Details

Autor(en) / Beteiligte

• Kritz, Maurício Vieira
• Santos, Marcelo Trindade dos

Titel

Dynamics, Systems, Dynamical Systems and Interaction Graphs

Ist Teil von

• Dynamics, Games and Science II, 2011, p.507-541

Ort / Verlag

Berlin, Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2011

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The theories of Graphs and Dynamical Systems are well established and mature mathematical disciplines. Their objects of study have been used to enlighten life phenomena at least since the nineteenth century. For a long while, these employ went along rather parallel paths. Recently, problems in the life sciences are challenging an encounter between them, particularly in what concerns understanding the interplay between the inherent organisation of living entities and their ever present dynamical character. We review part of these recent accomplishments from a perspective broad enough to contemplate the joint statement of problems involving interaction graphs and dynamical systems. This perspective allows for a sounder understanding of mathematical descriptions of natural systems dynamics. It is shown that graph properties may retract characteristics of the dynamical behaviour of systems. Moreover, dynamical characteristics associated to graphs properties apply to any dynamical systems sharing the same interaction graph. This stand highlights perspectives that enrich both the study of dynamical systems and their possible applications in the life and socio-economic sciences.