On the integrability of a Muthuswamy-Chua system

Jaume Llibre; Claudia Valls

doi:10.1142/S1402925112500295

On the integrability of a Muthuswamy-Chua system

Jaume Llibre, Claudia Valls

Departament de Matemàtiques

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Resum

In this paper we study the integrability of the Muthuswamy-Chua system $$x′=y, y′= -x/3+fracy/2-yz2/2, z′=y-αz-yz. For α=0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals. For α ≠ 0 we show that the system has no Darboux type first integrals. © 2012 2012 The Author(s).

Idioma original	Anglès
Número d’article	12500295
Revista	Journal of Nonlinear Mathematical Physics
Volum	19
Número	4
DOIs	https://doi.org/10.1142/S1402925112500295
Estat de la publicació	Publicada - 1 de des. 2012

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10.1142/S1402925112500295

https://ddd.uab.cat/record/150510

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https://www.scopus.com/pages/publications/84872042817

Com citar-ho

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title = "On the integrability of a Muthuswamy-Chua system",

abstract = "In this paper we study the integrability of the Muthuswamy-Chua system \$\$x′=y, y′= -x/3+fracy/2-yz2/2, z′=y-αz-yz. For α=0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals. For α ≠ 0 we show that the system has no Darboux type first integrals. {\textcopyright} 2012 2012 The Author(s).",

keywords = "Chua system, Darboux integrability, Darboux polynomials, exponential factor, generalized rational first integrals",

author = "Jaume Llibre and Claudia Valls",

year = "2012",

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day = "1",

doi = "10.1142/S1402925112500295",

language = "English",

volume = "19",

journal = "Journal of Nonlinear Mathematical Physics",

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TY - JOUR

T1 - On the integrability of a Muthuswamy-Chua system

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2012/12/1

Y1 - 2012/12/1

N2 - In this paper we study the integrability of the Muthuswamy-Chua system $$x′=y, y′= -x/3+fracy/2-yz2/2, z′=y-αz-yz. For α=0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals. For α ≠ 0 we show that the system has no Darboux type first integrals. © 2012 2012 The Author(s).

AB - In this paper we study the integrability of the Muthuswamy-Chua system $$x′=y, y′= -x/3+fracy/2-yz2/2, z′=y-αz-yz. For α=0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals. For α ≠ 0 we show that the system has no Darboux type first integrals. © 2012 2012 The Author(s).

KW - Chua system

KW - Darboux integrability

KW - Darboux polynomials

KW - exponential factor

KW - generalized rational first integrals

UR - https://www.scopus.com/pages/publications/84872042817

U2 - 10.1142/S1402925112500295

DO - 10.1142/S1402925112500295

M3 - Article

SN - 1402-9251

VL - 19

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

IS - 4

M1 - 12500295

ER -

On the integrability of a Muthuswamy-Chua system

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