Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity

Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity

We give the topological classification of the global phase portraits in the Poincaré disc of the Kolmogorov systems ẋ=xa0+c1x+c2z2+c3z,ż=zc0+c1x+c2z2+c3z,which depend on five parameters and have infinitely many singular points at the infinity. We prove that these systems have 22 topologically dist...

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2022-01, Vol.104, p.106038, Article 106038
Hauptverfasser: Diz-Pita, Érika, Llibre, Jaume, Otero-Espinar, M. Victoria
Format: Artikel
Sprache:eng
Schlagworte:
Infinity
Kolmogorov system
Nonlinear systems
Parameter estimation
Phase portrait
Phase transitions
Photocatalysis
Poincaré disc
Portraits
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Zusammenfassung:We give the topological classification of the global phase portraits in the Poincaré disc of the Kolmogorov systems ẋ=xa0+c1x+c2z2+c3z,ż=zc0+c1x+c2z2+c3z,which depend on five parameters and have infinitely many singular points at the infinity. We prove that these systems have 22 topologically distinct phase portraits.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2021.106038