Estudo sobre a estrutura e dinâmica de redes complexas

Author(s)

João Pinheiro Neto

• Document type: Master's Dissertation
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin
• Defense date: 2014-12-15

Examining board members

José Antonio Brum; Camilo Rodrigues Neto; Gabriela Castellano

• Advisor: Marcus Aloizio Martinez de Aguiar; José Antonio Brum

Abstract

In this Masters Dissertation we study the structure and dynamics of complex networks. We start with a revision of the literature of complex networks, presenting the most common network metrics and models of network connectivity. We then study in detail the dynamics of the Random Threshold Network (RTN) model. We develop a new mean-field approximation for the RTN dynamics that is considerably more simple than previous results. This new approximation is useful from a practical standpoint, since it allows the generation of RTNs where the average activity of the network is controlled. We then review the literature of Adaptive Networks, explaining some of the adaptive models with interesting characteristics. At last, we develop two models of adaptive networks inspired by the evolution of neuronal structure in the brain. The first model uses simple rules and a link-removing evolution to control the activity on the network. The inspiration is the removal of neurons and neuronal connections after infancy. This model can also control the activity of individual groups within the same network. We explore a variant of this model in a bi-dimensional space, where we are able to generate modular and small-world networks. The second model uses external inputs to control the topological evolution of the network. The inspiration in this case is the development of neuronal connections during the infancy, which is influenced by interactions with the environment. The model generates finite avalanches of activity, and is capable of generating specific and modular topologies using simple rules (AU)

• FAPESP's process: 12/18550-4 - A study of the dynamics of neural networks
• Grantee: João Pinheiro Neto
• Support Opportunities: Scholarships in Brazil - Master