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

Author
Publication Year
2019
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.

Journal
Regular and Chaotic Dynamics
Volume
27
Start Page
797
Date Published
12/2018
Other Numbers
https://link.springer.com/article/10.1134/S1560354718060126
Category