Vector fields generating more than one flow
Vector fields generating more than one flow on a manifold are constructed. For one-dimensional case a complete description of the set of flows is given. For dimensions larger than one a method of constructing vector fields with dense or open branched sets sets is given. Density of vector fields with...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000238 |
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| _version_ | 1832550203634221056 |
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| author | Slawomir Dorosiewicz Kazimierz Napiórkowski |
| author_facet | Slawomir Dorosiewicz Kazimierz Napiórkowski |
| author_sort | Slawomir Dorosiewicz |
| collection | DOAJ |
| description | Vector fields generating more than one flow on a manifold are
constructed. For one-dimensional case a complete description of the set of flows
is given. For dimensions larger than one a method of constructing vector fields
with dense or open branched sets sets is given. Density of vector fields with
nonempty sets of branched points is studied. |
| format | Article |
| id | doaj-art-3780228890f94e1cb1e7e8f2cc7f00f9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3780228890f94e1cb1e7e8f2cc7f00f92025-02-03T06:07:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118118519610.1155/S0161171295000238Vector fields generating more than one flowSlawomir Dorosiewicz0Kazimierz Napiórkowski1Institute of Econometry, Central School of Planning and Statistics, AI. Niepodległości 162, Warsaw 02-519, PolandDepartment of Mathematical Methods in Physics, Warsaw University, Hoźa 74, Warsaw 00-682, PolandVector fields generating more than one flow on a manifold are constructed. For one-dimensional case a complete description of the set of flows is given. For dimensions larger than one a method of constructing vector fields with dense or open branched sets sets is given. Density of vector fields with nonempty sets of branched points is studied.http://dx.doi.org/10.1155/S0161171295000238dynamical systemsuniquenessCauchy problem. |
| spellingShingle | Slawomir Dorosiewicz Kazimierz Napiórkowski Vector fields generating more than one flow International Journal of Mathematics and Mathematical Sciences dynamical systems uniqueness Cauchy problem. |
| title | Vector fields generating more than one flow |
| title_full | Vector fields generating more than one flow |
| title_fullStr | Vector fields generating more than one flow |
| title_full_unstemmed | Vector fields generating more than one flow |
| title_short | Vector fields generating more than one flow |
| title_sort | vector fields generating more than one flow |
| topic | dynamical systems uniqueness Cauchy problem. |
| url | http://dx.doi.org/10.1155/S0161171295000238 |
| work_keys_str_mv | AT slawomirdorosiewicz vectorfieldsgeneratingmorethanoneflow AT kazimierznapiorkowski vectorfieldsgeneratingmorethanoneflow |