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• W2000510171 abstract "We present an equation-free multiscale approach to the computational study of the collective dynamics of the Kuramoto model [Kuramoto, 1984], a prototypical model for coupled oscillator populations. Our study takes place in a reduced phase space of coarse-grained observables of the system: the first few moments of the oscillator phase angle distribution. We circumvent the derivation of explicit dynamical equations (approximately) governing the evolution of these coarse-grained macroscopic variables; instead we use the equation-free framework [Kevrekidis et al., 2003] to computationally solve these equations without obtaining them in closed form. In this approach, the numerical tasks for the conceptually existing but unavailable coarse-grained equations are implemented through short bursts of appropriately initialized simulations of the fine-scale, detailed coupled oscillator model. Coarse projective integration and coarse fixed point computations are illustrated." @default.
• W2000510171 created "2016-06-24" @default.
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• W2000510171 creator A5087768538 @default.
• W2000510171 date "2006-07-01" @default.
• W2000510171 modified "2023-09-24" @default.
• W2000510171 title "AN EQUATION-FREE APPROACH TO COUPLED OSCILLATOR DYNAMICS: THE KURAMOTO MODEL EXAMPLE" @default.
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• W2000510171 doi "https://doi.org/10.1142/s021812740601588x" @default.
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