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Moslehi, Mohammad Hadi. (1402). Chaotic and Periodic Attractors in a Five-Dimensional Artificial Neural Network Model. , (), -. doi: 10.30495/jnrm.2023.73326.2419
Mohammad Hadi Moslehi. "Chaotic and Periodic Attractors in a Five-Dimensional Artificial Neural Network Model". , , , 1402, -. doi: 10.30495/jnrm.2023.73326.2419
Moslehi, Mohammad Hadi. (1402). 'Chaotic and Periodic Attractors in a Five-Dimensional Artificial Neural Network Model', , (), pp. -. doi: 10.30495/jnrm.2023.73326.2419
Moslehi, Mohammad Hadi. Chaotic and Periodic Attractors in a Five-Dimensional Artificial Neural Network Model. , 1402; (): -. doi: 10.30495/jnrm.2023.73326.2419

Chaotic and Periodic Attractors in a Five-Dimensional Artificial Neural Network Model

Journal of New Researches in Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 آبان 1402  XML
نوع مقاله: research paper
شناسه دیجیتال (DOI): 10.30495/jnrm.2023.73326.2419
نویسنده
Mohammad Hadi Moslehi email orcid
Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697 Tehran, Iran
چکیده
In this article, the dynamics of a new model of Hopfield neural networks based on 5 neurons is presented and analyzed. In the synaptic coefficients of this model, two parameters are defined which, by changing them, very rich dynamic behaviors, including quasi-periodic attractors (3-torus), chaos, transient chaos, hyperchaos, period-doubling bifurcation route to chaos and coexistence attractors will be observed. This model will include almost most of the dynamic phenomena mentioned. In particular, we observe the period-doubling bifurcation leading to chaos, which has rarely been reported in previous works in five-dimensional autonomous systems, especially the Hopfield system. By changing the parameter a in a very small interval, the evolution process of the system starts from the limit cycle and after passing through a series of periodic attractors, it becomes chaotic. Complex dynamic behaviors of the system are investigated using the Lyapunov spectrum, bifurcation diagram and different sections of the phase space.
کلیدواژه‌ها
chaos؛ hyperchaos؛ transient chaos؛ period-doubling bifurcation؛ Lyapunov spectrum
آمار
تعداد مشاهده مقاله: 39


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