کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
404468 | 677427 | 2010 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Coexistence and local stability of multiple equilibria in neural networks with piecewise linear nondecreasing activation functions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we investigate the neural networks with a class of nondecreasing piecewise linear activation functions with 2r2r corner points. It is proposed that the nn-neuron dynamical systems can have and only have (2r+1)n(2r+1)n equilibria under some conditions, of which (r+1)n(r+1)n are locally exponentially stable and others are unstable. Furthermore, the attraction basins of these stationary equilibria are estimated. In the case of n=2n=2, the precise attraction basin of each stable equilibrium point can be figured out, and their boundaries are composed of the stable manifolds of unstable equilibrium points. Simulations are also provided to illustrate the effectiveness of our results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Neural Networks - Volume 23, Issue 2, March 2010, Pages 189–200
Journal: Neural Networks - Volume 23, Issue 2, March 2010, Pages 189–200
نویسندگان
Lili Wang, Wenlian Lu, Tianping Chen,