# zbMATH — the first resource for mathematics

## Xu, Lan

Compute Distance To:
 Author ID: xu.lan Published as: Xu, Lan; Xu, L.
 Documents Indexed: 88 Publications since 1985
all top 5

#### Co-Authors

 16 single-authored 11 Zhou, Sizhong 8 Su, Guifu 4 Xiong, Liming 3 Sun, Zhiren 3 Xu, Yang 2 Cao, Yongluo 2 Chen, Beimei 2 Du, Jianwei 2 Guo, Litao 2 Guo, Xiaofeng 2 Huang, Ting-Zhu 2 Kuang, Leman 2 Liu, Guizhen 2 Ma, Beibei 2 Madala, R. V. 2 Rödder, Wilhelm 2 Sun, Xiaoling 2 Wu, Guiping 2 Wu, Qinqin 2 Yan, Lin 2 Zhang, Tao 2 Zhang, Xin 1 Bian, Qiuxiang 1 Cao, Qingjie 1 Chang, Qianshun S. 1 Dai, Zhengde 1 Djidjeli, K. 1 Fang, Maofa 1 Gao, Yubin 1 Guo, Degui 1 Gutman, Ivan M. 1 He, Ji-Huan 1 He, Zhi 1 Hou, Jianfeng 1 Jiang, Jiashang 1 Lee, Eric Wai Ming 1 Liu, Bin 1 Liu, Dahsin 1 Liu, Hongxia 1 Lu, Xianqiang 1 Markowski, Carol A. 1 Markowski, Edward P. 1 Mohyud-Din, Syed Tauseef 1 Nickels, W. 1 Nyan, M. N. 1 Price, W. Geraint 1 Rusak, Zvi 1 Shan, Hangguan 1 Shao, Yanling 1 Su, Xiang 1 Tan, Qing-Shou 1 Tang, Shiqing 1 Tari, Hafez 1 Tay, Francis Eng Hock 1 Twizell, E. H. 1 Wang, Bing 1 Wang, Huijuan 1 Wang, Qiong 1 Wang, Shixiao 1 Wang, Zongxin 1 Wazwaz, Abdul-Majid Abdul-Rahman 1 Wu, Baoyindureng 1 Xiao, Zhijie 1 Xu, Bo 1 Xu, Ying 1 Xu, Zurun 1 Yan, Lin-Ling 1 Yap, K. L. 1 Yu, Dongxiao 1 Zhang, Lina 1 Zhang, Nan 1 Zhang, Ping-ke 1 Zhang, Shiyang 1 Zhao, Yun 1 Zheng, Daosheng 1 Zhu, Peicheng 1 Zimmermann, Hans-Jürgen
all top 5

#### Serials

 9 International Journal of Theoretical Physics 5 Computers & Mathematics with Applications 4 Chaos, Solitons and Fractals 4 Journal of Shandong University. Natural Science 3 Utilitas Mathematica 3 Journal of East China Normal University. Natural Science Edition 2 Physics Letters. A 2 Applied Mathematics and Computation 2 International Journal of Production Research 2 Acta Mathematicae Applicatae Sinica. English Series 2 Filomat 2 Abstract and Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 1 Modern Physics Letters B 1 Astronomy and Astrophysics 1 Biological Cybernetics 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Sound and Vibration 1 Nonlinearity 1 Zeitschrift fuer Naturforschung, A: Physical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal of Econometrics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theoretical Computer Science 1 Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica 1 Journal of Xiamen University. Natural Science 1 Journal of Fudan University. Natural Science 1 Journal of Xinjiang University. Natural Science 1 Applied Mathematics Letters 1 Aequationes Mathematicae 1 European Journal of Operational Research 1 Journal of Elasticity 1 Journal of Physics A: Mathematical and General 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Advances in Engineering Software 1 Topological Methods in Nonlinear Analysis 1 Arab Journal of Mathematical Sciences 1 Nonlinear Studies 1 Mathematical & Computational Applications 1 Journal of Mathematical Study 1 Dynamical Systems 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Quantum Information Processing 1 Journal of University of Electronic Science and Technology of China 1 Control and Decision 1 Journal of Physics A: Mathematical and Theoretical 1 Iranian Journal of Mathematical Chemistry 1 Journal of Applied Mathematics & Informatics 1 Journal of Applied Analysis and Computation 1 Applied Mathematics and Nonlinear Sciences
all top 5

#### Fields

 27 Combinatorics (05-XX) 14 Numerical analysis (65-XX) 13 Quantum theory (81-XX) 7 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 5 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 4 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

45 Publications have been cited 351 times in 261 Documents Cited by Year
Variational iteration method for solving integral equations. Zbl 1141.65400
Xu, Lan
2007
He’s homotopy perturbation method for a boundary layer equation in unbounded domain. Zbl 1267.76089
Xu, Lan
2007
He’s parameter-expanding methods for strongly nonlinear oscillators. Zbl 1120.65084
Xu, Lan
2007
Variational approach to solitons of nonlinear dispersive $$K(m, n)$$ equations. Zbl 1143.35361
Xu, Lan
2008
Acyclic edge coloring of planar graphs with large girth. Zbl 1194.68178
Yu, Dongxiao; Hou, Jianfeng; Liu, Guizhen; Liu, Bin; Xu, Lan
2009
Determination of limit cycle by He’s parameter-expanding method for strongly nonlinear oscillators. Zbl 1242.70038
Xu, Lan
2007
On the global nonlinear stability of a near-critical swirling flow in a long finite-length pipe and the path to vortex breakdown. Zbl 1275.76114
Rusak, Z.; Wang, S.; Xu, L.; Taylor, S.
2012
The variational iteration method for fourth order boundary value problems. Zbl 1197.65114
Xu, Lan
2009
Topological indices of the line graph of subdivision graphs and their Schur-bounds. Zbl 1338.05070
Su, Guifu; Xu, Lan
2015
Variational principles for coupled nonlinear Schrödinger equations. Zbl 1236.35175
Xu, Lan
2006
A variational approach to analyzing catalytic reactions in short monoliths. Zbl 1189.35090
Xu, Lan; Zhang, Nan
2009
Determination of the limit cycle by He’s parameter-expansion for oscillators in a $$u^3/(1+u^2)$$ potential. Zbl 1203.34053
Zhang, Li-Na; Xu, Lan
2007
Preface to the special issue on “The variational iteration method: reliable, efficient, and promising”. Zbl 1138.65301
He, Ji-Huan; Wazwaz, Abdul-Majid; Xu, Lan
2007
Intelligent gradient search in linear programming. Zbl 0585.90056
Nickels, W.; Rödder, W.; Xu, L.; Zimmermann, H.-J.
1985
Nonlinear vibrations of dynamical systems with a general form of piecewise-linear viscous damping by incremental harmonic balance method. Zbl 0997.70022
Xu, L.; Lu, M. W.; Cao, Q.
2002
Transformation graph $$G^{-+-}$$. Zbl 1205.05163
Xu, Lan; Wu, Baoyindureng
2008
The Nordhaus-Gaddum-type inequalities for the Zagreb index and co-index of graphs. Zbl 1251.05051
Su, Guifu; Xiong, Liming; Xu, Lan
2012
Remarks on fractional ID-$$k$$-factor-critical graphs. Zbl 1416.05238
Zhou, Si-Zhong; Xu, Lan; Xu, Zu-Run
2019
A Hamiltonian approach for a plasma physics problem. Zbl 1219.82034
Xu, Lan
2011
On the maximum and minimum first reformulated Zagreb index of graphs with connectivity at most $$k$$. Zbl 1265.05127
Su, Guifu; Xiong, Liming; Xu, Lan; Ma, Beibei
2011
MEMSWear-biomonitoring system for remote vital signs monitoring. Zbl 1172.92363
Tay, Francis E. H.; Guo, D. G.; Xu, L.; Nyan, M. N.; Yap, K. L.
2009
Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity. Zbl 0984.65134
Cao, Q.; Xu, L.; Djidjeli, K.; Price, W. G.; Twizell, E. H.
2001
Dynamics of two-strand yarn spinning in forced vibration. Zbl 1238.74020
Xu, Lan
2009
On the general sum-connectivity co-index of graphs. Zbl 1263.05110
Su, Guifu; Xu, Lan
2011
Stress analysis of imperfect composite laminates with an interlaminar bonding theory. Zbl 0813.73066
Liu, Dahsin; Xu, Lan; Lu, Xianqiang
1994
A note about exponentially attracting invariant manifold of ODEs. Zbl 1116.34044
Cao, Yongluo; Xu, Lan
2005
Single-mode excited entangled coherent states. Zbl 1091.81045
Xu, Lan; Kuang, Le-Man
2006
Independence number and minimum degree for fractional ID-$$k$$-factor-critical graphs. Zbl 1254.05161
Zhou, Sizhong; Xu, Lan; Sun, Zhiren
2012
Eliminating inconsistencies in the probabilistic expert system shell SPIRIT. (Behebung von Inkonsistenzen in der probabilistischen Expertensystem-Shell SPIRIT.) Zbl 1168.68581
Rödder, W.; Xu, L.
2001
Augmented Zagreb index of trees and unicyclic graphs with perfect matchings. Zbl 1427.05078
Sun, Xiaoling; Gao, Yubin; Du, Jianwei; Xu, Lan
2018
Application of Hamiltonian approach to an oscillation of a mass attached to a stretched elastic wire. Zbl 1371.74130
Xu, Lan
2010
A polychromatic sets approach to the conceptual design of machine tools. Zbl 1068.90076
Xu, L.; Li, Z.; Li, S.; Tang, F.
2005
Randomly orthogonal factorizations in networks. Zbl 1372.05179
Zhou, Sizhong; Xu, Lan; Xu, Yang
2016
Environment-assisted quantum critical effect for excitation energy transfer in a LH2-type trimer. Zbl 1325.81198
Xu, Lan; Xu, Bo
2015
A sufficient condition for the existence of a $$k$$-factor excluding a given $$r$$-factor. Zbl 1375.05222
Zhou, Sizhong; Xu, Lan; Xu, Yang
2017
Binding number and minimum degree for fractional $$(k,m)$$-deleted graphs. Zbl 1231.05219
Zhou, Sizhong; Bian, Qiuxiang; Xu, Lan
2012
Stress singularities at crack corners. Zbl 0828.73057
Xu, L.; Kundu, T.
1995
Assessment of the behavior of weakly and highly nonlinear friction-driven oscillatory systems. Zbl 1064.34023
Dai, L.; Xu, L.; Dong, M.
2005
A binding number condition for graphs to be $$(a, b, k)$$-critical graphs. Zbl 1251.05146
Zhou, Sizhong; Jiang, Jiashang; Xu, Lan
2012
Multipartite entanglement transfer in a hybrid circuit-QED system. Zbl 1255.81077
Wu, Qin-Qin; Xu, Lan; Tan, Qing-Shou; Yan, Lin-Ling
2012
Constraints on the generalized Chaplygin gas model including gamma-ray bursts via a Markov chain Monte Carlo approach. Zbl 1260.85141
Liang, N.; Xu, L.; Zhu, Z.-H.
2011
Independent domination bicritical graphs. Zbl 1240.05235
Xu, Lan; Xu, Ying; Zhang, Li
2010
Reciprocal product-degree distance of graphs. Zbl 1462.05104
Su, Guifu; Xiong, Liming; Gutman, Ivan; Xu, Lan
2016
Quantum entropy of non-Hermitian entangled systems. Zbl 1387.81093
Zhang, Shi-Yang; Fang, Mao-Fa; Xu, Lan
2017
Variational iteration method for the magnetohydrodynamic flow over a nonlinear stretching sheet. Zbl 1328.76052
Xu, Lan; Lee, Eric W. M.
2013
Remarks on fractional ID-$$k$$-factor-critical graphs. Zbl 1416.05238
Zhou, Si-Zhong; Xu, Lan; Xu, Zu-Run
2019
Augmented Zagreb index of trees and unicyclic graphs with perfect matchings. Zbl 1427.05078
Sun, Xiaoling; Gao, Yubin; Du, Jianwei; Xu, Lan
2018
A sufficient condition for the existence of a $$k$$-factor excluding a given $$r$$-factor. Zbl 1375.05222
Zhou, Sizhong; Xu, Lan; Xu, Yang
2017
Quantum entropy of non-Hermitian entangled systems. Zbl 1387.81093
Zhang, Shi-Yang; Fang, Mao-Fa; Xu, Lan
2017
Randomly orthogonal factorizations in networks. Zbl 1372.05179
Zhou, Sizhong; Xu, Lan; Xu, Yang
2016
Reciprocal product-degree distance of graphs. Zbl 1462.05104
Su, Guifu; Xiong, Liming; Gutman, Ivan; Xu, Lan
2016
Topological indices of the line graph of subdivision graphs and their Schur-bounds. Zbl 1338.05070
Su, Guifu; Xu, Lan
2015
Environment-assisted quantum critical effect for excitation energy transfer in a LH2-type trimer. Zbl 1325.81198
Xu, Lan; Xu, Bo
2015
Variational iteration method for the magnetohydrodynamic flow over a nonlinear stretching sheet. Zbl 1328.76052
Xu, Lan; Lee, Eric W. M.
2013
On the global nonlinear stability of a near-critical swirling flow in a long finite-length pipe and the path to vortex breakdown. Zbl 1275.76114
Rusak, Z.; Wang, S.; Xu, L.; Taylor, S.
2012
The Nordhaus-Gaddum-type inequalities for the Zagreb index and co-index of graphs. Zbl 1251.05051
Su, Guifu; Xiong, Liming; Xu, Lan
2012
Independence number and minimum degree for fractional ID-$$k$$-factor-critical graphs. Zbl 1254.05161
Zhou, Sizhong; Xu, Lan; Sun, Zhiren
2012
Binding number and minimum degree for fractional $$(k,m)$$-deleted graphs. Zbl 1231.05219
Zhou, Sizhong; Bian, Qiuxiang; Xu, Lan
2012
A binding number condition for graphs to be $$(a, b, k)$$-critical graphs. Zbl 1251.05146
Zhou, Sizhong; Jiang, Jiashang; Xu, Lan
2012
Multipartite entanglement transfer in a hybrid circuit-QED system. Zbl 1255.81077
Wu, Qin-Qin; Xu, Lan; Tan, Qing-Shou; Yan, Lin-Ling
2012
A Hamiltonian approach for a plasma physics problem. Zbl 1219.82034
Xu, Lan
2011
On the maximum and minimum first reformulated Zagreb index of graphs with connectivity at most $$k$$. Zbl 1265.05127
Su, Guifu; Xiong, Liming; Xu, Lan; Ma, Beibei
2011
On the general sum-connectivity co-index of graphs. Zbl 1263.05110
Su, Guifu; Xu, Lan
2011
Constraints on the generalized Chaplygin gas model including gamma-ray bursts via a Markov chain Monte Carlo approach. Zbl 1260.85141
Liang, N.; Xu, L.; Zhu, Z.-H.
2011
Application of Hamiltonian approach to an oscillation of a mass attached to a stretched elastic wire. Zbl 1371.74130
Xu, Lan
2010
Independent domination bicritical graphs. Zbl 1240.05235
Xu, Lan; Xu, Ying; Zhang, Li
2010
Acyclic edge coloring of planar graphs with large girth. Zbl 1194.68178
Yu, Dongxiao; Hou, Jianfeng; Liu, Guizhen; Liu, Bin; Xu, Lan
2009
The variational iteration method for fourth order boundary value problems. Zbl 1197.65114
Xu, Lan
2009
A variational approach to analyzing catalytic reactions in short monoliths. Zbl 1189.35090
Xu, Lan; Zhang, Nan
2009
MEMSWear-biomonitoring system for remote vital signs monitoring. Zbl 1172.92363
Tay, Francis E. H.; Guo, D. G.; Xu, L.; Nyan, M. N.; Yap, K. L.
2009
Dynamics of two-strand yarn spinning in forced vibration. Zbl 1238.74020
Xu, Lan
2009
Variational approach to solitons of nonlinear dispersive $$K(m, n)$$ equations. Zbl 1143.35361
Xu, Lan
2008
Transformation graph $$G^{-+-}$$. Zbl 1205.05163
Xu, Lan; Wu, Baoyindureng
2008
Variational iteration method for solving integral equations. Zbl 1141.65400
Xu, Lan
2007
He’s homotopy perturbation method for a boundary layer equation in unbounded domain. Zbl 1267.76089
Xu, Lan
2007
He’s parameter-expanding methods for strongly nonlinear oscillators. Zbl 1120.65084
Xu, Lan
2007
Determination of limit cycle by He’s parameter-expanding method for strongly nonlinear oscillators. Zbl 1242.70038
Xu, Lan
2007
Determination of the limit cycle by He’s parameter-expansion for oscillators in a $$u^3/(1+u^2)$$ potential. Zbl 1203.34053
Zhang, Li-Na; Xu, Lan
2007
Preface to the special issue on “The variational iteration method: reliable, efficient, and promising”. Zbl 1138.65301
He, Ji-Huan; Wazwaz, Abdul-Majid; Xu, Lan
2007
Variational principles for coupled nonlinear Schrödinger equations. Zbl 1236.35175
Xu, Lan
2006
Single-mode excited entangled coherent states. Zbl 1091.81045
Xu, Lan; Kuang, Le-Man
2006
A note about exponentially attracting invariant manifold of ODEs. Zbl 1116.34044
Cao, Yongluo; Xu, Lan
2005
A polychromatic sets approach to the conceptual design of machine tools. Zbl 1068.90076
Xu, L.; Li, Z.; Li, S.; Tang, F.
2005
Assessment of the behavior of weakly and highly nonlinear friction-driven oscillatory systems. Zbl 1064.34023
Dai, L.; Xu, L.; Dong, M.
2005
Nonlinear vibrations of dynamical systems with a general form of piecewise-linear viscous damping by incremental harmonic balance method. Zbl 0997.70022
Xu, L.; Lu, M. W.; Cao, Q.
2002
Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity. Zbl 0984.65134
Cao, Q.; Xu, L.; Djidjeli, K.; Price, W. G.; Twizell, E. H.
2001
Eliminating inconsistencies in the probabilistic expert system shell SPIRIT. (Behebung von Inkonsistenzen in der probabilistischen Expertensystem-Shell SPIRIT.) Zbl 1168.68581
Rödder, W.; Xu, L.
2001
Stress singularities at crack corners. Zbl 0828.73057
Xu, L.; Kundu, T.
1995
Stress analysis of imperfect composite laminates with an interlaminar bonding theory. Zbl 0813.73066
Liu, Dahsin; Xu, Lan; Lu, Xianqiang
1994
Intelligent gradient search in linear programming. Zbl 0585.90056
Nickels, W.; Rödder, W.; Xu, L.; Zimmermann, H.-J.
1985
all top 5