title: From the Kuramoto-Sakaguchi model to the Kuramoto-Sivashinsky equation.
abstract: We derive the Kuramoto-Sivashinsky-type phase equation from the Kuramoto-Sakaguchi-type phase model via the Ott-Antonsen-type complex amplitude equation and demonstrate heterogeneity-induced collective-phase turbulence in nonlocally coupled individual-phase oscillators.
authors.affiliation: Institute for Research on Earth Evolution, Japan Agency for Marine-Earth Science and Technology, Yokohama 236-0001, Japan.
authors.forename: Yoji
authors.initials: Y
authors.lastname: Kawamura