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## Xie, Zhifu

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 Author ID: xie.zhifu Published as: Xie, Z. F.; Xie, Zhifu External Links: MGP
 Documents Indexed: 34 Publications since 2000, including 1 Book
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#### Co-Authors

 11 single-authored 10 Ouyang, Tiancheng 2 Haile, Dawit 2 Shi, Junping 2 Yan, Duokui 2 Zhang, Shiqing 1 Bhusal, Gokul 1 Davis, Candice 1 Geyer, Scott 1 Ghariban, Nasser 1 Henderson, Krystolyn 1 Hodge, Kenyaita 1 Johnson, William C. 1 Johnson, William R. 1 Kuang, Wentian 1 Little, Kristina 1 Shiqing Zhang 1 Tahir, Hamas 1 Toni, Bourama 1 Westbrook, Michael 1 Williamson, Keith 1 Woodlin, Mervin 1 Zhao, Chunshan
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#### Serials

 4 Journal of Mathematical Physics 4 Journal of Differential Equations 3 Physics Letters. A 3 Celestial Mechanics and Dynamical Astronomy 3 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematical Biosciences 1 Nonlinearity 1 Journal of Geometry and Physics 1 Applied Mathematics and Computation 1 Transactions of the American Mathematical Society 1 Physica D 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Applied Analysis and Computation 1 Springer Proceedings in Mathematics & Statistics
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#### Fields

 24 Mechanics of particles and systems (70-XX) 9 Partial differential equations (35-XX) 9 Dynamical systems and ergodic theory (37-XX) 5 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 230 times in 150 Documents Cited by Year
Cross-diffusion induced Turing instability for a three species food chain model. Zbl 1243.35093
Xie, Zhifu
2012
Cross-diffusion induced instability and stability in reaction-diffusion systems. Zbl 1304.35329
Shi, Junping; Xie, Zhifu; Little, Kristina
2011
Classification of four-body central configurations with three equal masses. Zbl 1301.70008
Shi, Junping; Xie, Zhifu
2010
Isosceles trapezoid central configurations of the Newtonian four-body problem. Zbl 1308.70013
Xie, Zhifu
2012
Turing instability in a coupled predator-prey model with different Holling type functional responses. Zbl 1214.92072
Xie, Zhifu
2011
The exact boundary blow-up rate of large solutions for semilinear elliptic problems. Zbl 1138.35025
Ouyang, Tiancheng; Xie, Zhifu
2008
The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation. Zbl 1161.35005
Ouyang, Tiancheng; Xie, Zhifu
2006
Collinear central configuration in four-body problem. Zbl 1129.70011
Ouyang, Tiancheng; Xie, Zhifu
2005
Inverse problem of central configurations and singular curve in the collinear 4-body problem. Zbl 1223.70057
Xie, Zhifu
2010
Pyramidal central configurations and perverse solutions. Zbl 1085.70013
Ouyang, Tiancheng; Xie, Zhifu; Shiqing Zhang
2004
Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem. Zbl 1364.70024
Ouyang, Tiancheng; Xie, Zhifu
2015
Uniqueness and blow-up rate of large solutions for elliptic equation $$-\Delta u=\lambda u - b(x)h(u)$$. Zbl 1173.35064
Xie, Zhifu
2009
Super central configurations of the $$n$$-body problem. Zbl 1310.70023
Xie, Zhifu
2010
Collinear central configurations in the $$N$$-body problem with general homogeneous potential. Zbl 1236.70008
Woodlin, Mervin; Xie, Zhifu
2009
Nested regular polygon solutions of $$2N$$-body problem. Zbl 1092.70505
Zhang, Shiqing; Xie, Zhifu
2001
A simpler proof of regular polygon solutions of the $$N$$-body problem. Zbl 1334.70027
Xie, Zhifu; Zhang, Shiqing
2000
Long-time behavior and Turing instability induced by cross-diffusion in a three species food chain model with a Holling type-II functional response. Zbl 1328.35095
Haile, Dawit; Xie, Zhifu
2015
Number of central configurations and singular surfaces in the mass space in the collinear four-body problem. Zbl 1258.70022
Ouyang, Tiancheng; Xie, Zhifu
2012
Classification of periodic orbits in the planar equal-mass four-body problem. Zbl 1360.70017
Xie, Zhifu; Ouyang, Tiancheng; Yan, Duokui
2015
Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem. Zbl 1171.37034
Ouyang, Tiancheng; Xie, Zhifu
2009
An analytical proof on certain determinants connected with the collinear central configurations in the $$n$$-body problem. Zbl 1293.15003
Xie, Zhifu
2014
Blow-up rate and uniqueness of singular radial solutions for a class of quasi-linear elliptic equations. Zbl 1235.35135
Xie, Zhifu; Zhao, Chunshan
2012
Central configurations of the collinear three-body problem and singular surfaces in the mass space. Zbl 1252.70031
Xie, Zhifu
2011
The golden ratio and super central configurations of the $$n$$-body problem. Zbl 1230.37101
Xie, Zhifu
2011
Inverse problem of central configurations in the collinear 5-body problem. Zbl 1391.70027
Davis, Candice; Geyer, Scott; Johnson, William; Xie, Zhifu
2018
A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses. Zbl 1382.37092
Ouyang, Tiancheng; Xie, Zhifu
2018
General uniqueness results and examples for blow-up solutions of elliptic equations. Zbl 1189.35107
Xie, Zhifu
2009
Inverse problem of central configurations in the collinear 5-body problem. Zbl 1391.70027
Davis, Candice; Geyer, Scott; Johnson, William; Xie, Zhifu
2018
A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses. Zbl 1382.37092
Ouyang, Tiancheng; Xie, Zhifu
2018
Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem. Zbl 1364.70024
Ouyang, Tiancheng; Xie, Zhifu
2015
Long-time behavior and Turing instability induced by cross-diffusion in a three species food chain model with a Holling type-II functional response. Zbl 1328.35095
Haile, Dawit; Xie, Zhifu
2015
Classification of periodic orbits in the planar equal-mass four-body problem. Zbl 1360.70017
Xie, Zhifu; Ouyang, Tiancheng; Yan, Duokui
2015
An analytical proof on certain determinants connected with the collinear central configurations in the $$n$$-body problem. Zbl 1293.15003
Xie, Zhifu
2014
Cross-diffusion induced Turing instability for a three species food chain model. Zbl 1243.35093
Xie, Zhifu
2012
Isosceles trapezoid central configurations of the Newtonian four-body problem. Zbl 1308.70013
Xie, Zhifu
2012
Number of central configurations and singular surfaces in the mass space in the collinear four-body problem. Zbl 1258.70022
Ouyang, Tiancheng; Xie, Zhifu
2012
Blow-up rate and uniqueness of singular radial solutions for a class of quasi-linear elliptic equations. Zbl 1235.35135
Xie, Zhifu; Zhao, Chunshan
2012
Cross-diffusion induced instability and stability in reaction-diffusion systems. Zbl 1304.35329
Shi, Junping; Xie, Zhifu; Little, Kristina
2011
Turing instability in a coupled predator-prey model with different Holling type functional responses. Zbl 1214.92072
Xie, Zhifu
2011
Central configurations of the collinear three-body problem and singular surfaces in the mass space. Zbl 1252.70031
Xie, Zhifu
2011
The golden ratio and super central configurations of the $$n$$-body problem. Zbl 1230.37101
Xie, Zhifu
2011
Classification of four-body central configurations with three equal masses. Zbl 1301.70008
Shi, Junping; Xie, Zhifu
2010
Inverse problem of central configurations and singular curve in the collinear 4-body problem. Zbl 1223.70057
Xie, Zhifu
2010
Super central configurations of the $$n$$-body problem. Zbl 1310.70023
Xie, Zhifu
2010
Uniqueness and blow-up rate of large solutions for elliptic equation $$-\Delta u=\lambda u - b(x)h(u)$$. Zbl 1173.35064
Xie, Zhifu
2009
Collinear central configurations in the $$N$$-body problem with general homogeneous potential. Zbl 1236.70008
Woodlin, Mervin; Xie, Zhifu
2009
Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem. Zbl 1171.37034
Ouyang, Tiancheng; Xie, Zhifu
2009
General uniqueness results and examples for blow-up solutions of elliptic equations. Zbl 1189.35107
Xie, Zhifu
2009
The exact boundary blow-up rate of large solutions for semilinear elliptic problems. Zbl 1138.35025
Ouyang, Tiancheng; Xie, Zhifu
2008
The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation. Zbl 1161.35005
Ouyang, Tiancheng; Xie, Zhifu
2006
Collinear central configuration in four-body problem. Zbl 1129.70011
Ouyang, Tiancheng; Xie, Zhifu
2005
Pyramidal central configurations and perverse solutions. Zbl 1085.70013
Ouyang, Tiancheng; Xie, Zhifu; Shiqing Zhang
2004
Nested regular polygon solutions of $$2N$$-body problem. Zbl 1092.70505
Zhang, Shiqing; Xie, Zhifu
2001
A simpler proof of regular polygon solutions of the $$N$$-body problem. Zbl 1334.70027
Xie, Zhifu; Zhang, Shiqing
2000
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#### Cited by 219 Authors

 20 Xie, Zhifu 12 Llibre, Jaume 10 Corbera, Montserrat 8 López-Gómez, Julián 8 Ouyang, Tiancheng 7 Yan, Duokui 6 Maire, Luis 5 Zhang, Shiqing 3 Barreira, Raquel 3 Cai, Yongli 3 Chen, Jian 3 Dai, Binxiang 3 Han, Renji 3 Li, Wan-Tong 3 Liu, Rongchang 3 Ma, Zhanping 3 Madzvamuse, Anotida 3 Parshad, Rana D. 3 Santoprete, Manuele 3 Shi, Junping 3 Wang, Mingxin 3 Wang, Xiaoli 3 Wang, Yuxia 3 Zhang, Guohong 3 Zhao, Furong 2 Alvarez-Ramírez, Martha 2 Banerjee, Malay 2 Cano-Casanova, Santiago 2 Chen, Yujuan 2 Cors, Josep Maria 2 Deng, Chunhua 2 Fernandes, Antonio Carlos 2 Ferrario, Davide L. 2 Fu, Shengmao 2 Huang, Shuibo 2 Jiao, Yujuan 2 Kumar Upadhyay, Ranjit 2 Kumari, Nitu 2 Mello, Luis Fernando O. 2 Ndakwo, Hussaini S. 2 Quansah, Emmanuel 2 Shen, Jianwei 2 Song, Yongli 2 Wang, Jinfeng 2 Wang, Weiming 2 Zhou, Qing 1 Abderrahmane, Hamid Ait 1 Abid, Walid 1 Aghriche, Ahmed 1 Agrawal, Rashmi 1 Alves, Claudianor Oliveira 1 Amima, Innocenter 1 Aziz-Alaoui, Moulay-Ahmed 1 Bakker, Lennard F. 1 Banerjee, Santo 1 Bao, Jie 1 Basheer, Aladeen 1 Beauregard, Matthew A. 1 Beltritti, Gastón 1 Bhowmick, Suman 1 Bhusal, Gokul 1 Bie, Qunyi 1 Black, Kelly 1 Campos, Juan F. 1 Castaneira, Reynaldo 1 Chang, Xiaojun 1 Choi, Jaewon 1 Choi, Yongho 1 Choo, Sangmok 1 Czirják, Zalán 1 Davis, Candice 1 Del Pino, Manuel A. 1 Delgado, Joaquín F. 1 Deng, Yiyang 1 Djilali, Salih 1 Dolbeault, Jean 1 Duignan, Nathan 1 Dullin, Holger R. 1 Érdi, Bálint 1 Fang, Liting 1 Gan, Wenzhen 1 Gasull, Armengol 1 Geyer, Scott 1 Ghorai, Saktipada 1 Haile, Dawit 1 Hampton, Marshall 1 Hamydy, Ahmed 1 Hao, Ruiya 1 Hasan, Md. Nazmul 1 Henderson, Krystolyn 1 Hénot, Olivier 1 Hodge, Kenyaita 1 Huang, Feimin 1 Iqbal, Hussain Muhammad Ather 1 Jana, Debaldev 1 Jeong, Darae 1 Jia, Yunfeng 1 Jiang, Heping 1 Johnson, William C. 1 Johnson, William R. ...and 119 more Authors
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#### Cited in 51 Serials

 12 Journal of Mathematical Analysis and Applications 12 Journal of Differential Equations 11 Celestial Mechanics and Dynamical Astronomy 9 Nonlinear Analysis. Real World Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applied Mathematics and Computation 5 Mathematical Biosciences 5 Journal of Geometry and Physics 5 Qualitative Theory of Dynamical Systems 4 Journal of Mathematical Physics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Abstract and Applied Analysis 3 Computers & Mathematics with Applications 3 Nonlinearity 3 Physics Letters. A 3 Chaos, Solitons and Fractals 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Discrete and Continuous Dynamical Systems 3 Communications in Nonlinear Science and Numerical Simulation 3 Advances in Difference Equations 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 Proceedings of the American Mathematical Society 2 Journal of Dynamics and Differential Equations 2 Discrete Dynamics in Nature and Society 2 Advanced Nonlinear Studies 2 Journal of Applied Mathematics and Computing 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 International Journal of Biomathematics 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Science in China. Series A 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Complexity 1 Nonlinear Dynamics 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematical Biosciences and Engineering 1 Boundary Value Problems 1 Advances in Mathematical Physics 1 Journal of Applied Analysis and Computation 1 ISRN Biomathematics
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#### Cited in 22 Fields

 72 Partial differential equations (35-XX) 63 Mechanics of particles and systems (70-XX) 48 Biology and other natural sciences (92-XX) 22 Dynamical systems and ergodic theory (37-XX) 17 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)