教师姓名:陈和柏
职称:教授
教师拼音名称:chen hebai
性别:男
所在单位:数学与统计学院
学历:博士研究生毕业
入职时间:2019-07-02
学位:博士学位
毕业院校:西南交通大学
在职信息:在职
学科:数学
招生学科:数学

陈和柏,博士,中南大学数学与统计学院教授、博导, 从事微分方程与动力系统的教学和研究, 主要研究兴趣为光滑及非光滑微分方程的定性理论与分岔理论。获四川大学数学学士和硕士学位、西南交通大学力学博士学位,之后应邀赴英国帝国理工学院、诺丁汉大学短访。在《Advances in Mathematics》、《Mathematiche Annalen》、《Journal of the London Mathematical Society》、《Nonlinearity》、《Journal of Differential Equations》、《Journal of Nonlinear Science》、 《SIAM Journal on Mathematical Analysis》、《Physica D》、《Annali di Matematica Pura ed Applicata》等国际重要期刊以一作或通讯身份发表SCI学术论文70多篇;获得国家优青项目(2023)资助,主持了相关的国家面上(2021,2025)和青年基金(2018)。现任中国数学会T3杂志《Annals of Applied Mathematics》的Associate Editor。
发表论文详见
https://www.researchgate.net/profile/Hebai-Chen

›国家自然科学基金委员会:二维动力系统的极限环:理论及其应用(12571190),开始日期:2025-08-27,立项时间:2025-08-27,结项时间:2029-12-31.
›湖南省科技厅:2023年湖湘青年英才科技创新类(2023RC3040),陈和柏,开始日期:2023-09-06,立项时间:2023-09-06,结项时间:2026-09-01.
›国家自然科学基金委员会:动力系统定性理论与分支理论(12322109),陈和柏,立项时间:2023-08-24
›国家自然科学基金:Z_2等变向量场的Hilbert第16问题和全局动力学(12171485),陈和柏,开始日期:2021-08-24,立项时间:2021-08-18,结项时间:2025-12-31.
›国家自然科学基金委:关于多项式Lienard 系统的全局分岔与Hilbert第16问题(11801079),陈和柏,立项时间:2019-01-01

›Wang Zhaoxia, Chen Hebai*, The saddle case of a nonsmooth Rayleigh–Duffing oscillator[J].International Journal of Non-Linear Mechanics, 2020, 129
›Chen Hebai, Zhu Huaiping*.Global bifurcation studies of a cubic Liénard system[J].Journal of Mathematical Analysis and Applications, 2020
›Li Tao, Chen Hebai, Chen Xingwu.Crossing periodic orbits of nonsmooth Lienard systems and applications[J]. UK.Nonlinearity, 33 (11) : 5817-5838.
›缪鹏程, 陈和柏, 李登辉, 乐源, 谢建华.Generalized Hopf bifurcation of a non-smooth railway wheelset system[J].Nonlinear Dynamics, 2020, 100: 3277-3293.
›贾曼, 陈和柏, 陈海波.Bifurcation diagram and global phase portraits of a family of quadratic vector fields in class I[J].Qualitative Theory of Dynamical Systems, 2020, 19: 64-1-22.
›陈和柏, 唐异垒.Global dynamics of the Josephson equation in TS^1[J].Journal of Differential Equations, 2020, 269 (6) : 4884-4913.
›Chen Hebai, Xia Yong-Hui*, Xiao Dongmei, Wei Fengying.Global dynamics of an asymmetry piecewise linear differential system: Theory and applications[J]. France.Bulletin des Sciences Mathématiques, 2020, 160: 102858-1-43.
›Chen Haibo, Chen Hebai*, Global dynamics of a Wilson polynomial Lienard equation[J].Proccedings of the American Mathematical Society, 148 (11) : 4769-4780.
›Chen Xiaofeng, Chen Hebai*, Complete bifurcation diagram and global phase portraits of Lienard differential equations of degree four[J]. USA.Journal of Mathematical Analysis and Applications, 2020, 485: 123802.
›Chen Hebai, Chen Xingwu, Dynamical analysis of a cubic Lienard system with global parameters: (III)[J].Nonlinearity, 2020, 33 (4) : 1443-1465.
›Chen Hebai, Tang Yilei*, A proof of Euzebio-Pazim-Ponce's conjectures for a degenerate planar piecewise linear differential system with three zones[J].Physica D, 2020, 401: 1-22.
›Liu Lingling, Chen Hebai*, Ding Kewei.Dynamical analysis of a Lotka-Volterra learning-process model[J].Journal of Applied Analysis and Computation, 2019, 9 (5) : 1-17.
›Chen Hebai, Tang Yilei, An oscillator with two discontinuous lines and Van der Pol damping[J].Bulletin des Sciences Mathématiques, 2020, 161: 102867-1-38.
›Chen Hebai*, Llibre Jamue, Tang Yilei.Centers of piecewise quasi-homogeneous systems[J].Discrete and Continuous Dynamical Systems-Series B, 2019, 24 (12) : 6495-6509.
›Chen Hebai, Tang Yilei, Proof of Artes-Llibre-Valls's conjectures for the Higgins-Selkov and the Selkov systems[J]. ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA.JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (11) : 7638-7657.
›Chen Hebai, Zou Lan, How to control the immigration of infectious individuals for a region?[J].Nonlinear Analysis Series B: Real World Applicatio, 2019, 45: 491-505.
›Li Denghui, Chen Hebai*, Xie Jianhua.Smale Horseshoe in a Piecewise Smooth Map[J]. WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (4) : 1950051.
›Tang Yilei*, Chen Hebai.At most two limit cycles in a piecewise linear differential system with three zones and asymmetry.Physica D, 2019, 386-387: 23-30.
›Xia Yonghui*, Han Maoan, Chen Hebai.Limit cycles of a Lienard system with symmetry allowing for discontinuity[J].Journal of Mathematical Analysis and Applications, 2018, 468: 799-816.
›Duan Jinqiao, Chen Hebai*.Bounded and unbounded solutions of a discontinuous oscillator at resonance[J].International Journal of Non-Linear Mechanics, 2018, 105: 146-151.
›Xie Jianhua, Tang Yilei*, Duan Sen, Chen Hebai.Global dynamics of a mechanical system with fry friction[J].Journal of Differential Equations, 2018, 265: 5490-5519.
›Jian Yupei, Huang Deqing*, Chen Hebai.The saddle case of Rayleigh-Duffing oscillators[J].Nonlinear Dynamics, 2018, 93: 2283-2300.
›Chen Xingwu*, Chen Hebai.Global phase portraits of a degenerate Bogdanov-Takens system with symmetry: (II)[J].Discrete and Continuous Dynamical Systems-Series, 2018, 23: 4141-4170.
›Tang Yilei, Llibre Jamue*, Chen Hebai.Global study of SD oscillator[J].Nonlinear Dynamics, 2018, 91: 1755-1777.
›Zhang Jiye, Xie Jianhua, Chen Hebai, Li Denghui*.Sinai-Ruelle-Bowen measure for normal form map of grazing bifurcation of impact oscillators[J].Journal of Physics A: Mathematical and Theoretical, 2017, 50: 438-454.
›Xie Jianhua, Li Denghui, Cao Zhenbang, Chen Hebai*.Global analysis on a discontinuous dynamical system[J].International Journal of Bifurcation and Chaos, 2017, 27: 1750078.
›Yue Yuan, Xie Jianhua, Li Denghui, Chen Hebai*.Limit cycles in planar continuous piecewise linear systems[J].Communications in Nonlinear Science and Numerical, 2017, 47: 438-454.
›Xie Jianhua, Chen Xingwu*, Chen Hebai.Global phase portraits of a degenerate Bogdanov-Takens system with symmetry[J].Discrete and Continuous Dynamical Systems-Series B, 2017, 22: 1273-1293.
›Chen Xingwu, Chen Hebai*.A proof of Wang–Kooij's conjectures for a cubic Liénard system with a cusp[J].Journal of Mathematical Analysis and Applications, 2017, 445: 884-897.
›Chen Hebai.Global dynamics of memristor oscillators[J].International Journal of Bifurcation and Chaos, 2016, 26: 1650198.
›Xie Jianhua, Chen Hebai, Li Denghui*.Statistical properties of the universal limit map of grazing bifurcations[J].Journal of Physics A: Mathematical and Theoretical, 2016, 49: 355102.
›Zou Lan*, Chen Hebai.Global study of Rayleigh-Duffing oscillators[J].Journal of Physics A: Mathematical and Theoretical, 2016, 49: 165202.
›Xie Jianhua, Chen Hebai*.Harmonic and subharmonic solutions of the SD oscillator[J].Nonlinear Dynamics, 2016, 84: 2477-2486.
›Chen Hebai.Global bifurcation for a class of Filippov system with symmetry[J].Qualitative Theory of Dynamical Systems, 2016, 15: 349-365.
›Chen Hebai.Global analysis on the discontinuous limit case of a smooth oscillator[J].International Journal of Bifurcation and Chaos, 2016, 26: 1650061.
›Li Xuefang, Chen Hebai*.Global phase portraits of memristor oscillators[J].International Journal of Bifurcation and Chaos, 2014, 2014: 1450152.
›Xie Jianhua, Chen Hebai*.The number of limit cycles of the FitzHugh nerve system[J].Quarterly of Applied Mathematics, 2015, 73: 365-378.
›Chen Xingwu*, Chen Hebai.Dynamical analysis of a cubic Lienard system with global parameters: (II)[J].Nonlinearity, 2016, 29: 1798–1826.
›Chen Xingwu*, Chen Hebai.Dynamical analysis of a cubic Lienard system with global parameters[J].Nonlinearity, 2015, 28: 3535-3562.

研究兴趣为Hilbert第16问题、光滑及非光滑动力系统在全局参数下的全局动力学。

›2023-2024年度中南大学十佳青年,2024-05-04
›国家优青,2023-08-24
›湖南省“三尖”创新人才工程荷尖人才,2023-08-01
›福建省高层次人才,2019-05-05

专业:一般力学与力学基础
专业:基础数学
专业:数学基地班

福州大学 › 数学与计算机科学学院 › 副教授

担任杂志《Annals of Applied Mathematics》 Associate Editor

团队名称: 动力系统定性理论