Edit Profile (opens in new tab) Xie, Zhifu Co-Author Distance Author ID: xie.zhifu Published as: Xie, Zhifu External Links: MGP Documents Indexed: 38 Publications since 2000, including 3 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 29 Co-Authors with 25 Joint Publications 233 Co-Co-Authors all top 5 Co-Authors 12 single-authored 11 Ouyang, Tiancheng 2 Haile, Dawit 2 Shi, Junping 2 Yan, Duokui 2 Zhang, Shiqing 1 Bhatta, Rimsha 1 Bhusal, Gokul 1 Burks, Nick 1 Dabney, Phillip 1 Davis, Candice 1 Fang, Gang 1 Fong, Yuen 1 Geyer, Scott 1 Ghariban, Nasser 1 Henderson, Krystolyn 1 Hodge, Kenyaita 1 Kharel, Aaditya 1 Kuang, Wentian 1 Little, Kristina 1 McCullum, Michelle 1 Sapkota, Nishchal 1 Shiqing Zhang 1 Sun, Shanzhong 1 Tahir, Hamas 1 Toni, Bourama 1 Westbrook, Michael 1 Williamson, Keith 1 Woodlin, Mervin 1 You, Peng 1 Zhao, Chunshan 1 Zhu, Huiqing all top 5 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 Southeast Asian Bulletin of Mathematics 1 Physica D 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Regular and Chaotic Dynamics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Applied Analysis and Computation 1 Springer Proceedings in Mathematics & Statistics 1 Electronic Research Archive all top 5 Fields 27 Mechanics of particles and systems (70-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Partial differential equations (35-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 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 284 times in 185 Documents Cited by ▼ Year ▼ Cross-diffusion induced instability and stability in reaction-diffusion systems. Zbl 1304.35329 Shi, Junping; Xie, Zhifu; Little, Kristina 38 2011 Cross-diffusion induced Turing instability for a three species food chain model. Zbl 1243.35093 Xie, Zhifu 36 2012 Classification of four-body central configurations with three equal masses. Zbl 1301.70008 Shi, Junping; Xie, Zhifu 15 2010 Isosceles trapezoid central configurations of the Newtonian four-body problem. Zbl 1308.70013 Xie, Zhifu 15 2012 Collinear central configuration in four-body problem. Zbl 1129.70011 Ouyang, Tiancheng; Xie, Zhifu 14 2005 Turing instability in a coupled predator-prey model with different Holling type functional responses. Zbl 1214.92072 Xie, Zhifu 14 2011 The exact boundary blow-up rate of large solutions for semilinear elliptic problems. Zbl 1138.35025 Ouyang, Tiancheng; Xie, Zhifu 12 2008 Inverse problem of central configurations and singular curve in the collinear 4-body problem. Zbl 1223.70057 Xie, Zhifu 12 2010 The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation. Zbl 1161.35005 Ouyang, Tiancheng; Xie, Zhifu 12 2006 Pyramidal central configurations and perverse solutions. Zbl 1085.70013 Ouyang, Tiancheng; Xie, Zhifu; Shiqing Zhang 11 2004 Super central configurations of the \(n\)-body problem. Zbl 1310.70023 Xie, Zhifu 10 2010 Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem. Zbl 1364.70024 Ouyang, Tiancheng; Xie, Zhifu 9 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 8 2012 Uniqueness and blow-up rate of large solutions for elliptic equation \(-\Delta u=\lambda u - b(x)h(u)\). Zbl 1173.35064 Xie, Zhifu 8 2009 Collinear central configurations in the \(N\)-body problem with general homogeneous potential. Zbl 1236.70008 Woodlin, Mervin; Xie, Zhifu 8 2009 A simpler proof of regular polygon solutions of the \(N\)-body problem. Zbl 1334.70027 Xie, Zhifu; Zhang, Shiqing 7 2000 Nested regular polygon solutions of \(2N\)-body problem. Zbl 1092.70505 Zhang, Shiqing; Xie, Zhifu 7 2001 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 7 2015 An analytical proof on certain determinants connected with the collinear central configurations in the \(n\)-body problem. Zbl 1293.15003 Xie, Zhifu 5 2014 Central configurations of the collinear three-body problem and singular surfaces in the mass space. Zbl 1252.70031 Xie, Zhifu 5 2011 Inverse problem of central configurations in the collinear 5-body problem. Zbl 1391.70027 Davis, Candice; Geyer, Scott; Johnson, William; Xie, Zhifu 5 2018 Blow-up rate and uniqueness of singular radial solutions for a class of quasi-linear elliptic equations. Zbl 1235.35135 Xie, Zhifu; Zhao, Chunshan 4 2012 Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem. Zbl 1171.37034 Ouyang, Tiancheng; Xie, Zhifu 4 2009 The golden ratio and super central configurations of the \(n\)-body problem. Zbl 1230.37101 Xie, Zhifu 4 2011 Classification of periodic orbits in the planar equal-mass four-body problem. Zbl 1360.70017 Xie, Zhifu; Ouyang, Tiancheng; Yan, Duokui 4 2015 The Broucke-Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses. Zbl 1455.37069 Kuang, Wentian; Ouyang, Tiancheng; Xie, Zhifu; Yan, Duokui 4 2019 A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses. Zbl 1382.37092 Ouyang, Tiancheng; Xie, Zhifu 2 2018 General uniqueness results and examples for blow-up solutions of elliptic equations. Zbl 1189.35107 Xie, Zhifu 1 2009 Bridging mathematics, statistics, engineering and technology. Contributions from the fall 2011 seminar on mathematical sciences and applications, Virginia State University, Petersburg, VA, USA, 2011. Zbl 1250.00025 1 2012 Super central configurations of the three-body problem under the inverse integer power law. Zbl 1272.70058 Xie, Zhifu; Hodge, Kenyaita; Henderson, Krystolyn; Westbrook, Michael 1 2011 Super central configurations in the collinear 5-body problem. Zbl 1474.37114 Xie, Zhifu; Johnson, William 1 2020 Super central configurations in the collinear 5-body problem. Zbl 1474.37114 Xie, Zhifu; Johnson, William 1 2020 The Broucke-Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses. Zbl 1455.37069 Kuang, Wentian; Ouyang, Tiancheng; Xie, Zhifu; Yan, Duokui 4 2019 Inverse problem of central configurations in the collinear 5-body problem. Zbl 1391.70027 Davis, Candice; Geyer, Scott; Johnson, William; Xie, Zhifu 5 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 2 2018 Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem. Zbl 1364.70024 Ouyang, Tiancheng; Xie, Zhifu 9 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 7 2015 Classification of periodic orbits in the planar equal-mass four-body problem. Zbl 1360.70017 Xie, Zhifu; Ouyang, Tiancheng; Yan, Duokui 4 2015 An analytical proof on certain determinants connected with the collinear central configurations in the \(n\)-body problem. Zbl 1293.15003 Xie, Zhifu 5 2014 Cross-diffusion induced Turing instability for a three species food chain model. Zbl 1243.35093 Xie, Zhifu 36 2012 Isosceles trapezoid central configurations of the Newtonian four-body problem. Zbl 1308.70013 Xie, Zhifu 15 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 8 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 4 2012 Bridging mathematics, statistics, engineering and technology. Contributions from the fall 2011 seminar on mathematical sciences and applications, Virginia State University, Petersburg, VA, USA, 2011. Zbl 1250.00025 1 2012 Cross-diffusion induced instability and stability in reaction-diffusion systems. Zbl 1304.35329 Shi, Junping; Xie, Zhifu; Little, Kristina 38 2011 Turing instability in a coupled predator-prey model with different Holling type functional responses. Zbl 1214.92072 Xie, Zhifu 14 2011 Central configurations of the collinear three-body problem and singular surfaces in the mass space. Zbl 1252.70031 Xie, Zhifu 5 2011 The golden ratio and super central configurations of the \(n\)-body problem. Zbl 1230.37101 Xie, Zhifu 4 2011 Super central configurations of the three-body problem under the inverse integer power law. Zbl 1272.70058 Xie, Zhifu; Hodge, Kenyaita; Henderson, Krystolyn; Westbrook, Michael 1 2011 Classification of four-body central configurations with three equal masses. Zbl 1301.70008 Shi, Junping; Xie, Zhifu 15 2010 Inverse problem of central configurations and singular curve in the collinear 4-body problem. Zbl 1223.70057 Xie, Zhifu 12 2010 Super central configurations of the \(n\)-body problem. Zbl 1310.70023 Xie, Zhifu 10 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 8 2009 Collinear central configurations in the \(N\)-body problem with general homogeneous potential. Zbl 1236.70008 Woodlin, Mervin; Xie, Zhifu 8 2009 Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem. Zbl 1171.37034 Ouyang, Tiancheng; Xie, Zhifu 4 2009 General uniqueness results and examples for blow-up solutions of elliptic equations. Zbl 1189.35107 Xie, Zhifu 1 2009 The exact boundary blow-up rate of large solutions for semilinear elliptic problems. Zbl 1138.35025 Ouyang, Tiancheng; Xie, Zhifu 12 2008 The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation. Zbl 1161.35005 Ouyang, Tiancheng; Xie, Zhifu 12 2006 Collinear central configuration in four-body problem. Zbl 1129.70011 Ouyang, Tiancheng; Xie, Zhifu 14 2005 Pyramidal central configurations and perverse solutions. Zbl 1085.70013 Ouyang, Tiancheng; Xie, Zhifu; Shiqing Zhang 11 2004 Nested regular polygon solutions of \(2N\)-body problem. Zbl 1092.70505 Zhang, Shiqing; Xie, Zhifu 7 2001 A simpler proof of regular polygon solutions of the \(N\)-body problem. Zbl 1334.70027 Xie, Zhifu; Zhang, Shiqing 7 2000 all cited Publications top 5 cited Publications all top 5 Cited by 262 Authors 23 Xie, Zhifu 13 Llibre, Jaume 10 Corbera, Montserrat 9 Ouyang, Tiancheng 9 Yan, Duokui 8 López-Gómez, Julián 6 Maire, Luis 5 Zhang, Shiqing 4 Dai, Binxiang 4 Han, Renji 4 Shi, Junping 3 Barreira, Raquel 3 Cai, Yongli 3 Chen, Jian 3 Ferrario, Davide L. 3 Kumari, Nitu 3 Li, Wan-Tong 3 Liu, Rongchang 3 Ma, Zhanping 3 Madzvamuse, Anotida 3 Parshad, Rana D. 3 Santoprete, Manuele 3 Song, Yongli 3 Wang, Jinfeng 3 Wang, Mingxin 3 Wang, Xiaoli 3 Wang, Yuxia 3 Yang, Wenbin 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 Djilali, Salih 2 Fernandes, Antonio Carlos 2 Fu, Shengmao 2 Huang, Shuibo 2 Jia, Yunfeng 2 Jiao, Yujuan 2 Kuang, Wentian 2 Kumar Upadhyay, Ranjit 2 Maimaiti, Yimamu 2 Mello, Luis Fernando O. 2 Ndakwo, Hussaini S. 2 Quansah, Emmanuel 2 Shen, Jianwei 2 Simmons, Skyler Clayson 2 Su, Rina 2 Wang, Weiming 2 Wang, Zhiqiang 2 Xue, Pan 2 Yuan, Pengfei 2 Zhang, Chunrui 2 Zhou, Qing 2 Zhu, Chengcheng 2 Zhu, Jiang 1 Abderrahmane, Hamid Ait 1 Abid, Walid 1 Aghriche, Ahmed 1 Agrawal, Rashmi 1 Aldurayhim, Abdullah 1 Alves, Claudianor Oliveira 1 Amima, Innocenter 1 Appadu, Appanah Rao 1 Bakker, Lennard F. 1 Balachandran, Krishnan 1 Banerjee, Santo 1 Bao, Jie 1 Basheer, Aladeen 1 Beauregard, Matthew A. 1 Beltritti, Gastón 1 Bhowmick, Suman 1 Bhusal, Gokul 1 Bhuvaneswari, Venkatasubramaniam 1 Bie, Qunyi 1 Black, Kelly 1 Campos, Juan F. 1 Cao, Jianzhi 1 Castaneira, Reynaldo 1 Chang, Xiaojun 1 Choi, Jaewon 1 Choi, Yongho 1 Choo, Sangmok 1 Czirják, Zalán 1 Davis, Candice 1 de Waal, Gysbert Nicolaas 1 Del Pino, Manuel A. 1 Delgado, Joaquín F. 1 Deng, Yiyang 1 Doicu, Adrian 1 Doicu, Alexandru 1 Dolbeault, Jean 1 Duignan, Nathan 1 Dullin, Holger R. 1 Elsadany, Abdelalim A. 1 Elsonbaty, Amr R. 1 Érdi, Bálint ...and 162 more Authors all top 5 Cited in 63 Serials 14 Celestial Mechanics and Dynamical Astronomy 12 Journal of Mathematical Analysis and Applications 12 Journal of Differential Equations 11 Nonlinear Analysis. Real World Applications 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applied Mathematics and Computation 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Mathematical Biosciences 5 Journal of Geometry and Physics 5 Qualitative Theory of Dynamical Systems 4 Journal of Mathematical Physics 4 Chaos, Solitons and Fractals 4 Discrete and Continuous Dynamical Systems 4 Abstract and Applied Analysis 4 Mathematical Biosciences and Engineering 3 Computers & Mathematics with Applications 3 Nonlinearity 3 Physics Letters. A 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Applicandae Mathematicae 3 Journal of Dynamics and Differential Equations 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 Mathematical Methods in the Applied Sciences 2 Bulletin of Mathematical Biology 2 Proceedings of the American Mathematical Society 2 Topological Methods in Nonlinear Analysis 2 Nonlinear Dynamics 2 Discrete Dynamics in Nature and Society 2 Regular and Chaotic Dynamics 2 Discrete and Continuous Dynamical Systems. Series B 2 Advanced Nonlinear Studies 2 Journal of Applied Mathematics and Computing 2 Boundary Value Problems 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 International Journal of Biomathematics 1 Communications in Mathematical Physics 1 Physica A 1 Demonstratio Mathematica 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 Applied Mathematical Modelling 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Complexity 1 SIAM Journal on Applied Dynamical Systems 1 Mathematical Modelling of Natural Phenomena 1 Advances in Differential Equations and Control Processes 1 Advances in Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Fractional Differential Calculus 1 ISRN Biomathematics 1 Journal of Applied Nonlinear Dynamics 1 Electronic Research Archive all top 5 Cited in 24 Fields 90 Partial differential equations (35-XX) 77 Mechanics of particles and systems (70-XX) 68 Biology and other natural sciences (92-XX) 24 Dynamical systems and ergodic theory (37-XX) 15 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 3 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 2 Geometry (51-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 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-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) 1 Systems theory; control (93-XX) Citations by Year