دورية أكاديمية
Mixed-coexistence of periodic orbits and chaotic attractors in an inertial neural system with a nonmonotonic activation function
| العنوان: | Mixed-coexistence of periodic orbits and chaotic attractors in an inertial neural system with a nonmonotonic activation function |
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| المؤلفون: | Zigen Song, Jian Xu, Bin Zhen |
| المصدر: | Mathematical Biosciences and Engineering, Vol 16, Iss 6, Pp 6406-6425 (2019) |
| بيانات النشر: | AIMS Press, 2019. |
| سنة النشر: | 2019 |
| المجموعة: | LCC:Biotechnology LCC:Mathematics |
| مصطلحات موضوعية: | inertial neuron system, nonmonotonic activation function, multistability, attractor merging crisis, period-doubling bifurcation, transient chaos, Biotechnology, TP248.13-248.65, Mathematics, QA1-939 |
| الوصف: | In this paper, we construct an inertial two-neuron system with a non-monotonic activation function. Theoretical analysis and numerical simulation are employed to illustrate the complex dynamics. It is found that the neural system exhibits the mixed coexistence with periodic orbits and chaotic attractors. To this end, the equilibria and their stability are analyzed. The system parameters are divided into some regions with the different number of equilibria by the static bifurcation curve. Then, employing some numerical simulations, including the phase portraits, Lyapunov exponents, bifurcation diagrams, and the sensitive dependence to initial values, we find that the system generates two coexisting single-scroll chaotic attractors via the period-doubling bifurcation. Further, the single-scroll chaos will evolve into the double-scroll chaotic attractor. Finally, to view the global evolutions of dynamical behavior, we employ the combined bifurcation diagrams including equilibrium points and periodic orbits. Many types of multistability are presented, such as the bistable periodic orbits, multistable periodic orbits, and multistable chaotic attractors with multi-periodic orbits. The phase portraits and attractor basins are shown to verify the coexisting attractors. Additionally, transient chaos in neural system is observed by phase portraits and time histories. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1551-0018 |
| Relation: | https://www.aimspress.com/article/10.3934/mbe.2019320?viewType=HTML; https://doaj.org/toc/1551-0018 |
| DOI: | 10.3934/mbe.2019320?viewType=HTML |
| DOI: | 10.3934/mbe.2019320 |
| URL الوصول: | https://doaj.org/article/fdaffc1e439c41949297ecf5fc60776b |
| رقم الأكسشن: | edsdoj.fdaffc1e439c41949297ecf5fc60776b |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 15510018 |
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| DOI: | 10.3934/mbe.2019320?viewType=HTML |