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Journal article
On passage through resonances in volume-preserving systems
Chaos (Woodbury, N.Y.), v 16(4), pp 043123-043123-11
01 Dec 2006
PMID: 17199401
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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 3D volume-preserving multiscale systems. We propose a general theory of those processes and apply it to a class of kinematic models inspired by 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 resultant mixing can be described using a diffusion equation with a diffusion coefficient depending on the averaged effect of the passages through resonances.
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Details
- Title
- On passage through resonances in volume-preserving systems
- Creators
- D. L. Vainchtein - Georgia Institute of TechnologyA. I. Neishtadt - Space Research InstituteI. Mezic - University of California, Santa Barbara
- Publication Details
- Chaos (Woodbury, N.Y.), v 16(4), pp 043123-043123-11
- Publisher
- American Institute of Physics (AIP)
- Number of pages
- 11
- Grant note
- 0400370 / NSF NSh 1312.2006.1 / RFBR ACI-0086061 / NSF 06-01-00117 / RFBR F49620-03-1-0096 / USAFOSR
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- C. and J. Nyheim Plasma Institute
- Web of Science ID
- WOS:000243157800029
- Scopus ID
- 2-s2.0-33846040252
- Other Identifier
- 991021861633504721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical