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Эта публикация цитируется в 9 научных статьях (всего в 9 статьях)
Finding the Complement of the Invariant Manifolds Transverse to a Given Foliation for a 3D Flow
Robert S. MacKay Mathematics Institute, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, U.K.
Аннотация:
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.
Ключевые слова:
converse KAM theory, conefields, volume-preserving, Hamiltonian.
Поступила в редакцию: 08.09.2018 Принята в печать: 02.11.2018
Образец цитирования:
Robert S. MacKay, “Finding the Complement of the Invariant Manifolds Transverse to a Given Foliation for a 3D Flow”, Regul. Chaotic Dyn., 23:6 (2018), 797–802
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd367 https://www.mathnet.ru/rus/rcd/v23/i6/p797
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