From Clocks to Chaos¶
Glass, L., & Mackey, M. C. (1988). From Clocks to Chaos: The Rhythms of Life. Princeton University Press.
Cited by¶
4 citations across 4 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Cadence
- And nesting transfers from musical meter (beats within bars within phrases) to planning hierarchies (daily within weekly within quarterly) to biological rhythms (heartbeat within respiratory within circadian cycles) — each timescale served by its own tempo.
This sourceAnalyzes nested biological rhythms (cardiac within respiratory within circadian) as coupled oscillators at different rates.
- And nesting transfers from musical meter (beats within bars within phrases) to planning hierarchies (daily within weekly within quarterly) to biological rhythms (heartbeat within respiratory within circadian cycles) — each timescale served by its own tempo.
- Refractory Period
- It connects to circuit theory through the post-discharge recovery time of an RC element, and to chaotic-systems control, where refractory gating prevents period-doubling cascades.
This sourceTreats refractoriness in excitable/oscillatory biological systems, where a refractory window gates re-excitation and shapes period-doubling and chaotic dynamics.
- It connects to circuit theory through the post-discharge recovery time of an RC element, and to chaotic-systems control, where refractory gating prevents period-doubling cascades.
- Temporal Dynamics
- Synchronization is a special case—the subset of temporal dynamics where events are periodic and must be phase-aligned, a relationship Glass and Mackey (1988) develop in their treatment of biological rhythms as a continuum from periodic clocks to chaotic dynamics.
This sourceFoundational text on biological rhythms: establishes synchronization of periodic oscillators (cardiac pacemakers, circadian clocks, neural firing) as a special case of broader temporal-dynamic phenomena that can transition between regular, quasiperiodic, and chaotic regimes.
- Synchronization is a special case—the subset of temporal dynamics where events are periodic and must be phase-aligned, a relationship Glass and Mackey (1988) develop in their treatment of biological rhythms as a continuum from periodic clocks to chaotic dynamics.
- Temporal Synchronization and Phase Alignment
- Re-establishing phase alignment (electrical cardioversion) restores function.
This sourceFoundational text on biological rhythms: establishes synchronization of periodic oscillators (cardiac pacemakers, circadian clocks, neural firing) as a special case of broader temporal-dynamic phenomena that can transition between regular, quasiperiodic, and chaotic regimes.
- Re-establishing phase alignment (electrical cardioversion) restores function.
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