Existence of periodic solutions of a neuronic equation |
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| Affiliation: | 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China;2. School of Mathematics and Information Science, Shan Dong University of Technology, Zibo 255012, China |
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| Abstract: | In this paper, a planar system reduced from a neuronic equation is investigated. By using the qualitative analysis method of ordinary differential equations, we obtain conditions for the existence of a unique limit cycle surrounding a singular point and one or two limit cycles simultaneously surrounding three singular points. |
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