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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Bai, C., Li, C. (2010)
Surveys in Mathematics and its Applications
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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.
Tan, Z., Hepburn, B.S., Tucker, C., Ali, M.K. (1998)
Discrete Dynamics in Nature and Society
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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.
Wang, Yi, Ma, Zhongjun, Liu, Hongli (2009)
Journal of Inequalities and Applications [electronic only]
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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.
Raffoul, Y. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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...
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.
Lu, Chien-Yu, Liao, Chin-Wen, Tsai, Hsun-Heng (2009)
Discrete Dynamics in Nature and Society
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Yan, Xiang-Ping, Li, Wan-Tong (2006)
Discrete Dynamics in Nature and Society
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