Journal
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
Volume 27, Issue 3, Pages 509-519Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/14029251.2020.1757240
Keywords
Lotka-Volterra system; phase portraits; Poincare ball
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Funding
- Ministerio de Economia, Industria y Competitividad, Agencia Estatal de Investigacion [MTM2016 -77278 -P, MDM - 2014 - 0445]
- Agencia de Gestio d'Ajuts Universitaris i de Recerca grant [2017SGR1617]
- European Research Council [MSCA-RISE-2017-777911]
- CONICYT PCHA/Postdoctorado en el extranjero Becas Chile/2018 [74190062]
- FCT/Portugal [UID/MAT/04459/2013]
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In this work we consider the Lotka-Volterra system in Double-struck capital R-3 introduced recently in [7], and studied also in [8] and [14]. In the first two papers the authors mainly studied the integrability of this differential system, while in the third paper they studied the system as a Hamilton- Poisson system, and also started the analysis of its dynamics. Here we provide the global phase portraits of this 3-dimensional Lotka-Volterra system in the Poincare ball, that is in Double-struck capital R-3 adding its extension to the infinity.
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