کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630184 | 1340594 | 2011 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
New types of 3-D systems of quadratic differential equations with chaotic dynamics based on Ricker discrete population model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: New types of 3-D systems of quadratic differential equations with chaotic dynamics based on Ricker discrete population model New types of 3-D systems of quadratic differential equations with chaotic dynamics based on Ricker discrete population model](/preview/png/4630184.png)
چکیده انگلیسی
The wide class of 3-D autonomous systems of quadratic differential equations, in each of which either there is a couple of coexisting limit cycles or there is a couple of coexisting chaotic attractors, is found. In the second case the couple consists of either Lorentz-type attractor and another attractor of a new type or two Lorentz-type attractors. It is shown that the chaotic behavior of any system of the indicated class can be described by the Ricker discrete population model: zi+1 = zi exp(r â zi), r > 0, zi > 0, i = 0, 1, â¦Â . The values of parameters, at which in the 3-D system appears either the couple of limit cycles or the couple of chaotic attractors, or only one limit cycle, or only one sphere-shaped chaotic attractor, are indicated. Examples are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 8, 15 December 2011, Pages 4546-4566
Journal: Applied Mathematics and Computation - Volume 218, Issue 8, 15 December 2011, Pages 4546-4566
نویسندگان
Vasiliy Ye. Belozyorov,