Periodic oscillation for a three-neuron network with delays
نویسندگان
چکیده
By means of the coincidence degree theory, we give some criteria for the existence of periodic solutions of a three-neuron network model. @ 2003 Elsevier Ltd. All rights reserved. Keywords-Three-neuron network model, Periodic solution, The continuation theorem.
منابع مشابه
Studies with a Generalized Neuron Based PSS on a Multi-Machine Power System
An artificial neural network can be used as an intelligent controller to control non-linear, dynamic system through learning. It can easily accommodate non-linearities and time dependencies. Most common multi-layer feed-forward neural networks have the drawbacks of large number of neurons and hidden layers required to deal with complex problems and require large training time. To overcome these...
متن کاملJoint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs
This paper deals with fuzzy cellular neural networks (FCNNs) with leakage delays and proportional delays. Applying the differential inequality strategy, fixed point theorem and almost periodic function principle, some sufficient criteria which ensure the existence and global attractivity of a unique almost periodic solution for fuzzy cellular neuralnetworks with leakage delays and p...
متن کاملPeriodic solutions for a two-neuron network with delays
In this paper, we use the coincidence degree theory to establish new results on the existence of w-periodic solutions for a two-neuron network model. @ 2006 Elsevier Ltd. All rights reserved.
متن کاملPeriodic Solutions for Planar Systems with Time-varying Delays
This paper concerns delay differential systems that can be regarded as a model of two-neuron artificial neural network with delayed feedback. Some interesting results are obtained for the existence of a periodic solution for the system. Our approach is based on the continuation theorem of coincidence degree, and a-priori estimates of the periodic solutions.
متن کاملBifurcation Analysis of a Simplified BAM Neural Network Model with Time Delays
In this paper, a five-neuron bidirectional associative memory (BAM) neural network with two time delays is studied. Since the study of Hopf bifurcation is very important for the design and application of BAM neural networks, we investigate that Hopf bifurcation occurs and a family of periodic solutions appear when the sum of two delays passes through a critical value.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Appl. Math. Lett.
دوره 16 شماره
صفحات -
تاریخ انتشار 2003