2016
DOI: 10.22436/jnsa.009.03.52
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Existence and exponentially stability of anti-periodic solutions for neutral BAM neural networks with time-varying delays in the leakage terms

Abstract: This paper is concerned with the existence and exponential stability of anti-periodic solutions of a neutral BAM neural network with time-varying delays in the leakage terms. Using some analysis skills and Lyapunov method, a series of sufficient conditions for the existence and exponential stability of anti-periodic solutions to the neutral BAM neural networks with time-varying delays in the leakage terms are presented. Our results are new and complement some previously known ones.

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Cited by 30 publications
(18 citation statements)
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“…Some authors argue that a typical time delay called Leakage (or 'forgetting') delay may occur in the negative feedback term of the neural networks model (these terms are variously known as forgetting or leakage terms) and has a great impact on the dynamics of neural networks [19][20][21][22][23][24][25][26][27][28]. For example, time delay in the stabilizing negative feedback term has a tendency to destabilize a system [29], Li et al [30]pointed out that the existence and uniqueness of the equilibrium point are independent of time delays and initial conditions.…”
Section: Introductionmentioning
confidence: 99%
“…Some authors argue that a typical time delay called Leakage (or 'forgetting') delay may occur in the negative feedback term of the neural networks model (these terms are variously known as forgetting or leakage terms) and has a great impact on the dynamics of neural networks [19][20][21][22][23][24][25][26][27][28]. For example, time delay in the stabilizing negative feedback term has a tendency to destabilize a system [29], Li et al [30]pointed out that the existence and uniqueness of the equilibrium point are independent of time delays and initial conditions.…”
Section: Introductionmentioning
confidence: 99%
“…Some scholars find that leakage delay, which may exist in the negative feedback term of neural networks, has a great impact on the dynamics of neural networks . For example, leakage delay can stabilize a system , Balasubramanianm et al.…”
Section: Introductionmentioning
confidence: 99%
“…Some scholars find that leakage delay, which may exist in the negative feedback term of neural networks, has a great impact on the dynamics of neural networks [10,11]. For example, leakage delay can stabilize a system [12], Balasubramanianm et al [13] argued that the existence and uniqueness of the equilibrium point do not depend on leakage delays and initial values.…”
Section: Introductionmentioning
confidence: 99%
“…Thus the existence and stability of anti-periodic solutions are an important topic in characterizing the behavior of nonlinear differential equations [7,8,10,15,16,17,18,21,22,23,24,25,26,29,30,31,32,33,34]. Therefore it is worth while to investigate the existence and stability of anti-periodic solutions for BAM neural networks.…”
Section: Introductionmentioning
confidence: 99%