Comments on "Non-existence of Shilnikov chaos in continuous-time systems"

被引：0

作者：

A.ALGABA ^{[1
]}

F.FERNANDEZ-SANCHEZ ^{[2
]}

M.MERINO ^{[1
]}

A.J.RODRIGUEZ-LUIS ^{[2
]}

机构：

[1] Departamento de Matematicas,Centro de Investigacion de Fisica Teorica y Matematica FIMAT,University of Huelva

[2] Departamento de Matematica Aplicada II,E.S.Ingenieros,University of Sevilla, Camino de los Descubrimientos s/n

来源：

Applied Mathematics and Mechanics(English Edition) | 2013年 / 09期

关键词：

homoclinic chaos; heteroclinic chaos; non-existence of Shilnikov chaos;

D O I：

暂无

中图分类号：

O322 [非线性振动];

学科分类号：

080101 ;

摘要：

A paper, "Non-existence of Shilnikov chaos in continuous-time systems" was published in the journal Applied Mathematics and Mechanics(English Edition).The authors gave sufficient conditions for the non-existence of homoclinic and heteroclinic orbits in an nth-order autonomous system.Unfortunately,we show in this comment that the proof presented is erroneous and the result is invalid.We also provide two counterexamples of the wrong criterion stated by the authors.

引用

页码：1175 / 1176

页数：2

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