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Kopperundevi, Sivarajan. (1403). Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks. سامانه مدیریت نشریات علمی, 12(1), 136-148. doi: 10.22034/cmde.2023.55861.2330
Sivarajan Kopperundevi. "Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks". سامانه مدیریت نشریات علمی, 12, 1, 1403, 136-148. doi: 10.22034/cmde.2023.55861.2330
Kopperundevi, Sivarajan. (1403). 'Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks', سامانه مدیریت نشریات علمی, 12(1), pp. 136-148. doi: 10.22034/cmde.2023.55861.2330
Kopperundevi, Sivarajan. Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks. سامانه مدیریت نشریات علمی, 1403; 12(1): 136-148. doi: 10.22034/cmde.2023.55861.2330

Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks

Computational Methods for Differential Equations
مقاله 11، دوره 12، شماره 1، فروردین 2024، صفحه 136-148    اصل مقاله (397.66 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.55861.2330
نویسنده
Sivarajan Kopperundevi*
Department of Mathematics, Dr. M.G.R Educational and Research Institute(To be Deemed), Maduravoyal, Chennai-600 095, India.
چکیده
This study examines the balanced Maruyama with two step approximations of stochastic Hopfield neural networks with delay. The main aim of this paper is to discover the conditions under which the exact solutions remain stable for the balanced Maruyama with two-step approximations of stochastic delay Hopfield neural networks (SDHNN). The semi martingale theorem for convergence is used to demonstrate the almost sure exponential stability of balanced Maruyama with two-step approximations of stochastic delay Hopfield networks. Additionally, the numerical balanced Euler approximation's stability conditions are compared. Our theoretical findings are illustrated with numerical experiments.
کلیدواژه‌ها
Almost sure exponential stability؛ Balanced two step Maruyama numerical approximations؛ Hopfield neural networks؛ Stochastic delay differential equations
مراجع
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