From View of Complex Network:Fractal Dimension of Music Notation

摘要：

　　Recently,complex system has been considered by complex networks.The fractal and self-similarity properties are revealed in many real complex networks.The visibility graph which can convert a time series into a graph.In this paper,music notation is considered as a time series.And then,the fractal and self-similarity properties of music are revealed using box-covering algorithm of complex networks.The proposed method is applied to calculate the fractal dimensions of some real music.Our results show that the proposed method is efficient to study the fractal and self-similarity properties of music.

关键词： Fractal Visibility graph Complex networks Music

作者: Ningkui Wang Daijun Wei

作者单位: Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province,Enshi,445000,China Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province,Enshi,445000,China

会议类型: 国际会议

会议名称: 第26届中国控制与决策会议(2014 CCDC)

会议地点: 长沙

会议语种:英文

页码: 3647-3650

在线出版日期: 2014-05-31（万方平台首次上网日期，不代表论文的发表时间）