Lyapunov orbits in the n-vortex problem
Abstract In the reduced phase space by rotation, we prove the existence of periodic orbits of the n-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon, both in the plane and at a fixed latitude when the ideal fluid moves on the surface...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Carvalho, Adecarlos C. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Regular and chaotic dynamics - Pleiades Publishing, 2000, 19(2014), 3 vom: Mai, Seite 348-362 |
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| Übergeordnetes Werk: |
volume:19 ; year:2014 ; number:3 ; month:05 ; pages:348-362 |
| Links: |
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| DOI / URN: |
10.1134/S156035471403006X |
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| Katalog-ID: |
OLC2049278705 |
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| 520 | |a Abstract In the reduced phase space by rotation, we prove the existence of periodic orbits of the n-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon, both in the plane and at a fixed latitude when the ideal fluid moves on the surface of a sphere. In the case of a plane we also prove the existence of such periodic orbits in the (n + 1)-vortex problem, where an additional central vortex of intensity κ is added to the ring of the polygonal configuration. | ||
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10.1134/S156035471403006X doi (DE-627)OLC2049278705 (DE-He213)S156035471403006X-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn 30.20$jNichtlineare Dynamik bkl 31.00$jMathematik: Allgemeines bkl Carvalho, Adecarlos C. verfasserin aut Lyapunov orbits in the n-vortex problem 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2014 Abstract In the reduced phase space by rotation, we prove the existence of periodic orbits of the n-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon, both in the plane and at a fixed latitude when the ideal fluid moves on the surface of a sphere. In the case of a plane we also prove the existence of such periodic orbits in the (n + 1)-vortex problem, where an additional central vortex of intensity κ is added to the ring of the polygonal configuration. point vortices relative equilibria periodic orbits Lyapunov center theorem Cabral, Hildeberto E. aut Enthalten in Regular and chaotic dynamics Pleiades Publishing, 2000 19(2014), 3 vom: Mai, Seite 348-362 (DE-627)319106683 (DE-600)2023883-6 (DE-576)285635115 1560-3547 nnns volume:19 year:2014 number:3 month:05 pages:348-362 https://doi.org/10.1134/S156035471403006X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 30.20$jNichtlineare Dynamik VZ 106418947 (DE-625)106418947 31.00$jMathematik: Allgemeines VZ 106415808 (DE-625)106415808 AR 19 2014 3 05 348-362 |
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Abstract In the reduced phase space by rotation, we prove the existence of periodic orbits of the n-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon, both in the plane and at a fixed latitude when the ideal fluid moves on the surface of a sphere. In the case of a plane we also prove the existence of such periodic orbits in the (n + 1)-vortex problem, where an additional central vortex of intensity κ is added to the ring of the polygonal configuration. © Pleiades Publishing, Ltd. 2014 |
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Abstract In the reduced phase space by rotation, we prove the existence of periodic orbits of the n-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon, both in the plane and at a fixed latitude when the ideal fluid moves on the surface of a sphere. In the case of a plane we also prove the existence of such periodic orbits in the (n + 1)-vortex problem, where an additional central vortex of intensity κ is added to the ring of the polygonal configuration. © Pleiades Publishing, Ltd. 2014 |
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Abstract In the reduced phase space by rotation, we prove the existence of periodic orbits of the n-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon, both in the plane and at a fixed latitude when the ideal fluid moves on the surface of a sphere. In the case of a plane we also prove the existence of such periodic orbits in the (n + 1)-vortex problem, where an additional central vortex of intensity κ is added to the ring of the polygonal configuration. © Pleiades Publishing, Ltd. 2014 |
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2024-07-03T22:08:47.710Z |
| _version_ |
1803597410691186688 |
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