Dynamical study while searching equilibrium solutions in \(N\)-body problem

DOI10.1016/J.CAM.2015.11.010zbMath1328.70006OpenAlexW2212347074MaRDI QIDQ896792

Dzmitry A. Budzko, José L. Hueso, Eulalia Martínez, Carles Teruel

Publication date: 14 December 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.11.010

zbMATH Keywords

equilibrium pointsNewton's methodnonlinear systemsN-body problemcomplex dynamicsseries approximations

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Dynamical systems over complex numbers (37F99)

Cites Work

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• Classifying quadratic maps from plane to plane
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• Chaotic dynamics of a third-order Newton-type method
• Reducing chaos and bifurcations in Newton-type methods
• Relative equilibrium solutions in the four body problem
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
• Real and complex dynamics of a family of birational maps of the plane: The golden mean subshift

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