کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
767386 | 897176 | 2010 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Localization analysis of compact invariant sets of multi-dimensional nonlinear systems and symmetrical prolongations
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Localization analysis of compact invariant sets of multi-dimensional nonlinear systems and symmetrical prolongations Localization analysis of compact invariant sets of multi-dimensional nonlinear systems and symmetrical prolongations](/preview/png/767386.png)
چکیده انگلیسی
In our paper we study the localization problem of compact invariant sets of nonlinear systems. Methods of a solution of this problem are discussed and a new method is proposed which is based on using symmetrical prolongations and the first-order extremum condition. Our approach is applied to the system modeling the Rayleigh–Bénard convection for which the symmetrical prolongation with the Lorenz system has been constructed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 15, Issue 5, May 2010, Pages 1159–1165
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 15, Issue 5, May 2010, Pages 1159–1165
نویسندگان
Alexander P. Krishchenko, Konstantin E. Starkov,