On the Darboux integrability of a three-dimensional forced-damped differential system

Autor(es)

Llibre, Jaume ^[1] ; Oliveira, Regilene ^[2] ; Valls, Claudia ^[3]

Afiliação do(s) autor(es)

^[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain

^[2] Univ Sao Paulo, Dept Matemat, ICMC, Av Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil

^[3] Univ Lisbon, Dept Matemat, Inst Super Tecn, Av Rovisco Pais, P-1049001 Lisbon - Portugal

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS; v. 24, n. 4, p. 473-494, 2017.
• Citações Web of Science: 1

Resumo

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. (AU)

• Processo FAPESP: 14/00304-2 - Singularidades de aplicações diferenciáveis: teoria e aplicações
• Beneficiário: Maria Aparecida Soares Ruas
• Modalidade de apoio: Auxílio à Pesquisa - Temático