کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10481928 | 933248 | 2013 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Comment on 'Å ilnikov-type orbits of Lorenz-family systems' [Physica A 375 (2007) 438-446]
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Comment on 'Å ilnikov-type orbits of Lorenz-family systems' [Physica A 375 (2007) 438-446] Comment on 'Å ilnikov-type orbits of Lorenz-family systems' [Physica A 375 (2007) 438-446]](/preview/png/10481928.png)
چکیده انگلیسی
In the commented paper, the authors consider a four-parameter family of three-dimensional autonomous systems that includes the widely studied systems of Lorenz, Chen and Lü. Their goal is to rigorously prove the existence of Å ilnikov chaos in this Lorenz-family via the Å ilnikov criterion. They use an undetermined coefficient method to demonstrate the presence of heteroclinic orbits. In this comment we point out that their analysis is erroneous. The odd function they consider for the first component of the Å ilnikov heteroclinic orbit cannot represent such global connection. Thus, the main result of their paper, Theorem 2, is incorrect.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 392, Issue 19, 1 October 2013, Pages 4252-4257
Journal: Physica A: Statistical Mechanics and its Applications - Volume 392, Issue 19, 1 October 2013, Pages 4252-4257
نویسندگان
Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. RodrÃguez-Luis,