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نتیجه جستجو - BAM neural network

تعداد مقالات یافته شده: 2
ردیف عنوان نوع
1 Quasi-periodic invariant 2-tori in a delayed BAM neural network
Quasi-periodic invariant 2-tori in a delayed BAM neural network-2020
In this paper, we consider a four-neuron bi-directional associative memory (BAM, for short) neural net- work with two delays. We choose connection weights and the sum of delays as bifurcation parameters and derive the critical values where a double Hopf bifurcation may occur by analyzing the associated characteristic equation which is a fourth-degree polynomial exponential equation. Meanwhile, we ob- tain some parameter conditions on the existence of invariant 2-tori of the truncated normal form near the bifurcation point by the center manifold theorem and normal form method. Despite the fact that the higher-degree terms may destroy the invariant 2-tori of the truncated normal form, we prove that the neural network model has quasi-periodic invariant 2-tori for most of the parameter set where the truncated normal form possesses invariant 2-tori in a sufficiently small neighborhood of the bifurcation point. Numerical examples and simulations are given to support the theoretical analysis.
Keywords: BAM neural network | Normal form | Double Hopf bifurcation | Quasi-periodic invariant torus
مقاله انگلیسی
2 Quasi-pinning synchronization and stabilization of fractional order BAM neural networks with delays and discontinuous neuron activations
هماهنگ سازی شبه پین و تثبیت شبکه های عصبی BAM مرتبه کسری با تاخیر و فعال سازی نورون ناپیوسته-2020
This manuscript concerns quasi-pinning synchronization and β-exponential pinning stabilization for a class of fractional order BAM neural networks with time-varying delays and discontinuous neuron acti- vations (FBAMNNDDAs). Firstly, under the framework of Filippov solution and fractional-order differential inclusions analysis for the initial value problem of FBAMNNDDAs is presented. Secondly, two kinds of novel pinning controllers according to pinning control technique are designed. By means of fractional or- der Lyapunov method and designed pinning control strategy, the sufficient criteria is given first to ensure the quasi-synchronization for the dynamic behavior of FBAMNNDDAs. Furthermore, the error bound of pinning synchronization is explicitly evaluated. Thirdly, via Kakutani s fixed point theorem of set-valued map analysis, Razumikhin condition, and a nonlinear pinning controller, the existence and β-exponential stabilization of FBAMNNDDAs equilibrium point is obtained in the voice of linear matrix inequality (LMI) technique. Fourthly, based on as well as Mittag-Leffler function and growth condition, the global existence of a solution in the Filippov sense of such system is guaranteed with detailed proof. At last, a numerical example with computer simulations are performed to illustrate the effectiveness of proposed theoretical consequences.
Keywords: Quasi-synchronization | β-Exponential stabilization | Discontinuous BAM-type neural networks | Fractional order | Time-varying delays | Filippov’s solutions | Pinning control
مقاله انگلیسی
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بازدید امروز: 1741 :::::::: بازدید دیروز: 0 :::::::: بازدید کل: 1741 :::::::: افراد آنلاین: 45