Food Web of Smallmouth Bass Leech Little Rock Lake ●●
From time series to complex networks Time series is an output form of a ' complex system Generally, a complex system is a kind of complex network, or is able to described by complex network with a suitable mapping
From time series to complex networks • Time series is an output form of a ‘complex’ system • Generally, a complex system is a kind of complex network, or is able to described by a complex network with a suitable mapping
How to define a network from a time series? or, how to map a time series to a network? What is node? what is edge
How to define a network from a time series? or, how to map a time series to a network? What is node? What is edge?
Solution 1 Cycle correlation approach
Solution 1 Cycle correlation approach
Cycle Correlation approach Divide a time series to a sequence of cycles Each cycle is a node in the mapped network Determine the edge between two cycles over some threshold linear correlation (in experiment Zhang and Small, Physical Review Letters, 96, 238701(2006)
Cycle Correlation approach • Divide a time series to a sequence of cycles • Each cycle is a node in the mapped network • Determine the edge between two cycles over some threshold: - linear correlation (in experiment) Zhang and Small, Physical Review Letters, 96, 238701 (2006)