Tsarin Kuramoto

Tsarin Kuramoto (ko Tsarin Kuramoto-Daido), wanda Yoshiki Kuramoto ya fara gabatar da shi, shine samfurin lissafi da aka yi amfani da shi wajen bayyana daidaitawa. Fiye da haka, samfurin ne don halayyar babban saiti na oscillators da aka haɗa. Tsarinsa ya motsa ta hanyar halayyar tsarin sinadarai da kwayoyin halitta, kuma ya sami aikace-aikace masu yawa a fannoni kamar su neuroscience da kuma yanayin harshen wuta. Kuramoto ya yi mamakin gaske lokacin da halayyar wasu tsarin jiki, wato haɗuwa da tsararru na Josephson junctions, ya bi tsarinsa.

Tsarin Kuramoto
ordinary differential equation (en)
Bayanai
Mai ganowa ko mai ƙirƙira	Yoshiki Kuramoto (en)
Defining formula (en)	${\dot {\theta }}_{i}=\omega _{i}+{\frac {k}{N}}\sum _{j=1}^{N}\sin(\theta _{j}-\theta _{i})$

Misali yana yin zato da yawa, gami da cewa akwai haɗuwa mai rauni, cewa oscillators iri ɗaya ne ko kusan iri ɗaya, kuma cewa hulɗar ta dogara da sinusoidally akan bambancin lokaci tsakanin kowane abu biyu.

Ma'anar

Mataki na kulle a cikin tsarin Kuramoto

A cikin shahararren samfurin Kuramoto, kowane oscillators an dauke shi da nasa nau'in halitta.