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学者姓名：陈晓星
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Chen [2016a, 2016b] studied global dynamics of the Filippov systems <(x)double over dot> + (alpha + beta x(2))(x)over dot + x +/- sgn(x) = 0, respectively. To study the global dynamics of <(x)double over dot>+(alpha+beta x(2))(x)over dot +/- x +/- sgn(x) = 0 completely, since the dynamics of <(x)double over dot>+(alpha+beta x(2))(x)over dot-x-sgn(x) = 0 is very simple, we are only interested in the global dynamics of <(x)double over dot>+(alpha+beta x(2))(x)over dot - x + sgn(x) = 0 in this paper. Firstly, we use Briot-Bouquet transformations and normal sector methods to discuss these degenerate equilibria at infinity. Secondly, we discuss the number of limit cycles completely. Then, the sufficient and necessary conditions of existence of the heteroclinic loop are found. To estimate the upper bound of the heteroclinic loop bifurcation function on parameter space, a result on the amplitude of a unique limit cycle of a discontinuous Lienard system is given. Finally, the complete bifurcation diagram and all global phase portraits are presented. The global dynamic property of system <(x)double over dot>+(alpha+beta x(2))(x) over dot-x+sgn(x) = 0 is totally different from systems <(x)double over dot>+(alpha+beta x(2))(x)+x +/- sgn(x) = 0.
Keyword ：
Filippov system Filippov system global phase portrait global phase portrait heteroclinic loop heteroclinic loop limit cycle limit cycle
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| GB/T 7714 | Pan, Hongjie , Chen, Xiaofeng , Pu, Jiao et al. Global Dynamics of a Planar Filippov System with Symmetry [J]. | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS , 2020 , 30 (7) . |
| MLA | Pan, Hongjie et al. "Global Dynamics of a Planar Filippov System with Symmetry" . | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 30 . 7 (2020) . |
| APA | Pan, Hongjie , Chen, Xiaofeng , Pu, Jiao , Chen, Xiaoxing . Global Dynamics of a Planar Filippov System with Symmetry . | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS , 2020 , 30 (7) . |
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高等学校数学公共基础课程的教学评价通常以督导组专家和学生评价为主,存在主观性强、 成本高、 难推广等局限性.文章结合数学类课程的学科特点和教学特点,利用互联网、 移动终端和智能监控技术获取课堂教学的相关视频、 音频、 图像等多源数据,结合人工智能技术和层次分析法,构建基于多源数据分析的教学质量评价指标,克服传统评价方法中的主观随意性,提高评价效率,实现无人教学评价.
Keyword ：
人工智能 人工智能 层次分析法 层次分析法 教学评价 教学评价 数学公共基础课程 数学公共基础课程
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| GB/T 7714 | 曾勋勋 , 陈飞 , 吕书龙 et al. 基于多源数据层次分析的数学课堂教学评价 ——以高等数学为例 [J]. | 高等理科教育 , 2019 , (5) : 44-49 . |
| MLA | 曾勋勋 et al. "基于多源数据层次分析的数学课堂教学评价 ——以高等数学为例" . | 高等理科教育 5 (2019) : 44-49 . |
| APA | 曾勋勋 , 陈飞 , 吕书龙 , 薛美玉 , 朱玉灿 , 陈晓星 . 基于多源数据层次分析的数学课堂教学评价 ——以高等数学为例 . | 高等理科教育 , 2019 , (5) , 44-49 . |
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A syrphid fly-aphid model with stage structure for predator population is considered, in which only the immature predator-natural enemy syrphid fly can prey on pest-aphid. By applying Lyapunov functions and LaSalles invariance principle, we show that the global asymptotic stability of the interior equilibrium for the considered model. We also obtain results on the existence and stability of periodic solutions. Numerical simulations are also performed to illustrate the validity of our results. © 2017 Journal of Nonlinear Functional Analysis.
Keyword ：
Asymptotic stability Asymptotic stability Lyapunov functions Lyapunov functions
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| GB/T 7714 | Chen, Liujuan , Chen, Xiaoxing , Huang, Shouying . Global dynamics of a syrphid fly-aphid model with stage structure for predator population [J]. | Journal of Nonlinear Functional Analysis , 2017 , 2017 . |
| MLA | Chen, Liujuan et al. "Global dynamics of a syrphid fly-aphid model with stage structure for predator population" . | Journal of Nonlinear Functional Analysis 2017 (2017) . |
| APA | Chen, Liujuan , Chen, Xiaoxing , Huang, Shouying . Global dynamics of a syrphid fly-aphid model with stage structure for predator population . | Journal of Nonlinear Functional Analysis , 2017 , 2017 . |
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A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper. Sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. The results obtained here generalize the main results of Li and Chen [Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances, Appl. Math. Comput. 182(2006) 684-690]. Numeric simulations are carried out to show the feasibility of our results.
Keyword ：
Competition Competition Extinction Extinction Functional response Functional response Phytoplankton system Phytoplankton system
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| GB/T 7714 | Chen, Fengde , Chen, Xiaoxing , Huang, Shouying . Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances [J]. | OPEN MATHEMATICS , 2016 , 14 : 1157-1173 . |
| MLA | Chen, Fengde et al. "Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances" . | OPEN MATHEMATICS 14 (2016) : 1157-1173 . |
| APA | Chen, Fengde , Chen, Xiaoxing , Huang, Shouying . Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances . | OPEN MATHEMATICS , 2016 , 14 , 1157-1173 . |
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讨论一类带有脉冲的Holling Ⅳ类功能性反应的非自治捕食系统,利用微分方程比较定理和构造Lyapunov函数等方法,得到该类系统的持久生存、灭绝以及全局渐近稳定的条件.
Keyword ：
Holling Ⅳ捕食系统 Holling Ⅳ捕食系统 持久生存 持久生存 渐近性 渐近性 灭绝 灭绝 脉冲 脉冲 非自治 非自治
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| GB/T 7714 | 张春花 , 陈晓星 , 张玉英 . 具有Holling Ⅳ型功能性反应的非自治脉冲捕食系统的动力学研究 [J]. | 福州大学学报（自然科学版） , 2016 , 44 (3) : 325-330 . |
| MLA | 张春花 et al. "具有Holling Ⅳ型功能性反应的非自治脉冲捕食系统的动力学研究" . | 福州大学学报（自然科学版） 44 . 3 (2016) : 325-330 . |
| APA | 张春花 , 陈晓星 , 张玉英 . 具有Holling Ⅳ型功能性反应的非自治脉冲捕食系统的动力学研究 . | 福州大学学报（自然科学版） , 2016 , 44 (3) , 325-330 . |
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In this paper, we investigate a discrete Hassell-Varley response function predator-prey system with feedback control. First, sufficient conditions are established for the permanence of the system. Then, assuming that the coefficients of the system is almost periodic sequences, we obtain conditions for the existence and unique of the almost periodic solution. Moreover, the almost periodic solution we obtained is uniformly asymptotically stable. (C) 2015 Elsevier Inc. All rights reserved.
Keyword ：
Almost periodic solution Almost periodic solution Discrete predator prey system Discrete predator prey system Feedback control Feedback control Hassell-Varley Hassell-Varley Permanence Permanence
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| GB/T 7714 | Xie, Xiaoli , Zhang, Chunhua , Chen, Xiaoxing et al. Almost periodic sequence solution of a discrete Hassell-Varley predator-prey system with feedback control [J]. | APPLIED MATHEMATICS AND COMPUTATION , 2015 , 268 : 35-51 . |
| MLA | Xie, Xiaoli et al. "Almost periodic sequence solution of a discrete Hassell-Varley predator-prey system with feedback control" . | APPLIED MATHEMATICS AND COMPUTATION 268 (2015) : 35-51 . |
| APA | Xie, Xiaoli , Zhang, Chunhua , Chen, Xiaoxing , Chen, Jiangyong . Almost periodic sequence solution of a discrete Hassell-Varley predator-prey system with feedback control . | APPLIED MATHEMATICS AND COMPUTATION , 2015 , 268 , 35-51 . |
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研究具有非线性捕获项的多时滞Hassell-Varley型功能性反应的食饵-捕食者系统周期解的存在性.运用重合度定理得到了该系统的周期解存在性的充分条件,并通过数值模拟给予验证.
Keyword ：
Hassell-Varley功能性反应 Hassell-Varley功能性反应 周期解 周期解 重合度定理 重合度定理 非线性捕获项 非线性捕获项
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| GB/T 7714 | 谢小丽 , 陈晓星 , 游华 . 具有非线性捕获项的多时滞Hassell-Varley型功能性反应食饵-捕食者系统的周期解 [J]. | 福州大学学报（自然科学版） , 2014 , 42 (3) : 353-359 . |
| MLA | 谢小丽 et al. "具有非线性捕获项的多时滞Hassell-Varley型功能性反应食饵-捕食者系统的周期解" . | 福州大学学报（自然科学版） 42 . 3 (2014) : 353-359 . |
| APA | 谢小丽 , 陈晓星 , 游华 . 具有非线性捕获项的多时滞Hassell-Varley型功能性反应食饵-捕食者系统的周期解 . | 福州大学学报（自然科学版） , 2014 , 42 (3) , 353-359 . |
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通过多年的教学实践，体会到在数学分析教学中重视促发学生非智力因素对提高学生学习成绩有一定的作用．结合数学分析的教学，浅谈促发学生非智力因素的几点做法．
Keyword ：
教学 教学 数学分析 数学分析 非智力因素 非智力因素
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| GB/T 7714 | 陈晓星 , 游华 . 数学分析教学中重视促发学生非智力因素 [J]. | 宁德师范学院学报：自然科学版 , 2012 , 24 (4) : 414-415,425 . |
| MLA | 陈晓星 et al. "数学分析教学中重视促发学生非智力因素" . | 宁德师范学院学报：自然科学版 24 . 4 (2012) : 414-415,425 . |
| APA | 陈晓星 , 游华 . 数学分析教学中重视促发学生非智力因素 . | 宁德师范学院学报：自然科学版 , 2012 , 24 (4) , 414-415,425 . |
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In this paper, we study weighted pseudo almost periodic solutions of neutral functional differential equations. By applying the properties of weighted pseudo almost periodic functions and the exponential dichotomy of linear systems as well as Krasnoselskii's fixed point theorem, we establish the conditions for the existence of weighted pseudo-almost periodic solution of the equations. (c) 2010 Elsevier Ltd. All rights reserved.
Keyword ：
Exponential dichotomy Exponential dichotomy Krasnoselskii's fixed point theorem Krasnoselskii's fixed point theorem Neutral functional differential equation Neutral functional differential equation Weighted pseudo almost periodic solution Weighted pseudo almost periodic solution
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| GB/T 7714 | Chen, Xiaoxing , Hu, Xiangyang . Weighted pseudo almost periodic solutions of neutral functional differential equations [J]. | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS , 2011 , 12 (1) : 601-610 . |
| MLA | Chen, Xiaoxing et al. "Weighted pseudo almost periodic solutions of neutral functional differential equations" . | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 12 . 1 (2011) : 601-610 . |
| APA | Chen, Xiaoxing , Hu, Xiangyang . Weighted pseudo almost periodic solutions of neutral functional differential equations . | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS , 2011 , 12 (1) , 601-610 . |
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In this paper, a Volterra model with mutual interference and Beddington-DeAngelis functional response is investigated, some sufficient conditions which guarantee the existence and global attractivity of positive periodic solution for the system are obtained. Furthermore, our results improve the main results of paper [1]. (C) 2011 Elsevier Inc. All rights reserved.
Keyword ：
Beddington-DeAngelis functional response Beddington-DeAngelis functional response Global attractivity Global attractivity Mutual interference Mutual interference Positive periodic solution Positive periodic solution Volterra model Volterra model
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| GB/T 7714 | Guo, Haijun , Chen, Xiaoxing . Existence and global attractivity of positive periodic solution for a Volterra model with mutual interference and Beddington-DeAngelis functional response [J]. | APPLIED MATHEMATICS AND COMPUTATION , 2011 , 217 (12) : 5830-5837 . |
| MLA | Guo, Haijun et al. "Existence and global attractivity of positive periodic solution for a Volterra model with mutual interference and Beddington-DeAngelis functional response" . | APPLIED MATHEMATICS AND COMPUTATION 217 . 12 (2011) : 5830-5837 . |
| APA | Guo, Haijun , Chen, Xiaoxing . Existence and global attractivity of positive periodic solution for a Volterra model with mutual interference and Beddington-DeAngelis functional response . | APPLIED MATHEMATICS AND COMPUTATION , 2011 , 217 (12) , 5830-5837 . |
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