Estimating the degree distribution in coupled chaotic oscillator networksShou-Liang Bu1, 2 and I-Min Jiang1
1 Department of Physics, National Sun Yat-sen University - Kaohsiung, 804 Taiwan, ROC
2 School of Physics and Optoelectronic Technology, Dalian University of Technology - 116024 Dalian, PRC
received 31 October 2007; accepted in final form 28 April 2008; published June 2008
published online 29 May 2008
This work presents a novel method for estimating the degree distributions of coupled chaotic oscillator networks via time series obtained from controlled measurements of networks stable dynamics. The proposed method does not require explicit analytical knowledge of the dynamic system, and can be applied to networks with various topological structures. This work focuses on networks with around 10% of possible connections between vertices, although the method generally succeeds with lesser accuracy for higher connectivity percentages. No study has evaluated the degree distribution P(k) from measured time series only. Furthermore, the proposed scheme is very robust against noise.
89.75.-k - Complex systems.
05.45.Tp - Time series analysis.
02.60.Cb - Numerical simulation; solution of equations.
© EPLA 2008