Фазовая Кластеризация В Иерархическом Ансамбле Связанных Осцилляторов Ван Дер Поля

Abstract

We demonstrate phase clusterization in a hierarchical network of mutually coupled van der Pole oscillators. We find that in the system with random initial phases there is a coupling parameter, which corresponds to intermittent transition from non-synchronous state to synchronous. Clusterization does not decay if oscillators have non-identical natural frequencies or randomly distributed initial phases. In this structure, those elements that are placed on the same hierarchical level have equal phases.