# zbMATH — the first resource for mathematics

## Yan, Duokui

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 Author ID: yan.duokui Published as: Yan, D.; Yan, Duokui
 Documents Indexed: 23 Publications since 1993
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#### Co-Authors

 4 single-authored 14 Ouyang, Tiancheng 4 Liu, Rongchang 3 Simmons, Skyler C. 2 Bakker, Lennard F. 2 Kuang, Wentian 2 Xie, Zhifu 1 Chang, Gengzhe 1 Chang, Xiaojun 1 Han, Shaoqi 1 Hu, Xingwei 1 Huang, Anping 1 Li, Jiangyuan 1 Mao, Weize 1 Peng, Hao 1 Roberts, Gareth E. 1 Shi, Bixiao 1 Xu, Shijie
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#### Serials

 4 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Analysis and Applications 3 Celestial Mechanics and Dynamical Astronomy 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Advanced Nonlinear Studies 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Journal of Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Communications in Nonlinear Science and Numerical Simulation 1 Frontiers of Mathematics in China 1 Involve
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#### Fields

 20 Mechanics of particles and systems (70-XX) 5 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH

16 Publications have been cited 77 times in 37 Documents Cited by Year
Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem. Zbl 1223.70029
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E.
2010
Periodic solutions with singularities in two dimensions in the $$n$$-body problem. Zbl 1263.70015
Ouyang, Tiancheng; Simmons, Skyler C.; Yan, Duokui
2012
Periodic solutions with alternating singularities in the collinear four-body problem. Zbl 1270.70040
Ouyang, Tiancheng; Yan, Duokui
2011
Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem. Zbl 1232.70009
Yan, Duokui
2012
Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem. Zbl 1270.70034
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler
2011
Optimization algorithm with probabilistic estimation. Zbl 0797.90072
Yan, D.; Mukai, H.
1993
New phenomena in the spatial isosceles three-body problem. Zbl 1325.70026
Yan, Duokui; Ouyang, Tiancheng
2015
Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem. Zbl 1372.70038
Shi, Bixiao; Liu, Rongchang; Yan, Duokui; Ouyang, Tiancheng
2017
Classification of periodic orbits in the planar equal-mass four-body problem. Zbl 1360.70017
Xie, Zhifu; Ouyang, Tiancheng; Yan, Duokui
2015
Existence of the Broucke periodic orbit and its linear stability. Zbl 1232.70010
Yan, Duokui
2012
Linear stability of the criss-cross orbit in the equal-mass three-body problem. Zbl 1404.70027
Chang, Xiaojun; Ouyang, Tiancheng; Yan, Duokui
2016
Existence of prograde double-double orbits in the equal-mass four-body problem. Zbl 1435.70030
Kuang, Wentian; Yan, Duokui
2018
Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem. Zbl 1380.70031
Ouyang, Tiancheng; Yan, Duokui
2017
New phenomena in the spatial isosceles three-body problem with unequal masses. Zbl 1328.70005
Yan, Duokui; Liu, Rongchang; Hu, Xingwei; Mao, Weize; Ouyang, Tiancheng
2015
Simultaneous binary collisions in the equal-mass collinear four-body problem. Zbl 1392.70006
Ouyang, Tiancheng; Yan, Duokui
2015
A simple existence proof of Schubart periodic orbit with arbitrary masses. Zbl 1252.70035
Yan, Duokui
2012
Existence of prograde double-double orbits in the equal-mass four-body problem. Zbl 1435.70030
Kuang, Wentian; Yan, Duokui
2018
Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem. Zbl 1372.70038
Shi, Bixiao; Liu, Rongchang; Yan, Duokui; Ouyang, Tiancheng
2017
Variational properties and linear stabilities of spatial isosceles orbits in the equal-mass three-body problem. Zbl 1380.70031
Ouyang, Tiancheng; Yan, Duokui
2017
Linear stability of the criss-cross orbit in the equal-mass three-body problem. Zbl 1404.70027
Chang, Xiaojun; Ouyang, Tiancheng; Yan, Duokui
2016
New phenomena in the spatial isosceles three-body problem. Zbl 1325.70026
Yan, Duokui; Ouyang, Tiancheng
2015
Classification of periodic orbits in the planar equal-mass four-body problem. Zbl 1360.70017
Xie, Zhifu; Ouyang, Tiancheng; Yan, Duokui
2015
New phenomena in the spatial isosceles three-body problem with unequal masses. Zbl 1328.70005
Yan, Duokui; Liu, Rongchang; Hu, Xingwei; Mao, Weize; Ouyang, Tiancheng
2015
Simultaneous binary collisions in the equal-mass collinear four-body problem. Zbl 1392.70006
Ouyang, Tiancheng; Yan, Duokui
2015
Periodic solutions with singularities in two dimensions in the $$n$$-body problem. Zbl 1263.70015
Ouyang, Tiancheng; Simmons, Skyler C.; Yan, Duokui
2012
Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem. Zbl 1232.70009
Yan, Duokui
2012
Existence of the Broucke periodic orbit and its linear stability. Zbl 1232.70010
Yan, Duokui
2012
A simple existence proof of Schubart periodic orbit with arbitrary masses. Zbl 1252.70035
Yan, Duokui
2012
Periodic solutions with alternating singularities in the collinear four-body problem. Zbl 1270.70040
Ouyang, Tiancheng; Yan, Duokui
2011
Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem. Zbl 1270.70034
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler
2011
Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem. Zbl 1223.70029
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E.
2010
Optimization algorithm with probabilistic estimation. Zbl 0797.90072
Yan, D.; Mukai, H.
1993
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#### Cited by 44 Authors

 16 Yan, Duokui 12 Ouyang, Tiancheng 5 Simmons, Skyler C. 4 Bakker, Lennard F. 4 Xie, Zhifu 3 Liu, Rongchang 2 Cheng, Xuhua 2 Kuang, Wentian 2 Liu, Steve Wenbin 2 She, Zhikun 1 Alvarez-Ramírez, Martha 1 Castro Ortega, Alberto 1 Chen, Chwan-Hsen 1 Chen, Xiaojun 1 Chopovda, Valerie 1 Dai, Licheng 1 Dai, Liyi 1 Dai, Yu-Hong 1 Duignan, Nathan 1 Dullin, Holger R. 1 Falconi, Manuel J. 1 Hu, Xingwei 1 Krejić, Nataša 1 Krklec Jerinkić, Nataša 1 Lamb, John D. 1 Li, Cuiping 1 Li, Jiangyuan 1 Mancuso, Scott C. 1 Mao, Weize 1 Martínez, Regina 1 Medina, Mario 1 Peng, Hao 1 Perdomo, Oscar Mario 1 Qi, Liqun 1 Roberts, Gareth E. 1 Shapiro, Amy 1 Shi, Bixiao 1 Shibayama, Mitsuru 1 Sirlantzis, Konstantinos 1 Sweatman, Winston L. 1 Wang, Honggang 1 Wardi, Yorai 1 Wei, Zhi 1 Xu, Shijie
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#### Cited in 16 Serials

 6 Journal of Optimization Theory and Applications 6 Celestial Mechanics and Dynamical Astronomy 4 Journal of Mathematical Analysis and Applications 4 Discrete and Continuous Dynamical Systems 2 Nonlinearity 2 Journal of Differential Equations 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Qualitative Theory of Dynamical Systems 2 Advanced Nonlinear Studies 1 Archive for Rational Mechanics and Analysis 1 Rocky Mountain Journal of Mathematics 1 Physica D 1 Journal of Global Optimization 1 European Journal of Operational Research 1 Journal of Dynamics and Differential Equations 1 Frontiers of Mathematics in China
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#### Cited in 9 Fields

 29 Mechanics of particles and systems (70-XX) 10 Dynamical systems and ergodic theory (37-XX) 5 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)