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Finding the Complement of the Invariant Manifolds Transverse to a Given Foliation for a 3D Flow.

Authors :
MacKay, Robert S.
Source :
Regular & Chaotic Dynamics; Nov2018, Vol. 23 Issue 6, p797-802, 6p
Publication Year :
2018

Abstract

A method is presented to establish regions of phase space for 3D vector fields through which pass no co-oriented invariant 2D submanifolds transverse to a given oriented 1D foliation. Refinements are given for the cases of volume-preserving or Cartan-Arnol'd Hamiltonian flows and for boundaryless submanifolds. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15603547
Volume :
23
Issue :
6
Database :
Complementary Index
Journal :
Regular & Chaotic Dynamics
Publication Type :
Academic Journal
Accession number :
133531153
Full Text :
https://doi.org/10.1134/S1560354718060126