第１０９回「非線形・統計力学とその周辺」セミナーのご案内

日時：平成２２年２月１９日（金）１６時から

場所：京都大学工学部総合校舎１階１１１講義室（吉田キャンパス）

講演者： 藤原 直哉 (University of Potsdam)

講演題目：
Synchronization in networks of mobile oscillators

講演要旨：

Synchronization is one of the paradigmatic examples of emergence of
collective behaviors in populations of identical units, depending not
only on the type of individual dynamics but also on the pattern of
interactions. In nature we can find some examples of synchronization
where the connections between the units are not fixed in time. Here we
present a model of synchronization of oscillators that move on a 2-d
plane interacting only with other oscillators that are within a finite
range. Thus the network of interactions changes in time. Here we show
that there exists an optimal parameter regime where the short
synchronization time and high efficiency are attained. We complement
this particular model with a semi-analytical framework based on the
solution of the set of linearized equations with time dependent
interactions that can be applied to any type of complete
synchronization. This approach enables to estimate the asymptotic
behaviors of the system.