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Dynamics and bifurcations of a discrete-time neural network model with a single delay | ||
| Journal of Mathematical Modeling | ||
| مقاله 3، دوره 12، شماره 3، آذر 2024، صفحه 419-430 اصل مقاله (404.31 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.26038.2309 | ||
| نویسندگان | ||
| Javad Hadadi1؛ Reza Khoshsiar Ghaziani2؛ Javad Alidousti2؛ Zohreh Eskandari* 3 | ||
| 1Department of Mathematical Sciences, Shahrekord University, Shahrekord, Iran | ||
| 2Department of Mathematical Sciences, Shahrekord University, Shahrekord, Iran | ||
| 3Department of Mathematics, Faculty of Science, Fasa University, Fasa, Iran | ||
| چکیده | ||
| In the present study, we analyze dynamics and bifurcations of a discrete-time Hopfield neural network based on two neurons and the same time delay. We determine stability and bifurcations of the system consisting flip, pitchfork and Neimark-Sacker bifurcations. The normal form coefficients for the all bifurcations are calculated using reducing to the corresponding center manifold, then these coefficients are numerically obtained using MatContM. Numerical analysis validates our analytical results and reveals more complex dynamical behaviors. | ||
| کلیدواژه‌ها | ||
| Delay system؛ stability؛ normal form؛ pitchfork bifurcation؛ flip bifurcation؛ Neimark-Sacker bifurcation | ||
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آمار تعداد مشاهده مقاله: 154 تعداد دریافت فایل اصل مقاله: 234 |
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