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Pàgina inicial > Articles > Articles publicats > On the Darboux integrability of a three-dimensional forced-damped differential system |
Títol variant: | On the integrability of a three-dimensional forced-damped differential system |
Data: | 2017 |
Resum: | In 2011 Pehlivan proposed a three-dimensional forced-damped autonomous differential system which can display simultaneously unbounded and chaotic solutions. This untypical phenomenon has been studied recently by several authors. In this paper we study the opposite to its chaotic motion, i. e. its integrability, mainly the existence of polynomial, rational and Darboux first integrals through the analysis of its invariant algebraic surfaces and its exponential factors. |
Ajuts: | Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Invariant algebraic surfaces ; Exponential factors ; First integral ; Four-scroll chaotic system |
Publicat a: | Journal of Nonlinear Mathematical Physics, Vol. 24, Issue 4 (September 2017) , p. 473-494, ISSN 1776-0852 |
Postprint 22 p, 232.4 KB |