Self-entrainment of a population of coupled non-linear oscillators¶
Kuramoto, Y. (1975). Self-entrainment of a population of coupled non-linear oscillators. International Symposium on Mathematical Problems in Theoretical Physics, 39, 420-422.
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Primes¶
- Synchronization
- The core mechanism is feedback: each oscillator's phase influences its neighbors; neighbors' phases feed back, pulling the oscillator toward alignment, the basic dynamical structure Kuramoto (1975) formalized for ensembles of phase oscillators with weak sinusoidal coupling.
This sourceFoundational derivation of the Kuramoto model: ensemble of phase oscillators with weak sinusoidal coupling exhibits a phase transition from incoherence to collective synchrony at a critical coupling strength.
- The core mechanism is feedback: each oscillator's phase influences its neighbors; neighbors' phases feed back, pulling the oscillator toward alignment, the basic dynamical structure Kuramoto (1975) formalized for ensembles of phase oscillators with weak sinusoidal coupling.
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