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Página principal > Artículos > Artículos publicados > On the global dynamics of a three-dimensional forced-damped differential system |
Fecha: | 2020 |
Resumen: | In this paper by using the Poincaré compactification of ℝ³ we make a global analysis of the model xʹ = ax + y + yz, yʹ = x - ay + bxz, zʹ = cz - bxy. In particular we give the complete description of its dynamics on the infinity sphere. For a + c = 0 or b = 1 this system has invariants. For these values of the parameters we provide the global phase portrait of the system in the Poincaré ball. We also describe the α and ω-limit sets of its orbits in the Poincaré ball. |
Ayudas: | Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Global dynamics ; Poincaré compactification ; Forced-damped system ; Invariant algebraic curve ; Invariant |
Publicado en: | Journal of Nonlinear Mathematical Physics, Vol. 27, Issue 3 (May 2020) , p. 414-428, ISSN 1776-0852 |
Postprint 17 p, 725.3 KB |