کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631139 | 1340617 | 2011 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Periodic solutions of a bang bang recurrence equation with least periods 1 through 9
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Periodic solutions of a bang bang recurrence equation with least periods 1 through 9 Periodic solutions of a bang bang recurrence equation with least periods 1 through 9](/preview/png/4631139.png)
چکیده انگلیسی
In this paper, we study a very simple three term recurrence relation involving the discontinuous Heaviside step function. One reason for studying such an relation is that solutions of our recurrence relation are steady state distributions in some basic neural network models. Since analytic tools cannot be used to handle discontinuous models such as ours, existence of periodic solutions is investigated by combining combinatorial elimination technique as well as existence arguments for linear systems. By such means, we are able to obtain all periodic solutions with least periods 1 through 9. Some periodic solutions with periods 15, 18, 42 and 72 can also be found, but exhaustive results are not yet available.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 9, 1 January 2011, Pages 4333-4349
Journal: Applied Mathematics and Computation - Volume 217, Issue 9, 1 January 2011, Pages 4333-4349
نویسندگان
Gen-qiang Wang, Bo Han,