Lyapunov orbits in the n-vortex problem on the sphere
Abstract In the phase space reduced by rotation, we prove the existence of periodic orbits of the (n + 1)-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon at a fixed latitude and an additional vortex of intensity k at the north pole...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Carvalho, Adecarlos C. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Regular and chaotic dynamics - Pleiades Publishing, 2000, 20(2015), 3 vom: Mai, Seite 234-246 |
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| Übergeordnetes Werk: |
volume:20 ; year:2015 ; number:3 ; month:05 ; pages:234-246 |
| Links: |
|---|
| DOI / URN: |
10.1134/S156035471503003X |
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OLC2049279213 |
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| 520 | |a Abstract In the phase space reduced by rotation, we prove the existence of periodic orbits of the (n + 1)-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon at a fixed latitude and an additional vortex of intensity k at the north pole when the ideal fluid moves on the surface of a sphere. | ||
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Abstract In the phase space reduced by rotation, we prove the existence of periodic orbits of the (n + 1)-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon at a fixed latitude and an additional vortex of intensity k at the north pole when the ideal fluid moves on the surface of a sphere. © Pleiades Publishing, Ltd. 2015 |
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Abstract In the phase space reduced by rotation, we prove the existence of periodic orbits of the (n + 1)-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon at a fixed latitude and an additional vortex of intensity k at the north pole when the ideal fluid moves on the surface of a sphere. © Pleiades Publishing, Ltd. 2015 |
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Abstract In the phase space reduced by rotation, we prove the existence of periodic orbits of the (n + 1)-vortex problem emanating from a relative equilibrium formed by n unit vortices at the vertices of a regular polygon at a fixed latitude and an additional vortex of intensity k at the north pole when the ideal fluid moves on the surface of a sphere. © Pleiades Publishing, Ltd. 2015 |
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