Anti-periodic solutions for high-order Hopfield neural networks
نویسندگان
چکیده
منابع مشابه
Almost Periodic Solutions for Higher-order Hopfield Neural Networks without Bounded Activation Functions
In this paper, we consider higher-order Hopfield neural networks (HHNNs) with time-varying delays. Based on the fixed point theorem, Lyapunov functional method, differential inequality techniques, and without assuming the boundedness on the activation functions, we establish sufficient conditions for the existence and local exponential stability of the almost periodic solutions. The results of ...
متن کاملAnti-periodic Solutions for High-order Cellular Neural Networks with Time-varying Delays
In this article, we study anti-periodic solutions for high-order cellular neural networks with time-varying delays. Sufficient conditions for the existence and exponential stability of anti-periodic solutions are presented.
متن کاملExistence and Global Stability of Periodic Solution for Delayed Discrete High-order Hopfield-type Neural Networks
It is well known that studies on neural dynamical systems not only involve discussion of stability property, but also involve other dynamics behaviors such as periodic oscillatory, bifurcation and chaos. In many applications, the property of periodic oscillatory solutions are of great interest. For example, the human brain has been in periodic oscillatory or chaos state, hence it is of prime im...
متن کاملGlobal Exponential Stability of Almost Periodic Solutions of High-order Hopfield Neural Networks with Distributed Delays of Neutral Type†
In this paper, we study the global stability and the existence of almost periodic solution of high-order Hopfield neural networks with distributed delays of neutral type. Some sufficient conditions are obtained for the existence, uniqueness and global exponential stability of almost periodic solution by employing fixed point theorem and differential inequality techniques. An example is given to...
متن کاملAnti-periodic Solutions for Neural Networks with Delays and Impulses
AbstractIn this paper we investigate a class of artificial neural networks with delays subject to periodic impulses. By exploiting Lyapunov functions, we analyze the global exponential stability of an arbitrary solution with initial value being bounded by . Further, we discuss the existence of anti-periodic solutions by constructing fundamental function sequences based on a solution with init...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2008
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2008.04.029