New result of existence of periodic solution for a Hopfield neural networks with neutral time-varying delays.
Bai, C., Li, C. (2010)
Surveys in Mathematics and its Applications
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Displaying similar documents to “Patterns, Memory and Periodicity in Two-Neuron Delayed Recurrent Inhibitory Loops”
New result of existence of periodic solution for a Hopfield neural networks with neutral time-varying delays.
Exponential convergence of shunting inhibitory cellular neural networks with continuously distributed delays
Qiyuan Zhou, Changhong Zhao (2010)
Annales Polonici Mathematici
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We study delay shunting inhibitory cellular neural networks without almost periodic coefficients. Some sufficient conditions are established to ensure that all solutions of the networks converge exponentially to an almost periodic function. This complements previously known results.
Pattern recognition using chaotic neural networks.
Tan, Z., Hepburn, B.S., Tucker, C., Ali, M.K. (1998)
Discrete Dynamics in Nature and Society
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Periodic solutions for some delay differential equations appearing in models of power systems
Bingwen Liu, Lihong Huang (2005)
Annales Polonici Mathematici
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The authors use coincidence degree theory to establish some new results on the existence of T-periodic solutions for the delay differential equation x''(t) + a₁x'(t) + a₂(xⁿ(t))' + a₃x(t)+ a₄x(t-τ) + a₅xⁿ(t) + a₆xⁿ(t-τ) = f(t), which appears in a model of a power system. These results are of practical significance.
Global exponential stability of periodic oscillation for nonautonomous BAM neural networks with distributed delay.
Wang, Yi, Ma, Zhongjun, Liu, Hongli (2009)
Journal of Inequalities and Applications [electronic only]
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Periodic solutions of nth order delay Rayleigh equations
Gen-Qiang Wang, Sui Sun Cheng (2002)
Annales Polonici Mathematici
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A priori bounds are established for periodic solutions of an nth order Rayleigh equation with delay. From these bounds, existence theorems for periodic solutions are established by means of Mawhin's continuation theorem.
Positive periodic solutions in neutral nonlinear differential equations.
Raffoul, Y. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Noise Shaping in Neural Populations with Global Delayed Feedback
O. Ávila Åkerberg, M. J. Chacron (2010)
Mathematical Modelling of Natural Phenomena
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The interplay between intrinsic and network dynamics has been the focus of many investigations. Here we use a combination of theoretical and numerical approaches to study the effects of delayed global feedback on the information transmission properties of neural networks. Specifically, we compare networks of neurons that display intrinsic interspike interval correlations (nonrenewal) to networks that do not (renewal). We find that excitatory...
Existence and uniqueness of periodic solutions for a kind of nonlinear nth order differential equations with delays
Weiwen Shao, Fuxing Zhang, Ya Li (2008)
Annales Polonici Mathematici
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By applying the continuation theorem of coincidence degree theory, we establish new results on the existence and uniqueness of 2π-periodic solutions for a class of nonlinear nth order differential equations with delays.
Delay-range-dependent global robust passivity analysis of discrete-time uncertain recurrent neural networks with interval time-varying delay.
Lu, Chien-Yu, Liao, Chin-Wen, Tsai, Hsun-Heng (2009)
Discrete Dynamics in Nature and Society
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Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays.
Yan, Xiang-Ping, Li, Wan-Tong (2006)
Discrete Dynamics in Nature and Society
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A mathematical model describing the thyroid-pituitary axis with time delays in hormone transportation
Banibrata Mukhopadhyay, Rakhi Bhattacharyya (2006)
Applications of Mathematics
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In the present paper, a mathematical model, originally proposed by Danziger and Elmergreen and describing the thyroid-pituitary homeostatic mechanism, is modified and analyzed for its physiological and clinical significance. The influence of different system parameters on the stability behavior of the system is discussed. The transportation delays of different hormones in the bloodstream, both in the discrete and distributed forms, are considered. Delayed models are analyzed regarding...