2009/07/31 by Elena Kartashova · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Artificial intelligence #Chaotic #Cluster (spacecraft) #Cluster analysis #Coastal and Marine Dynamics #Computer science #Field (mathematics) #Integrable system #Mathematical physics #Mathematics #Mechanics #Nonlinear system #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes #Physics #Pure mathematics #Quantum mechanics #Representation (politics) #Resonance (particle physics) #Space (punctuation) #Statistical physics #Turbulence #physics.flu-dyn #physics.gen-ph
paper · pdf · doi:10.1209/0295-5075/87/44001
published as EPL 87 (2009) 44001 · Presentation of NR-diagrams is improved, comparision with Feynman diagrams is added, typo corrected
openalex publication_date 2009/08/01 · arxiv created 2009/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this letter we propose discrete wave turbulence (DWT) as a counterpart of classical statistical wave turbulence (SWT). DWT is characterized by resonance clustering, not by the size of clusters, i.e. it includes, but is not reduced to, the study of low-dimensional systems. Clusters with integrable and chaotic dynamics co-exist in different sub-spaces of the k -space. NR-diagrams are introduced, a graphical representation of an arbitrary resonance cluster allowing to reconstruct uniquely dynamical system describing the cluster. DWT is shown to be a novel research field in nonlinear science, with its own methods, achievements and application areas.