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Finding the complement of the invariant manifolds transverse to a given foliation for a 3D flow
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MacKay, Robert S. (2018) Finding the complement of the invariant manifolds transverse to a given foliation for a 3D flow. Regular and Chaotic Dynamics, 23 (6). pp. 797-802. doi:10.1134/S1560354718060126 ISSN 1560-3547.
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Official URL: https://doi.org/10.1134/S1560354718060126
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.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Regular and Chaotic Dynamics | ||||||||
Publisher: | M A I K Nauka - Interperiodica | ||||||||
ISSN: | 1560-3547 | ||||||||
Official Date: | November 2018 | ||||||||
Dates: |
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Volume: | 23 | ||||||||
Number: | 6 | ||||||||
Page Range: | pp. 797-802 | ||||||||
DOI: | 10.1134/S1560354718060126 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Re-use Statement: | This a preprint of the Work accepted for publication in Regular and Chaotic Dynamics © 2018, Pleiades Publishing, Ltd., 2018. | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Copyright Holders: | Pleiades Publishing, Ltd. 2018 | ||||||||
Date of first compliant deposit: | 12 November 2018 | ||||||||
Date of first compliant Open Access: | 13 November 2018 | ||||||||
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