Chemical Oscillations, Waves, and Turbulence¶
Kuramoto, Y. (1984). Chemical Oscillations, Waves, and Turbulence. Springer.
Cited by¶
4 citations across 4 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Amplification
This sourceCanonical reference for the Kuramoto model of coupled phase oscillators (synchronization as a phase transition in coupling strength). Provided to define the currently-dangling inline `[^kuramoto]` citation if the prose retains it.
- Coherence Breakdown Under External Interaction
This sourceCanonical source for the Kuramoto model: coupled phase oscillators synchronize above a critical coupling and desynchronize as noise dominates — a phase transition structurally paralleling decoherence. Supplied to define the currently-DANGLING inline `[^ref-c9442d27334a]` citation (cited at line ~119 with no matching `
- Temporal Synchronization and Phase Alignment
- Temporal synchronization and phase alignment describes how multiple independent processes with different natural periods interact through their relative phase relationships to produce either coherence and amplification (when phases align) or interference and cancellation (when phases misalign), as Kuramoto (1984) developed in his foundational treatment of coupled oscillator dynamics.
This sourceFoundational monograph deriving the conditions under which coupled limit-cycle oscillators undergo a phase transition from incoherence to collective synchronization; integrates frequency-locking and coupling-strength as the joint requirements for disproportionate collective response.
Supported in partVerified against the publisher's abstract
The book's abstract confirms Kuramoto's monograph treats coupled nonlinear oscillators and cooperative behaviour of interacting subunits, but says nothing about phase alignment giving amplification or misalignment giving cancellation.
“in tbis book for the fields of coupled nonlinear oscillators.”
- Temporal synchronization and phase alignment describes how multiple independent processes with different natural periods interact through their relative phase relationships to produce either coherence and amplification (when phases align) or interference and cancellation (when phases misalign), as Kuramoto (1984) developed in his foundational treatment of coupled oscillator dynamics.
- Threshold-Driven Order Emergence
- Coupled-oscillator synchronization (Kuramoto 1984) exhibits threshold-driven order: below critical coupling strength K_c, oscillators remain incoherent; above K_c, they synchronize abruptly.
This sourceFoundational monograph deriving the conditions under which coupled limit-cycle oscillators undergo a phase transition from incoherence to collective synchronization; integrates frequency-locking and coupling-strength as the joint requirements for disproportionate collective response.
- Coupled-oscillator synchronization (Kuramoto 1984) exhibits threshold-driven order: below critical coupling strength K_c, oscillators remain incoherent; above K_c, they synchronize abruptly.
Verification¶
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Registry ID ref:9829a0d45c30 · see in the full table