Growth of a tree with allocations rules: Part 2 Dynamics

Olivier Bui (1, 2) , Xavier Leoncini (1, 2)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - E7 Systèmes dynamiques : théories et applications

Following up on a previous work we examine a model of transportation network in some source-sink flow paradigm subjected to growth and resource allocation. The model is inspired from plants, and we add rules and factors that are analogous to what plants are subjected to. We study how different resource allocation schemes affect the tree and how the schemes interact with additional factors such as embedding the network into a 3D space and applying gravity or shading. The different outcomes are discussed.PACS. 05.45.-a Nonlinear dynamics and chaos-05.65.+b Self-organized systems

Domaines: Adaptation et Systèmes auto-organisés [nlin.AO]

Olivier Bui, Xavier Leoncini. Growth of a tree with allocations rules: Part 2 Dynamics. The European Physical Journal B: Condensed Matter and Complex Systems, 2021, 94 (1), pp.3. ⟨10.1140/epjb/s10051-020-00020-8⟩. ⟨hal-02878125⟩