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Opening up Fractal Structures of Three Dimensional Flows via Leaking

AuthorsTuval, Idan ; Schneider, Judit; Piro, Oreste ; Tél, Tamás
Keywords[PACS] Statistical physics, thermodynamics, and nonlinear dynamical systems: Fractals
[PACS] Fluid dynamics: Fractals
[PACS] Chaos
Issue Date1-Mar-2004
PublisherEDP Sciences
CitationEurophysics Letters 65(5): 633-639 (2004)
AbstractWe study the behavior of time periodic three-dimensional incompressible flows modelled by three-dimensional volume preserving maps in the presence of a leakage. The distribution of residence times, and the chaotic saddle together with its stable and unstable invariant manifolds are described and characterized. They shed light on typical filamentation of chaotic flows whose local stable and unstable manifolds are always of different character (plane or line). A possible application to magma flows is discussed.
Description7 pages, 3 figures.-- PACS nrs.: 05.45.Df, 47.53.+n, 47.52.+j.
Publisher version (URL)http://dx.doi.org/10.1209/epl/i2003-10177-0
Appears in Collections:(IFISC) Artículos
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