Local analytic first integrals of planar analytic differential systems

Ilker E. Colak; Jaume Llibre; Claudia Valls

doi:10.1016/j.physleta.2013.03.001

Local analytic first integrals of planar analytic differential systems

Ilker E. Colak, Jaume Llibre, Claudia Valls

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We study the existence of local analytic first integrals of a class of analytic differential systems in the plane, obtained from the Chua's system studied in L.O. Chua (1992, 1995), N.V. Kuznetsov et al. (2011), G.A. Leonov et al. (2012) [6,7,11,13]. The method used can be applied to other analytic differential systems. © 2013 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	1065-1069
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	377
Issue number	15
DOIs	https://doi.org/10.1016/j.physleta.2013.03.001
Publication status	Published - 17 Jun 2013

Keywords

Analytic differential system
Analytic first integral

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10.1016/j.physleta.2013.03.001

https://ddd.uab.cat/record/150628

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title = "Local analytic first integrals of planar analytic differential systems",

abstract = "We study the existence of local analytic first integrals of a class of analytic differential systems in the plane, obtained from the Chua's system studied in L.O. Chua (1992, 1995), N.V. Kuznetsov et al. (2011), G.A. Leonov et al. (2012) [6,7,11,13]. The method used can be applied to other analytic differential systems. {\textcopyright} 2013 Elsevier B.V. All rights reserved.",

keywords = "Analytic differential system, Analytic first integral",

author = "Colak, {Ilker E.} and Jaume Llibre and Claudia Valls",

year = "2013",

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doi = "10.1016/j.physleta.2013.03.001",

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TY - JOUR

T1 - Local analytic first integrals of planar analytic differential systems

AU - Colak, Ilker E.

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2013/6/17

Y1 - 2013/6/17

N2 - We study the existence of local analytic first integrals of a class of analytic differential systems in the plane, obtained from the Chua's system studied in L.O. Chua (1992, 1995), N.V. Kuznetsov et al. (2011), G.A. Leonov et al. (2012) [6,7,11,13]. The method used can be applied to other analytic differential systems. © 2013 Elsevier B.V. All rights reserved.

AB - We study the existence of local analytic first integrals of a class of analytic differential systems in the plane, obtained from the Chua's system studied in L.O. Chua (1992, 1995), N.V. Kuznetsov et al. (2011), G.A. Leonov et al. (2012) [6,7,11,13]. The method used can be applied to other analytic differential systems. © 2013 Elsevier B.V. All rights reserved.

KW - Analytic differential system

KW - Analytic first integral

U2 - 10.1016/j.physleta.2013.03.001

DO - 10.1016/j.physleta.2013.03.001

M3 - Article

SN - 0375-9601

VL - 377

SP - 1065

EP - 1069

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 15

ER -

Local analytic first integrals of planar analytic differential systems

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Keywords

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