Cluster formation in mesoscopic systems
arXiv:nlin/0703039 · doi:10.1016/j.physa.2007.07.035
Abstract
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.
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- Dynamics of nonlinear resonances in Hamiltonian systems
- Cluster Dynamics of Planetary Waves
- Nonlinear resonances of water waves
- Discrete exact and quasi-resonances of Rossby/drift waves on $\b$-plane with periodic boundary conditions
- Symbolic Computations for Nonlinear Resonances
- The hidden role of coupled wave network topology on the dynamics of nonlinear lattices