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On passage through resonances in volume-preserving systems | | D.L.Vainchtein
; A.I.Neishtadt
; I.Mezic
; | | Date: |
21 Apr 2006 | | Subject: | Chaotic Dynamics | | Abstract: | Resonance processes are common phenomena in multiscale (slow-fast) systems. In the present paper we consider capture into resonance and scattering on resonance in 3-D volume-preserving slow-fast systems. We propose a general theory of those processes and apply it to a class of viscous Taylor-Couette flows between two counter-rotating cylinders. We describe the phenomena during a single passage through resonance and show that multiple passages lead to the chaotic advection and mixing. We calculate the width of the mixing domain and estimate a characteristic time of mixing. We show that the resulting mixing can be described using a diffusion equation with a diffusion coefficient depending on the averaged effect of the passages through resonances. | | Source: | arXiv, nlin/0604047 | | Services: | Forum | Review | PDF | Favorites | |
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