Analytic integrability of a Chua system

Jaume Llibre; Clàudia Valls

doi:10.1063/1.2992481

Analytic integrability of a Chua system

Jaume Llibre, Clàudia Valls

Departament de Matemàtiques

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Resum

We consider the system ẋ = a (z- a1x3 - a 2x2 - bx), ẏ = -z, ż = - b1x+y+b 2z, where a and b are parameters and b1 =7/10, b 2 = 6/25, a1 = 44/3, and a2 = 41/2. We analyze the existence of local and global analytic first integrals. © 2008 American Institute of Physics.

Idioma original	Anglès
Número d’article	102701
Revista	Journal of Mathematical Physics
Volum	49
DOIs	https://doi.org/10.1063/1.2992481
Estat de la publicació	Publicada - 10 de nov. 2008

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10.1063/1.2992481

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@article{b6cca0129b8f439199592eedd14f6aef,

title = "Analytic integrability of a Chua system",

abstract = "We consider the system ẋ = a (z- a1x3 - a 2x2 - bx), ẏ = -z, {\.z} = - b1x+y+b 2z, where a and b are parameters and b1 =7/10, b 2 = 6/25, a1 = 44/3, and a2 = 41/2. We analyze the existence of local and global analytic first integrals. {\textcopyright} 2008 American Institute of Physics.",

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

year = "2008",

month = nov,

day = "10",

doi = "10.1063/1.2992481",

language = "English",

volume = "49",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

}

TY - JOUR

T1 - Analytic integrability of a Chua system

AU - Llibre, Jaume

AU - Valls, Clàudia

PY - 2008/11/10

Y1 - 2008/11/10

N2 - We consider the system ẋ = a (z- a1x3 - a 2x2 - bx), ẏ = -z, ż = - b1x+y+b 2z, where a and b are parameters and b1 =7/10, b 2 = 6/25, a1 = 44/3, and a2 = 41/2. We analyze the existence of local and global analytic first integrals. © 2008 American Institute of Physics.

AB - We consider the system ẋ = a (z- a1x3 - a 2x2 - bx), ẏ = -z, ż = - b1x+y+b 2z, where a and b are parameters and b1 =7/10, b 2 = 6/25, a1 = 44/3, and a2 = 41/2. We analyze the existence of local and global analytic first integrals. © 2008 American Institute of Physics.

UR - https://www.scopus.com/pages/publications/55349121859

U2 - 10.1063/1.2992481

DO - 10.1063/1.2992481

M3 - Article

SN - 0022-2488

VL - 49

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

M1 - 102701

ER -

Analytic integrability of a Chua system

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