PASSIVE SCALARS AND 3-DIMENSIONAL LIOUVILLIAN MAPS

JHE CARTWRIGHT, M FEINGOLD, O PIRO

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish
Pages (from-to)22-33
JournalPhysica D: Nonlinear Phenomena
Volume76
Issue number1-3
StatePublished - 1 Sep 1994

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