The study of complex systems and dynamical behaviors in disordered-coupled random Boolean networks

• Main Authors: Yao-Chen Hung, 洪耀正
• Other Authors: Ming-Chung Ho
• Format: Others
• Language: zh-TW
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/72599054516666055598

博士 === 國立中山大學 === 物理學系研究所 === 94 === This paper investigates the complex systems and the dynamical behaviors in disordered-coupled random Boolean networks. In first part, we give a simple introduction to Kauffman’s network and cellular automata, and apply them to study the virus dynamics and spatial distribution of ant lions. In the second part, a disordered coupling mechanism is introduced to study the dynamical behaviors (especially the synchronization phenomena) of random Boolean networks. Though the interactions between networks are microscopic, we formulate a macroscopic coupled model to describe the dynamics of the original system. The model tallies well with the original system. When the coupling strength exceeds the critical value, the coupling is sufficient to overcome the divergent nature of non-linearity and mutual synchronization is achieved. The finite size effect and different coupling configuration are also under our discussion.