Capítulo de Libro
Attracting complex networks
Autor/es | Guerrero Suárez, Giovanny Fabián
Langa Rosado, José Antonio Suárez Fernández, Antonio |
Coordinador/Director | Commendatore, Pasquale
Matilla García, Mariano Varela Cabo, Luis Miguel Cánovas Peña, José Salvador |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2016 |
Fecha de depósito | 2017-01-25 |
Publicado en |
|
ISBN/ISSN | 9783319408019 9783319408033 0075-8442 2196-9957 |
Resumen | Real phenomena from different areas of Life Sciences can be described by complex networks, whose structure is usually determining their intrinsic dynamics. On the other hand, Dynamical Systems Theory is a powerful tool for ... Real phenomena from different areas of Life Sciences can be described by complex networks, whose structure is usually determining their intrinsic dynamics. On the other hand, Dynamical Systems Theory is a powerful tool for the study of evolution processes in real situations. The concept of global attractor is the central one in this theory. In the last decades there has been an intensive research in the geometrical characterization of global attractors. However, there still exists a weak connection between the asymptotic dynamics of a complex network and the structure of associated global attractors. In this paper we show that, in order to analyze the long-time behavior of the dynamics on a complex network, it is the topological and geometrical structure of the attractor the subject to take into account. In fact, given a complex network, a global attractor can be understood as the new attracting complex network which is really describing and determining the forwards dynamics of the phenomena. We illustrate our discussion with models of differential equations related to mutualistic complex networks in Economy and Ecology. |
Identificador del proyecto | MTM2011-22411
FQM-1492 FP7-IRSES MTM2012-31304 |
Cita | Guerrero Suárez, G.F., Langa Rosado, J.A., y Suárez Fernández, A. (2016). Attracting complex networks. En P. Commendatore, L.M. Varela Cabo, M. Matilla García, J.S. Cánovas Peña (Ed.), Complex networks and dynamics: social and economic interactions (pp. 309-327). Switzerland: Springer. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Attracting complex networks.pdf | 848.5Kb | [PDF] | Ver/ | |