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个人简介

教育背景 1999-2003:南开大学数学系,本科 2004-2009:美国Brigham Young University,博士,导师:欧阳天成教授 工作简历 2009-2011:南开大学陈省身数学所博士后,合作导师:龙以明院士 2011-2015:北京航空航天大学,数学与系统科学学院,讲师 2015-2020:北京航空航天大学,数学科学学院,副教授 2020至今:北京航空航天大学,数学科学学院,教授 科研项目 主持国家自然科学基金面上项目:N体问题中几类特殊周期轨道的存在性研究,2019.1-2022.12 主持国家自然科学基金青年基金:N体问题中两类特殊周期轨道的存在性和稳定性,2012.1-2014.12 参与国家自然科学基金重点项目:深空探测中的若干关键非线性不确定性动力学与控制问题研究,2015.1-2019.12

研究领域

Hamiltonian System, Variational method, Celestial mechanics, Index theory

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

Liu, Jiaying; Yan, Duokui; Zhou, Yuan; Existence of hyperbolic motions to a class of Hamiltonians and generalized N-body system via a geometric approach, Archive for Rational Mechanics and Analysis, Accepted, 2023; Chang, Xiaojun; Wang, Ru; Yan, Duokui; Ground States for Logarithmic Schr?dinger Equations on Locally Finite Graphs, Journal of Geometric Analysis, 2023, (33): 211; Chang, Xiaojun; Liu, Manting; Yan, Duokui; Normalized ground state solutions of nonlinear Schr?dinger equations involving exponential critical growth, Journal of Geometric Analysis, 2023, (33): 83; Kuang, Wentian; Yan, Duokui; Geometric properties of minimizers in the planar three-body problem with two equal masses, Calculus of Variations and Partial Differential Equations, 2022, (61): 8; Liu, Rongchang; Yan, Duokui; Exclusion of quadruple collisions in minimizers of the planar equal-mass N-body problem, Journal of Differential Equations, 2021, (287): 113--147; Kuang, Wentian; Ouyang, Tiancheng; Yan, Duokui; A symmetric spatial periodic orbit in the 2n-body problem, Journal of Dynamics and Differential Equations, 2021, (33): 1605--1614; Kuang, Wentian; Ouyang, Tiancheng; Xie, Zhifu; Yan, Duokui; The Broucke-Henon orbit and the Schubart orbit in the planar three-body problem with two equal masses, Nonlinearity, 2019, (32): 4639--4664; Kuang, Wentian; Yan, Duokui; Existence of prograde double-double orbits in the equal-mass four-body problem, Advanced Nonlinear Studies, 2018,(18):819--843; Yan, Duokui; Action minimizers under topological constraints in the planar equal-mass four-body problem, Journal of Differential Equations, 2018, (264): 4764--4805; Liu, Rongchang; Li, Jiangyuan; Yan, Duokui; New periodic orbits in the planar equal-mass three-body problem, Discrete and Continuous Dynamical Systems, 2018, (38): 2187--2206; Han, Shaoqi; Huang, Anping; Ouyang, Tiancheng; Yan, Duokui; New periodic orbits in the planar equal-mass five-body problem, Communications in Nonlinear Science and Numerical Simulation, 2017, (48): 425--438; Shi, Bixiao; Liu, Rongchang; Yan, Duokui; Ouyang, Tiancheng; Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem, Advanced Nonlinear Studies, 2017, (17) : 819--835; Ouyang, Tiancheng; Yan, Duokui; Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem, Discrete and Continuous Dynamical Systems, 2017, (27): 3989--4018; Peng, Hao; Yan, Duokui; Xu, Shijie; Ouyang, Tiancheng; Linear stability of double-double orbits in the parallelogram four-body problem, Journal of Mathematical Analysis and Applications, 2016, (433): 785--802; Chang, Xiaojun; Ouyang, Tiancheng; Yan, Duokui; Linear stability of the criss-cross orbit in the equal-mass three-body problem, Discrete and Continuous Dynamical Systems, 2016, (36): 5971--5991; Yan, Duokui; Liu, Rongchang; Hu, Xingwei; Mao, Weize; Ouyang, Tiancheng; New phenomena in the spatial isosceles three-body problem with unequal masses, International Journal of Bifurcation and Chaos, 2015, (25): 1550169; Yan, Duokui; Ouyang,Tiancheng; New phenomena in the spatial isosceles three-body problem, International Journal of Bifurcation and Chaos, 2015, (25): 1550116; Ouyang, Tiancheng; Yan, Duokui; Simultaneous binary collisions in the equal-mass collinear four-body problem, Electronic Journal of Differential Equations, 2015, (80): 1--34; Yan, Duokui; Liu, Rongchang; Chang, Geng-zhe; A type of multiple integral with log-gamma function, Involve, 2015, (8): 593--614; Yan, Duokui; Ouyang, Tiancheng; Xie, Zhifu; Classification of periodic orbits in the planar equal-mass four-body problem, Discrete and Continuous Dynamical Systems –Special Issue, 2015: 1115--1124; Yan, Duokui; Existence of the Broucke periodic orbit and its linear stability, Journal of Mathematical Analysis and Applications, 2012, (389): 656--664; Yan, Duokui; A simple existence proof of Schubart periodic orbit with arbitrary masses, Frontiers of Mathematics in China, 2012, (7): 145--160; Yan, Duokui; Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem,Journal of Mathematical Analysis and Applications, 2012, (388): 942--951; Ouyang, Tiancheng; Simmons, Skyler C.; Yan, Duokui; Periodic solutions with singularities in two dimensions in the n-body problem, Rocky Mountain Journal of Mathematics, 2012, (42): 1601--1614; Ouyang, Tiancheng; Yan, Duokui; Periodic solutions with alternating singularities in the collinear four-body problem, Celestial Mechanics and Dynamical Astronomy, 2011, (109): 229--239; Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem, Celestial Mechanics and Dynamical Astronomy, 2011, (110): 271--290; Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E.; Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem, Celestial Mechanics and Dynamical Astronomy, 2010, (108): 147--164.

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