TY - JOUR
T1 - Passive scalars and three-dimensional Liouvillian maps
AU - Cartwright, Julyan H.E.
AU - Feingold, Mario
AU - Piro, Oreste
N1 - Funding Information:
We thank K. Bajer, U. Frisch, L.P. Kadanoff, E. Moses, Y. Pomeau, I. Procaccia, E. Spiegel, M. Tabor and A. Vulpiani for useful discussions. This work has been supported in part by NSF-DMR under grant number 85-19460. M.F. acknowledges the support of an Allon Fellowship and O.P. and J.H.E.C. that of Direcci6n General de Investigaci6n Cientffica y T6cnica, contract number PB92-0046-c02-02 and EEC Human Capital and Mobility contract number ERBCHBICT920200.
PY - 1994/9/1
Y1 - 1994/9/1
N2 - Global aspects of the motion of passive scalars in time-dependent incompressible fluid flows are well described by volume-preserving (Liouvillian) three-dimensional maps. In this paper the possible invariant structures in Liouvillian maps and the two most interesting nearly-integrible cases are investigated. In addition, the fundamental role of invariant lines in organizing the dynamics of this type of system is exposed. Bifurcations involving the destruction of some invariant lines and tubes and the creation of new ones are described in detail.
AB - Global aspects of the motion of passive scalars in time-dependent incompressible fluid flows are well described by volume-preserving (Liouvillian) three-dimensional maps. In this paper the possible invariant structures in Liouvillian maps and the two most interesting nearly-integrible cases are investigated. In addition, the fundamental role of invariant lines in organizing the dynamics of this type of system is exposed. Bifurcations involving the destruction of some invariant lines and tubes and the creation of new ones are described in detail.
UR - http://www.scopus.com/inward/record.url?scp=0001832324&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(94)90247-X
DO - 10.1016/0167-2789(94)90247-X
M3 - Article
AN - SCOPUS:0001832324
VL - 76
SP - 22
EP - 33
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 1-3
ER -