2007/03/21 by Elena Kartashova, Guenther Mayrhofer, G. Mayrhofer · 2 citations
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Aquatic and Environmental Studies #Cluster (spacecraft) #Computer science #Construct (python library) #Graph #Mesoscopic physics #Multigraph #Nonlinear Dynamics and Pattern Formation #Physics #Quantum mechanics #Theoretical and Computational Physics #Theoretical computer science #nlin.PS
paper · pdf · doi:10.1016/j.physa.2007.07.035
published as Physica A: Statistical Mechanics and Its Applications 385 (2), pp. 527-542 (2007)
arxiv created 2007/03/21 · openalex publication_date 2007/07/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Graph-theoretical approach is used to study cluster formation in mesocsopic systems. Appearance of these clusters are due to discrete resonances which are presented in the form of a multigraph with labeled edges. This presentation allows to construct all non-isomorphic clusters in a finite spectral domain and generate corresponding dynamical systems automatically. Results of MATHEMATICA implementation are given and two possible mechanisms of cluster destroying are discussed.