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DOI | 10.1007/S12346-018-0291-2 | ||||
Año | 2019 | ||||
Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
We consider the Hamiltonian function defined by the cubic polynomial H = 1/2(y(1)(2) + y(2)(2)) + V(x(1), x(2)) where the potential V(x) = delta V-2(x(1), x(2)) + V-3(x(1), x(2)), with V-2(x(1), x(2)) = 1/2(x(1)(2) + x(2)(2)) and V-3(x(1), x(2)) = 1/3x(1)(3) + f x(1)x(2)(2) + gx(2)(3), with f and g are real parameters such that f not equal 0 and delta is 0 or 1. Our objective is to study the number and bifurcations of the equilibria and its type of stability. Moreover, we obtain the existence of periodic solutions close to some equilibrium points and an isolated symmetric periodic solution distant of the equilibria for some convenient region of the parameters. We point out the role of the parameters and the difference between the homogeneous potential case (delta = 0) and the general case (delta = 1).
Ord. | Autor | Género | Institución - País |
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1 | Carrasco, D. | Hombre |
Universidad del Bío Bío - Chile
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2 | VIDAL-DIAZ, CLAUDIO | Hombre |
Universidad del Bío Bío - Chile
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Fuente |
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Project Fondecyt |
Fondo Nacional de Desarrollo Científico y Tecnológico |
Fondo Nacional de Desarrollo CientÃfico y Tecnológico |
Agradecimiento |
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We thank to the reviewer his/her comments and suggestions calling attention in important points which help us to improve this paper. Claudio Vidal was partially supported by project Fondecyt 1180288. |
We thank to the reviewer his/her comments and suggestions calling attention in important points which help us to improve this paper. Claudio Vidal was partially supported by project Fondecyt 1180288. |