The dominant state plays an essential role in the asymptotic analysis of dynamical systems. As global states of a 2D system are bilateral sequences, the existence of a dominant state implies that the free evolution of 2D global states converges to a suitable sequence, up to the multiplication by a normalizing factor. In this contribution the existence of a dominant state is analysed under the assumption that the initial global state is the Fourier Stieltjes transform of a bounded variation function.
The dominant global state in the asymptotic analysis of 2D systems
FORNASINI, ETTORE;ZAMPIERI, SANDRO
2001
Abstract
The dominant state plays an essential role in the asymptotic analysis of dynamical systems. As global states of a 2D system are bilateral sequences, the existence of a dominant state implies that the free evolution of 2D global states converges to a suitable sequence, up to the multiplication by a normalizing factor. In this contribution the existence of a dominant state is analysed under the assumption that the initial global state is the Fourier Stieltjes transform of a bounded variation function.File in questo prodotto:
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