Existence of an exponential periodic attractor of periodic solutions for general BAM neural networks with time-varying delays and impulses

Existence of an exponential periodic attractor of periodic solutions for general BAM neural networks with time-varying delays and impulses
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DOI:
10.1016/j.amc.2012.06.044
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发表时间:
2012-10
期刊:
Appl. Math. Comput.
影响因子:
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通讯作者:
Wengui Yang
Wengui Yang
中科院分区:
其他
文献类型:
--
作者:
Wengui Yang

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通过应用不等式分析技术,构造合适的Lyapunov泛函并结合Mawhin和Gaines的连续定理,得到了一些新颖的充分条件,以确保具有时变(包括有界和无界)延迟和脉冲的一般神经网络周期解的指数周期吸引子的存在。通过一个例子来说明我们的可行结果。
By applying inequality analysis technique, constructing a suitable Lyapunov functional and combing the continuation theorem due to Mawhin and Gaines, some novel sufficient conditions are obtained to ensure the existence of an exponential periodic attractor of periodic solutions for general neural networks with time-varying (including bounded and unbounded) delays and impulses. An example is employed to illustrate our feasible results.