The Dynamics of the Ladder System

Jaume Llibre; Clàudia Valls

doi:10.7566/JPSJ.93.014001

The Dynamics of the Ladder System

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Resumen

We consider the n-dimensional ladder system, that is the homogeneous differential systems of the form [Formula presented] introduced by Imai and Hirata for studying the integrability of a new class of Lotka-Volterra systems. Here we describe the dynamics of these Lotka-Volterra systems in arbitrary dimension.

Idioma original	Inglés
Publicación	Journal of the Physical Society of Japan
Volumen	93
N.º	1
DOI	https://doi.org/10.7566/JPSJ.93.014001
Estado	Publicada - 15 ene 2024

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title = "The Dynamics of the Ladder System",

abstract = "We consider the n-dimensional ladder system, that is the homogeneous differential systems of the form [Formula presented] introduced by Imai and Hirata for studying the integrability of a new class of Lotka-Volterra systems. Here we describe the dynamics of these Lotka-Volterra systems in arbitrary dimension.",

keywords = "Ladder systems, First integrals, Phase portrait, Integrability",

author = "Jaume Llibre and Cl{\`a}udia Valls",

year = "2024",

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day = "15",

doi = "10.7566/JPSJ.93.014001",

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T1 - The Dynamics of the Ladder System

AU - Llibre, Jaume

AU - Valls, Clàudia

PY - 2024/1/15

Y1 - 2024/1/15

N2 - We consider the n-dimensional ladder system, that is the homogeneous differential systems of the form [Formula presented] introduced by Imai and Hirata for studying the integrability of a new class of Lotka-Volterra systems. Here we describe the dynamics of these Lotka-Volterra systems in arbitrary dimension.

AB - We consider the n-dimensional ladder system, that is the homogeneous differential systems of the form [Formula presented] introduced by Imai and Hirata for studying the integrability of a new class of Lotka-Volterra systems. Here we describe the dynamics of these Lotka-Volterra systems in arbitrary dimension.

KW - Ladder systems

KW - First integrals

KW - Phase portrait

KW - Integrability

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UR - https://www.scopus.com/pages/publications/105004775427

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DO - 10.7566/JPSJ.93.014001

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JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

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The Dynamics of the Ladder System

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