Darboux method and search of invariants for the Lotka-Volterra and complex quadratic systems

Laurent Cairó; Marc R. Feix; Jaume Llibre

doi:10.1063/1.532852

Darboux method and search of invariants for the Lotka-Volterra and complex quadratic systems

Laurent Cairó, Marc R. Feix, Jaume Llibre

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

21 Cites (Scopus)

Resum

The Darboux method introduces algebraic solutions quite useful to obtain invariant and first integrals of polynomial differential systems. Here we study the 2D Lotka-Volterra (LVS) and the complex quadratic system (QS) using straight lines for both and conics for the LVS. The conditions needed to obtain these invariants are given and a study of the phase space portrait is done. © 1999 American Institute of Physics.

Idioma original	Anglès
Pàgines (de-a)	2074-2091
Revista	Journal of Mathematical Physics
Volum	40
Número	4
DOIs	https://doi.org/10.1063/1.532852
Estat de la publicació	Publicada - 1 de gen. 1999

Accés al document

10.1063/1.532852

Altres arxius i enllaços

https://www.scopus.com/pages/publications/0033239775

Com citar-ho

@article{1b7071503f4140c083892244e2b22924,

title = "Darboux method and search of invariants for the Lotka-Volterra and complex quadratic systems",

abstract = "The Darboux method introduces algebraic solutions quite useful to obtain invariant and first integrals of polynomial differential systems. Here we study the 2D Lotka-Volterra (LVS) and the complex quadratic system (QS) using straight lines for both and conics for the LVS. The conditions needed to obtain these invariants are given and a study of the phase space portrait is done. {\textcopyright} 1999 American Institute of Physics.",

author = "Laurent Cair{\'o} and Feix, \{Marc R.\} and Jaume Llibre",

year = "1999",

month = jan,

day = "1",

doi = "10.1063/1.532852",

language = "English",

volume = "40",

pages = "2074--2091",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "4",

}

TY - JOUR

T1 - Darboux method and search of invariants for the Lotka-Volterra and complex quadratic systems

AU - Cairó, Laurent

AU - Feix, Marc R.

AU - Llibre, Jaume

PY - 1999/1/1

Y1 - 1999/1/1

N2 - The Darboux method introduces algebraic solutions quite useful to obtain invariant and first integrals of polynomial differential systems. Here we study the 2D Lotka-Volterra (LVS) and the complex quadratic system (QS) using straight lines for both and conics for the LVS. The conditions needed to obtain these invariants are given and a study of the phase space portrait is done. © 1999 American Institute of Physics.

AB - The Darboux method introduces algebraic solutions quite useful to obtain invariant and first integrals of polynomial differential systems. Here we study the 2D Lotka-Volterra (LVS) and the complex quadratic system (QS) using straight lines for both and conics for the LVS. The conditions needed to obtain these invariants are given and a study of the phase space portrait is done. © 1999 American Institute of Physics.

UR - https://www.scopus.com/pages/publications/0033239775

U2 - 10.1063/1.532852

DO - 10.1063/1.532852

M3 - Article

SN - 0022-2488

VL - 40

SP - 2074

EP - 2091

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 4

ER -

Darboux method and search of invariants for the Lotka-Volterra and complex quadratic systems

Resum

Accés al document

Altres arxius i enllaços

Fingerprint

Com citar-ho