Web of Science: 2 citations, Scopus: 2 citations, Google Scholar: citations
On the global dynamics of a three-dimensional forced-damped differential system
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Martínez, Y. Paulina (Centre de Recerca Matemàtica)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))

Date: 2020
Abstract: 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.
Note: Número d'acord de subvenció MINECO/MTM2016-77278-P
Note: Número d'acord de subvenció AGAUR/2017/SGR-1617
Note: Número d'acord de subvenció EC/H2020/777911
Rights: Tots els drets reservats.
Language: Anglès
Document: article ; recerca ; acceptedVersion
Subject: Global dynamics ; Poincaré compactification ; Forced-damped system ; Invariant algebraic curve ; Invariant
Published in: Journal of Nonlinear Mathematical Physics, Vol. 27, Issue 3 (May 2020) , p. 414-428, ISSN 1776-0852

DOI: 10.1080/14029251.2020.1757232


Postprint
17 p, 725.3 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (scientific output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles

 Record created 2020-07-15, last modified 2021-02-01



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