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

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

10.1016/j.physleta.2013.03.001

Cite this

Colak, I. E., Llibre, J., & Valls, C. (2013). Local analytic first integrals of planar analytic differential systems. Physics Letters, Section A: General, Atomic and Solid State Physics, 377(15), 1065-1069. https://doi.org/10.1016/j.physleta.2013.03.001

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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.

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KW - Analytic first integral

U2 - 10.1016/j.physleta.2013.03.001

DO - 10.1016/j.physleta.2013.03.001

M3 - Article

VL - 377

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EP - 1069

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

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

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IS - 15

ER -