| Comments on ＂Non-existence of Shilnikov chaos in continuous-time systems＂ |
| |
| 作者姓名： | A. ALGABA F. FERNANDEZ-SANCHEZ M. MERINO A.J. RODRIGUEZ-LUIS |
| |
| 作者单位： | [1]Departamento de Matematicas, Centro de InvestigaciSn de Fisica Teorica y Matematica FIMAT, University of Huelva, Huelva 21071, Spain [2]Departamento de Matematica Aplicada II, E.S. Ingenieros, University of Sevilla Camino de los Descubrimientos s/n, Sevilla 41092, Spain |
| |
| 基金项目： | Project supported by the Ministerio de EducaciSn y Ciencia, Plan Nacional I＋D＋I co-financed with FEDER Funds （No. MTM2010-20907-C02） and the Consejerfa de Educacidn y Ciencia de la Junta de Andalucla （Nos. FQM-276, TIC-0130, and P08-FQM-03770） |
| |
| 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.
|
| 关 键 词： | 连续时间系统 应用数学 异宿轨道 自治系统 作者 力学 |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
