Analytic integrability of a Chua system

Jaume Llibre; Clàudia Valls

doi:https://doi.org/10.1063/1.2992481

Analytic integrability of a Chua system

Jaume Llibre, Clàudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Article number	102701
Journal	Journal of Mathematical Physics
Volume	49
DOIs	https://doi.org/10.1063/1.2992481
Publication status	Published - 10 Nov 2008

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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 = "https://doi.org/10.1063/1.2992481",

language = "English",

volume = "49",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

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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.

U2 - https://doi.org/10.1063/1.2992481

DO - https://doi.org/10.1063/1.2992481

M3 - Article

VL - 49

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

M1 - 102701

ER -