Continuous Choreographies as Limiting Solutions of N-body Type Problems with Weak Interaction

We consider the limit N→+∞ of N-body type problems with weak interaction, equal masses and −σ-homogeneous potential, 0<σ<1. We obtain the integro-differential equation that the motions must satisfy, with limit choreographic solutions corresponding to travelling waves of this equation. Such equ...

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Datum:2016
Hauptverfasser: Castaneira, R., Padilla, P., Sánchez-Morgado, H.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2016
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/148005
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Continuous Choreographies as Limiting Solutions of N-body Type Problems with Weak Interaction / R. Castaneira, P. Padilla, H. Sánchez-Morgado // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 8 назв. — англ.

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