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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Llibre, Jaume [1] ; Oliveira, Regilene [2] ; Valls, Claudia [3]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS; v. 24, n. 4, p. 473-494, 2017.
Web of Science Citations: 1
Abstract

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)

FAPESP's process: 14/00304-2 - Singularities of differentiable mappings: theory and applications
Grantee:Maria Aparecida Soares Ruas
Support Opportunities: Research Projects - Thematic Grants