Local analytic first integrals of planar analytic differential systems

Ilker E. Colak; Jaume Llibre; Claudia Valls

doi:https://doi.org/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

1 Citation (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

Access to Document

https://doi.org/10.1016/j.physleta.2013.03.001

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

Cite this

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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",

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T1 - Local analytic first integrals of planar analytic differential systems

AU - Colak, Ilker E.

AU - Llibre, Jaume

AU - Valls, Claudia

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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 - https://doi.org/10.1016/j.physleta.2013.03.001

DO - https://doi.org/10.1016/j.physleta.2013.03.001

M3 - Article

VL - 377

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