Continuous formulation of global invariant properties of 2D time-periodic chaotic flows

Citation
M. Giona et A. Adrover, Continuous formulation of global invariant properties of 2D time-periodic chaotic flows, PHYS LETT A, 256(1), 1999, pp. 31-38
Citations number
25
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
256
Issue
1
Year of publication
1999
Pages
31 - 38
Database
ISI
SICI code
0375-9601(19990524)256:1<31:CFOGIP>2.0.ZU;2-9
Abstract
This article analyzes the continuum-mechanical representation of the global invariant geometric properties of 2D time-periodic Hamiltonian systems and chaotic flows. An application of this analysis concerns the evolution in t ime of the invariant measure associated with the space-filling properties o f the invariant unstable foliation related in laminar chaotic flows to the pointwise intermaterial contact-area density between fluid elements. (C) 19 99 Elsevier Science B.V. All rights reserved.