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Chaotification in the stretch-twist-fold (STF) flow.
- Source :
-
Chinese Science Bulletin . May2013, Vol. 58 Issue 14, p1655-1662. 8p. - Publication Year :
- 2013
-
Abstract
- Chaotic behavior and detailed parameter analysis of stretch-twist-fold (STF) flow are investigated. STF flow is associated with fluid particle motion which naturally arises in the dynamo theory. It proposes a mechanism, by which a celestial bodies, such as earth and sun, can maintain and amplify the magnetic field continuously. Parameter analysis is performed using linearization theory for different choices of parameters. The existence of Heteroclinic trajectory of Sil'nikov type is proved using an undetermined coefficient method. It connects two non trivial equilibrium points. As a consequence, the Sil'nikov criterion guarantees that STF flow has Smale horseshoes chaos. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10016538
- Volume :
- 58
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- Chinese Science Bulletin
- Publication Type :
- Academic Journal
- Accession number :
- 87454375
- Full Text :
- https://doi.org/10.1007/s11434-013-5754-x