Global Dynamics of a System Coming from the Study of a Static Star

Jaume Llibre; Claudia Valls

doi:10.1007/s12591-021-00588-2

Global Dynamics of a System Coming from the Study of a Static Star

Jaume Llibre, Claudia Valls^*

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

University of Lisbon (ULisboa)

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Resum

We classify the global dynamics of a one-parameter family of planar quadratic polynomial differential systems which for some interval of values of its parameter describes the evolution of a static star. The characterization of their distinct topological phase portraits is done in the Poincaré disc. In this way we can describe the dynamics of these systems near infinity and to provide their global phase portrait.

Idioma original	Anglès
Pàgines (de-a)	607-617
Nombre de pàgines	11
Revista	Differential Equations and Dynamical Systems
Volum	32
Número	2
DOIs	https://doi.org/10.1007/s12591-021-00588-2
Estat de la publicació	Publicada - 14 de gen. 2022

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10.1007/s12591-021-00588-2

https://ddd.uab.cat/record/299744

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title = "Global Dynamics of a System Coming from the Study of a Static Star",

abstract = "We classify the global dynamics of a one-parameter family of planar quadratic polynomial differential systems which for some interval of values of its parameter describes the evolution of a static star. The characterization of their distinct topological phase portraits is done in the Poincar{\'e} disc. In this way we can describe the dynamics of these systems near infinity and to provide their global phase portrait.",

keywords = "Global dynamics, Phase portraits, Poincar{\'e} compactification, Static star",

author = "Jaume Llibre and Claudia Valls",

note = "Publisher Copyright: {\textcopyright} 2022, Foundation for Scientific Research and Technological Innovation.",

year = "2022",

month = jan,

day = "14",

doi = "10.1007/s12591-021-00588-2",

language = "English",

volume = "32",

pages = "607--617",

journal = "Differential Equations and Dynamical Systems",

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T1 - Global Dynamics of a System Coming from the Study of a Static Star

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2022/1/14

Y1 - 2022/1/14

N2 - We classify the global dynamics of a one-parameter family of planar quadratic polynomial differential systems which for some interval of values of its parameter describes the evolution of a static star. The characterization of their distinct topological phase portraits is done in the Poincaré disc. In this way we can describe the dynamics of these systems near infinity and to provide their global phase portrait.

AB - We classify the global dynamics of a one-parameter family of planar quadratic polynomial differential systems which for some interval of values of its parameter describes the evolution of a static star. The characterization of their distinct topological phase portraits is done in the Poincaré disc. In this way we can describe the dynamics of these systems near infinity and to provide their global phase portrait.

KW - Global dynamics

KW - Phase portraits

KW - Poincaré compactification

KW - Static star

UR - https://www.scopus.com/pages/publications/85123125205

U2 - 10.1007/s12591-021-00588-2

DO - 10.1007/s12591-021-00588-2

M3 - Article

AN - SCOPUS:85123125205

SN - 0971-3514

VL - 32

SP - 607

EP - 617

JO - Differential Equations and Dynamical Systems

JF - Differential Equations and Dynamical Systems

IS - 2

ER -

Global Dynamics of a System Coming from the Study of a Static Star

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