Crafting networks to achieve, or not achieve, chaotic states

Sarah De Nigris, Xavier Leoncini

Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs


The influence of networks topology on collective properties of dynamical systems defined upon it is studied in the thermodynamic limit. A network model construction scheme is proposed where the number of links and the average eccentricity are controlled. This is done by rewiring links of a regular one-dimensional chain according to a probability p within a specific range r that can depend on the number of vertices N. We compute the thermodynamical behavior of a system defined on the network, the XY-rotors model, and monitor how it is affected by the topological changes. We identify the network effective dimension d as a crucial parameter: topologies with d<2 exhibit no phase transitions, while topologies with d>2 display a second-order phase transition. Topologies with d=2 exhibit states characterized by infinite susceptibility and macroscopic chaotic, turbulent dynamical behavior. These features are also captured by d in the finite size context.

langue originaleAnglais
Numéro d'article042809
journalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Numéro de publication4
Les DOIs
Etat de la publicationPublié - 27 avr. 2015

Empreinte digitale

Examiner les sujets de recherche de « Crafting networks to achieve, or not achieve, chaotic states ». Ensemble, ils forment une empreinte digitale unique.

Contient cette citation