and partial/full synchronization.
- Framing problems involving multiple parallel processes as a synchronization challenge reorients thinking from individual-process behavior to emergent collective rhythm, the perspective shift Strogatz (2000) emphasizes in his review of the Kuramoto model where coherence is an order parameter rather than a per-oscillator property.
- Temporal Synchronization and Phase Alignment
- The pattern encodes: independent-oscillators-with-heterogeneous-natural-periods → phase-relationship-matrix → coherence-or-destructive-interference → amplification-or-cancellation, a structural template Strogatz (2000) traces across populations of coupled oscillators in his review from Kuramoto to Crawford.
This sourceReview of 25 years of research on the Kuramoto model; formalizes the phase-relationship matrix and the threshold-coupling transition between incoherence and partial/full synchronization.
- The pattern encodes: independent-oscillators-with-heterogeneous-natural-periods → phase-relationship-matrix → coherence-or-destructive-interference → amplification-or-cancellation, a structural template Strogatz (2000) traces across populations of coupled oscillators in his review from Kuramoto to Crawford.
- Threshold-Driven Order Emergence
This sourceReview of 25 years of research on the Kuramoto model; formalizes the phase-relationship matrix and the threshold-coupling transition between incoherence and partial/full synchronization.
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