On Spreading Dynamics in Discrete Small-World Networks

Authors:	Li Xiang, Department of Automation, Shanghai Jiao Tong University, China Chen Guanrong, Department of Electronic Engineering, City Universiy of Hong Kong, Hong Kong Wang Xiaofan, Department of Automation, Shanghai Jiao Tong University, China
Topic:	2.3 Non-Linear Control Systems
Session:	Chaos Control and Synchronization
Keywords:	Network topology, disease propagation, discrete-time network,dynamical behavior, bifurcation, chaos

Abstract

The dynamical behaviors of some general spreading phenomena indiscrete small-world networks are investigated. A new discretesmall-world spreading model is proposed, where typical spreadingdynamics, including period-doubling bifurcations and chaos, areanalyzed on the small-world probability and the nonlinearinteraction gain constant.