Palacián Subiela, Jesús Francisco

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https://academica-e.unavarra.es/handle/2454/49728

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Palacián Subiela

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Jesús Francisco

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Estadística, Informática y Matemáticas

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InaMat2. Instituto de Investigación en Materiales Avanzados y Matemáticas

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0000-0002-0974-6656

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88482

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1715

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Start date: 1997 × End date: 1999 ×

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    PublicationOpen Access
    Models of elliptical galaxies in 1-1-1 resonance and their normalization: the 3D hénon and heiles system
    (Springer Nature, 1997) Ferrer, S.; Viartola, A.; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia; San Juan Díaz, Juan Félix; Ingeniería Matemática e Informática; Matematika eta Informatika Ingeniaritza; Institute for Advanced Materials and Mathematics - INAMAT2; Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa
    In this Note we study perturbed isotropic harmonic oscillators in 1- 1-1 resonance, which is one of the typical cases of galactic potential models. We focus on cubic and quartic axial symmetric potentials giving explicitly their normal form. The 3D normalized Hénon and Heiles case, which requires to reach fourth order, is studied showing its relative equilibria and bifurcations.