Fractal Analysis on Human Behaviors Dynamics
arXiv:1012.4088 · doi:10.1016/j.physa.2012.06.063
Abstract
The study of human dynamics has attracted much interest from many fields recently. In this paper, the fractal characteristic of human behaviors is investigated from the perspective of time series constructed with the amount of library loans. The Hurst exponents and length of non-periodic cycles calculated through Rescaled Range Analysis indicate that the time series of human behaviors is fractal with long-range correlation. Then the time series are converted to complex networks by visibility graph algorithm. The topological properties of the networks, such as scale-free property, small-world effect and hierarchical structure imply that close relationships exist between the amounts of repetitious actions performed by people during certain periods of time, especially for some important days. Finally, the networks obtained are verified to be not fractal and self-similar using box-counting method. Our work implies the intrinsic regularity shown in human collective repetitious behaviors.
arXiv comment22 pages, 7 figures
References in corpus (21)
- Statistical mechanics of complex networks
- The structure and function of complex networks
- Understanding individual human mobility patterns
- Assortative mixing in networks
- The origin of bursts and heavy tails in human dynamics
- The scaling laws of human travel
- From time series to complex networks: the visibility graph
- Modeling bursts and heavy tails in human dynamics
- Origins of fractality in the growth of complex networks
- A Poissonian explanation for heavy-tails in e-mail communication
- The Visibility Graph: a new method for estimating the Hurst exponent of fractional Brownian motion
- Human Dynamics: The Correspondence Patterns of Darwin and Einstein
- Economic Fluctuations and Diffusion
- Scaling laws of human interaction activity
- Skeleton and fractal scaling in complex networks
- On Universality in Human Correspondence Activity
- Role of Activity in Human Dynamics
- Statistical properties of visibility graph of energy dissipation rates in three-dimensional fully developed turbulence
- Degree distribution of the visibility graphs mapped from fractional Brownian motions and multifractal random walks
- Modeling Human Dynamics with Adaptive Interest
- Emergence of good conduct, scaling and Zipf laws in human behavioral sequences in an online world
Cited by in corpus (6)
- Horizontal visibility graphs transformed from fractional Brownian motions: Topological properties versus Hurst index
- Emergence of good conduct, scaling and Zipf laws in human behavioral sequences in an online world
- A Visibility Graph Averaging Aggregation Operator
- Analytic degree distributions of horizontal visibility graphs mapped from unrelated random series and multifractal binomial measures
- Triadic time series motifs
- Modelling the Self-similarity in Complex Networks Based on Coulomb's Law