Biological rhythms and the behavior of populations of coupled oscillators¶
Winfree, A. T. (1967). Biological rhythms and the behavior of populations of coupled oscillators. Journal of Theoretical Biology, 16(1), 15-42.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Synchronization
- Biology & ecology: Firefly flash synchronization (Photinus pyralis, studied since 1686); circadian-rhythm entrainment to light-dark cycles (suprachiasmatic nucleus as master clock); cardiac-pacemaker coupling (sinoatrial node driving ventricular contraction); neural oscillations and gamma-band synchrony in binding and perception; predator–prey population oscillations; menstrual-cycle synchronization in cohabiting individuals—a span of biological rhythms whose unifying mathematical treatment Winfree (1967) introduced via the phase-resetting framework.
This sourceSeminal paper introducing phase-response and population-level coupling to biology; establishes that heterogeneous natural periods plus weak coupling yield emergent phase-locking, prefiguring the Kuramoto formalism.
- Biology & ecology: Firefly flash synchronization (Photinus pyralis, studied since 1686); circadian-rhythm entrainment to light-dark cycles (suprachiasmatic nucleus as master clock); cardiac-pacemaker coupling (sinoatrial node driving ventricular contraction); neural oscillations and gamma-band synchrony in binding and perception; predator–prey population oscillations; menstrual-cycle synchronization in cohabiting individuals—a span of biological rhythms whose unifying mathematical treatment Winfree (1967) introduced via the phase-resetting framework.
- Temporal Synchronization and Phase Alignment
- The prime captures a structural insight that the broader concepts of synchronization, coordination, and coupling do not fully articulate: that multiple processes with heterogeneous natural periods create complex interference patterns through their phase relationships, and that the dynamics of phase alignment and misalignment—not mere temporal overlap—determine system efficiency, throughput, stability, and emergent coherence, a structural emphasis Winfree (1967) introduced to the theory of biological rhythms.
This sourceSeminal paper introducing phase-response and population-level coupling to biology; establishes that heterogeneous natural periods plus weak coupling yield emergent phase-locking, prefiguring the Kuramoto formalism.
- The prime captures a structural insight that the broader concepts of synchronization, coordination, and coupling do not fully articulate: that multiple processes with heterogeneous natural periods create complex interference patterns through their phase relationships, and that the dynamics of phase alignment and misalignment—not mere temporal overlap—determine system efficiency, throughput, stability, and emergent coherence, a structural emphasis Winfree (1967) introduced to the theory of biological rhythms.
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