Budzko, D.; Hueso Pagoaga, JL.; Martínez Molada, E.; Teruel-Ferragud, C. (2016). Dynamical study while searching equilibrium solutions in N-body problem. Journal of Computational and Applied Mathematics. 297:26-40. https://doi.org/10.1016/j.cam.2015.11.010
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/83822
Title:
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Dynamical study while searching equilibrium solutions in N-body problem
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Author:
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Budzko, Dzmitry
Hueso Pagoaga, José Luís
Martínez Molada, Eulalia
Teruel-Ferragud, Carles
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UPV Unit:
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Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació
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Issued date:
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Abstract:
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The theory of complex dynamics is usually applied to compare the global convergence
properties of different iterative methods, by obtaining the attraction basins for simple
polynomial equations in the complex domain. ...[+]
The theory of complex dynamics is usually applied to compare the global convergence
properties of different iterative methods, by obtaining the attraction basins for simple
polynomial equations in the complex domain. However, in this work, we use it in quite
another context: the study of a nontrivial nonlinear system that describes the motion of
interacting bodies in celestial mechanics, namely, Newtonian planar circular restricted
four-body problem and its relative equilibrium solutions. These have been investigated
from a dynamical point of view. New properties of the solutions of this system have been
obtained. Practical guidelines for efficient search of relative equilibrium solutions of Nbody
problem have been given.
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Subjects:
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N-body problem
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Equilibrium points
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Complex dynamics
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Nonlinear systems
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Newton s method
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Series approximations
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Journal of Computational and Applied Mathematics. (issn:
0377-0427
)
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DOI:
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10.1016/j.cam.2015.11.010
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.cam.2015.11.010
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Project ID:
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info:eu-repo/grantAgreement/MICINN//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES/
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Thanks:
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This research has been supported by Ministerio de Ciencia y Tecnologia MTM2014-52016-C2-02.
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Type:
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Artículo
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