Edit Profile (opens in new tab) Liu, Bin Co-Author Distance Author ID: liu.bin Published as: Liu, Bin; Liu, B. Homepage: https://www.math.pku.edu.cn/en/peoplefaculty/170.html Documents Indexed: 86 Publications since 1990, including 22 Additional arXiv Preprints Reviewing Activity: 40 Reviews Co-Authors: 21 Co-Authors with 27 Joint Publications 807 Co-Co-Authors all top 5 Co-Authors 29 single-authored 6 Mi, Ling 5 Li, Xiong 4 Huang, Peng 3 Braslavsky, Julio H. 3 Lan, Haibo 3 You, Jiangong 3 Zhai, Bingxu 2 Capietto, Anna 2 Dong, Zhaoyang 2 Geth, Frederik 2 Hu, Shengqing 2 Mahdavi, Nariman 2 Meng, Ke 2 Ting, Tian 2 Wang, Yiqian 2 Wong, Peter K. C. 1 Bar-Noy, Amotz 1 Brinsmead, Thomas S. 1 Chan, Maria K. Y. 1 Chen, Guanrong 1 Cheng, Zhaomeng 1 Curtiss, Larry 1 Dambrosio, Walter 1 Davy, Robert 1 Deng, Mingxi 1 Ding, Tongren 1 Feng, Binlu 1 Fu, Zunwei 1 Govindan, Ramesh 1 Greeley, Jeffrey 1 Hereld, Mark 1 Jin, Huiping 1 Knoll, Aaron 1 Kong, Linghao 1 Kunze, Markus 1 Küpper, Tassilo 1 Lau, Kah Chun 1 Li, Dongming 1 Li, Jing 1 Li, Yaqiong 1 Li, Zhiwu 1 Liu, Mengchen 1 Luo, Xu-Bao 1 Neely, Michael J. 1 Papka, Michael E. 1 Qi, Qu 1 Qi, Yanfeng 1 Qian, Yi-Cheng 1 Song, Jiajia 1 Sun, Yanmei 1 Tang, Yingchao 1 Terlecky, Peter 1 Wang, Bo 1 Wang, Long 1 Wang, Yanhong 1 Westerlund, Stefan 1 Wu, Weimin 1 Xie, Jing 1 Xu, Ran 1 Yang, Dong 1 Yang, Yi-Ru 1 Yu, Yuan-hong 1 Zanolin, Fabio 1 Zhang, Cuo 1 Zhang, Di 1 Zhang, Haitao 1 Zhong, Jiangxia all top 5 Serials 8 Journal of Differential Equations 4 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 Science in China. Series A 3 Discrete and Continuous Dynamical Systems 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Acta Mathematica Sinica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Advances in Mathematics (Beijing) 2 Hunan Annals of Mathematics 2 Acta Mathematica Sinica. New Series 2 Journal of Dynamics and Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications 1 International Journal of Control 1 Journal of the Franklin Institute 1 Applied Mathematics and Computation 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Ricerche di Matematica 1 Acta Mathematicae Applicatae Sinica 1 Chinese Annals of Mathematics. Series A 1 Acta Mathematica Hungarica 1 Annals of Differential Equations 1 International Journal of Mathematics 1 Applied Mathematics. Series A (Chinese Edition) 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 International Journal of Computational Methods 1 Applicable Analysis and Discrete Mathematics 1 Science China. Mathematics 1 International Journal for Uncertainty Quantification 1 IEEE Transactions on Circuits and Systems I: Regular Papers all top 5 Fields 38 Ordinary differential equations (34-XX) 17 Dynamical systems and ergodic theory (37-XX) 8 Partial differential equations (35-XX) 5 Mechanics of particles and systems (70-XX) 4 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Nonassociative rings and algebras (17-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 493 times in 268 Documents Cited by ▼ Year ▼ Boundedness in nonlinear oscillations at resonance. Zbl 0926.34028 Liu, Bin 45 1999 Boundedness in asymmetric oscillations. Zbl 0926.34026 Liu, Bin 43 1999 On lower dimensional invariant tori in reversible systems. Zbl 1070.37045 Liu, Bin 33 2001 Boundedness of solutions for semilinear Duffing equations. Zbl 0913.34032 Liu, Bin 29 1998 Invariant curves of quasi-periodic reversible mappings. Zbl 1067.37080 Liu, Bin 25 2005 Boundedness for solutions of nonlinear periodic differential equations via Moser’s twist theorem. Zbl 0756.34050 Liu, Bin 24 1992 On Littlewood’s boundedness problem for sublinear Duffing equations. Zbl 0974.34031 Liu, Bin 21 2001 Boundedness and unboundedness of solutions for reversible oscillators at resonance. Zbl 0998.34029 Kunze, Markus; Küpper, Tassilo; Liu, Bin 20 2001 Quasi-periodic solutions of forced isochronous oscillators at resonance. Zbl 1170.34030 Liu, Bin 19 2009 The stability of the equilibrium of a conservative system. Zbl 0873.34042 Liu, Bin 18 1996 Completely degenerate lower-dimensional invariant tori for Hamiltonian system. Zbl 1415.37082 Hu, Shengqing; Liu, Bin 15 2019 On the boundedness of solutions to a nonlinear singular oscillator. Zbl 1189.34070 Capietto, Anna; Dambrosio, Walter; Liu, Bin 15 2009 Quasi-periodic solutions for an asymmetric oscillation. Zbl 1378.37078 Huang, Peng; Li, Xiong; Liu, Bin 14 2016 Invariant curves of reversible mappings with small twist. Zbl 1057.37054 Liu, Bin; Song, Jiajia 14 2004 Quasiperiodic solutions of Duffing’s equations. Zbl 0947.34029 Liu, Bin; You, Jiangong 13 1998 Multiplicity results for periodic solutions of a second order quasilinear ODE with asymmetric nonlinearities. Zbl 0934.34035 Liu, Bin 12 1998 Invariant curves of smooth quasi-periodic mappings. Zbl 1372.37088 Huang, Peng; Li, Xiong; Liu, Bin 11 2018 Boundedness of solutions of nonlinear differential equations. Zbl 0909.34035 Liu, Bin; Zanolin, Fabio 11 1998 Boundedness of solutions for equations with \(p\)-Laplacian and an asymmetric nonlinear term. Zbl 1069.34052 Liu, Bin 11 2004 Degenerate lower dimensional invariant tori in reversible system. Zbl 1409.37062 Hu, Shengqing; Liu, Bin 10 2018 The stability of the equilibrium of planar Hamiltonian and reversible systems. Zbl 1103.37037 Liu, Bin 10 2006 Invariant tori in nonlinear oscillations. Zbl 0962.34027 Liu, Bin; Wang, Yiqian 9 1999 Second order expansion for blowup solutions of semilinear elliptic problems. Zbl 1253.35057 Mi, Ling; Liu, Bin 9 2012 The stability of the equilibrium of reversible systems. Zbl 0924.58052 Liu, Bin 7 1999 Almost periodic solutions for an asymmetric oscillation. Zbl 1439.34043 Huang, Peng; Li, Xiong; Liu, Bin 7 2017 Quasi-periodic solutions of a forced asymmetric oscillator at resonance. Zbl 1044.34004 Capietto, Anna; Liu, Bin 7 2004 An application of KAM theorem of reversible systems. Zbl 0742.34032 Liu, Bin 6 1991 The second order estimate for the solution to a singular elliptic boundary value problem. Zbl 1289.35078 Mi, Ling; Liu, Bin 6 2012 Invariant curves of almost periodic twist mappings. Zbl 1506.37059 Huang, Peng; Li, Xiong; Liu, Bin 6 2022 The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems. Zbl 1202.34097 Liu, Bin 6 2010 Quasi-periodic solutions of a semilinear Liénard equation at resonance. Zbl 1121.34322 Liu, Bin 4 2005 Quasiperiodic solutions of semilinear Liénard equations. Zbl 1084.34046 Liu, Bin 3 2005 Model predictive flocking control of the Cucker-Smale multi-agent model with input constraints. Zbl 1468.94292 Zhang, Hai-Tao; Liu, Bin; Cheng, Zhaomeng; Chen, Guanrong 3 2016 The existence of quasiperiodic solutions for coupled Duffing-type equations. Zbl 1256.34030 Jin, Huiping; Liu, Bin; Wang, Yiqian 2 2011 Blow-up rate of the unique solution for a class of one-dimensional \(p\)-Laplacian equations. Zbl 1266.34053 Mi, Ling; Qi, Yanfeng; Liu, Bin 2 2012 An existence theorem for harmonic solutions of semi-linear Duffing equations. Zbl 0728.34042 Liu, Bin 1 1991 Stability of a parabolic fixed point of reversible mappings. Zbl 0815.58012 Liu, Bin; You, Jiangong 1 1994 Quasiperiodic solutions for nonlinear differential equations of second order with symmetry. Zbl 0811.34023 Liu, Bin; You, Jiangong 1 1994 Oscillatory behavior for second order functional differential equation. Zbl 0828.34060 Liu, Bin 1 1995 The stability of harmonic solutions of Lotka-Volterra systems. Zbl 0844.34053 Liu, Bin 1 1995 Boundary behavior of large solutions to elliptic equations with nonlinear gradient terms. Zbl 1282.35173 Mi, Ling; Liu, Bin 1 2013 Interpolating meshless methods for 3D elastic problems. Zbl 07714942 Qian, Yi-Cheng; Yang, Yi-Ru; Liu, Bin; Kong, Ling-Hao; Li, D. M. 1 2023 Interpolating meshless methods for 3D elastic problems. Zbl 07714942 Qian, Yi-Cheng; Yang, Yi-Ru; Liu, Bin; Kong, Ling-Hao; Li, D. M. 1 2023 Invariant curves of almost periodic twist mappings. Zbl 1506.37059 Huang, Peng; Li, Xiong; Liu, Bin 6 2022 Completely degenerate lower-dimensional invariant tori for Hamiltonian system. Zbl 1415.37082 Hu, Shengqing; Liu, Bin 15 2019 Invariant curves of smooth quasi-periodic mappings. Zbl 1372.37088 Huang, Peng; Li, Xiong; Liu, Bin 11 2018 Degenerate lower dimensional invariant tori in reversible system. Zbl 1409.37062 Hu, Shengqing; Liu, Bin 10 2018 Almost periodic solutions for an asymmetric oscillation. Zbl 1439.34043 Huang, Peng; Li, Xiong; Liu, Bin 7 2017 Quasi-periodic solutions for an asymmetric oscillation. Zbl 1378.37078 Huang, Peng; Li, Xiong; Liu, Bin 14 2016 Model predictive flocking control of the Cucker-Smale multi-agent model with input constraints. Zbl 1468.94292 Zhang, Hai-Tao; Liu, Bin; Cheng, Zhaomeng; Chen, Guanrong 3 2016 Boundary behavior of large solutions to elliptic equations with nonlinear gradient terms. Zbl 1282.35173 Mi, Ling; Liu, Bin 1 2013 Second order expansion for blowup solutions of semilinear elliptic problems. Zbl 1253.35057 Mi, Ling; Liu, Bin 9 2012 The second order estimate for the solution to a singular elliptic boundary value problem. Zbl 1289.35078 Mi, Ling; Liu, Bin 6 2012 Blow-up rate of the unique solution for a class of one-dimensional \(p\)-Laplacian equations. Zbl 1266.34053 Mi, Ling; Qi, Yanfeng; Liu, Bin 2 2012 The existence of quasiperiodic solutions for coupled Duffing-type equations. Zbl 1256.34030 Jin, Huiping; Liu, Bin; Wang, Yiqian 2 2011 The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems. Zbl 1202.34097 Liu, Bin 6 2010 Quasi-periodic solutions of forced isochronous oscillators at resonance. Zbl 1170.34030 Liu, Bin 19 2009 On the boundedness of solutions to a nonlinear singular oscillator. Zbl 1189.34070 Capietto, Anna; Dambrosio, Walter; Liu, Bin 15 2009 The stability of the equilibrium of planar Hamiltonian and reversible systems. Zbl 1103.37037 Liu, Bin 10 2006 Invariant curves of quasi-periodic reversible mappings. Zbl 1067.37080 Liu, Bin 25 2005 Quasi-periodic solutions of a semilinear Liénard equation at resonance. Zbl 1121.34322 Liu, Bin 4 2005 Quasiperiodic solutions of semilinear Liénard equations. Zbl 1084.34046 Liu, Bin 3 2005 Invariant curves of reversible mappings with small twist. Zbl 1057.37054 Liu, Bin; Song, Jiajia 14 2004 Boundedness of solutions for equations with \(p\)-Laplacian and an asymmetric nonlinear term. Zbl 1069.34052 Liu, Bin 11 2004 Quasi-periodic solutions of a forced asymmetric oscillator at resonance. Zbl 1044.34004 Capietto, Anna; Liu, Bin 7 2004 On lower dimensional invariant tori in reversible systems. Zbl 1070.37045 Liu, Bin 33 2001 On Littlewood’s boundedness problem for sublinear Duffing equations. Zbl 0974.34031 Liu, Bin 21 2001 Boundedness and unboundedness of solutions for reversible oscillators at resonance. Zbl 0998.34029 Kunze, Markus; Küpper, Tassilo; Liu, Bin 20 2001 Boundedness in nonlinear oscillations at resonance. Zbl 0926.34028 Liu, Bin 45 1999 Boundedness in asymmetric oscillations. Zbl 0926.34026 Liu, Bin 43 1999 Invariant tori in nonlinear oscillations. Zbl 0962.34027 Liu, Bin; Wang, Yiqian 9 1999 The stability of the equilibrium of reversible systems. Zbl 0924.58052 Liu, Bin 7 1999 Boundedness of solutions for semilinear Duffing equations. Zbl 0913.34032 Liu, Bin 29 1998 Quasiperiodic solutions of Duffing’s equations. Zbl 0947.34029 Liu, Bin; You, Jiangong 13 1998 Multiplicity results for periodic solutions of a second order quasilinear ODE with asymmetric nonlinearities. Zbl 0934.34035 Liu, Bin 12 1998 Boundedness of solutions of nonlinear differential equations. Zbl 0909.34035 Liu, Bin; Zanolin, Fabio 11 1998 The stability of the equilibrium of a conservative system. Zbl 0873.34042 Liu, Bin 18 1996 Oscillatory behavior for second order functional differential equation. Zbl 0828.34060 Liu, Bin 1 1995 The stability of harmonic solutions of Lotka-Volterra systems. Zbl 0844.34053 Liu, Bin 1 1995 Stability of a parabolic fixed point of reversible mappings. Zbl 0815.58012 Liu, Bin; You, Jiangong 1 1994 Quasiperiodic solutions for nonlinear differential equations of second order with symmetry. Zbl 0811.34023 Liu, Bin; You, Jiangong 1 1994 Boundedness for solutions of nonlinear periodic differential equations via Moser’s twist theorem. Zbl 0756.34050 Liu, Bin 24 1992 An application of KAM theorem of reversible systems. Zbl 0742.34032 Liu, Bin 6 1991 An existence theorem for harmonic solutions of semi-linear Duffing equations. Zbl 0728.34042 Liu, Bin 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 200 Authors 25 Xu, Junxiang 21 Liu, Bin 19 Li, Xiong 17 Zhang, Dongfeng 14 Wang, Yiqian 14 Yang, Xiaojing 11 Yuan, Xiaoping 10 Piao, Daxiong 10 Wang, Xiaocai 9 Si, Wen 8 Mi, Ling 7 Jiang, Shunjun 7 Ortega, Rafael 6 Huang, Peng 6 Wang, Zaihong 6 Wang, Zhiguo 5 Liu, Qihuai 5 Peng, Yaqun 5 Qian, Dingbian 5 Sevryuk, Mikhail Borisovich 5 Si, Jianguo 5 Yang, Xiaomei 5 You, Jiangong 5 Zhang, Xinli 4 Ma, Zhichao 4 Wan, Haitao 4 Wang, Xiaoming 4 Yi, Yingfei 4 Zanolin, Fabio 4 Zhang, Meirong 3 Chu, Jifeng 3 Dambrosio, Walter 3 Guan, Xinyu 3 Jiang, Meiyue 3 Li, Yong 3 Ma, Shiwang 3 Morozov, Al’bert Dmitrievich 3 Morozov, Kirill Evgen’evich 3 Nuñez, Daniel E. 3 Qu, Ru 3 Wang, Lixia 3 Wu, Hao 2 Boscaggin, Alberto 2 Cao, Xiaofei 2 Chen, Lu 2 Cheng, Rong 2 Cheung, Wingsum 2 Fabry, Christian 2 Fonda, Alessandro 2 Ge, Weigao 2 Hu, Shengqing 2 Jiang, Fangfang 2 Jiao, Lei 2 Jing, Tianqi 2 Kong, Yuedong 2 Le Treust, Loïc 2 Li, Jia 2 Li, Jing 2 Li, Min 2 Li, Yongkun 2 Liu, Wenbin 2 Lo, Kueiming 2 Mi, Lufang 2 Niu, Yanmin 2 Ren, Jingli 2 Ren, Xiufang 2 Rojas, David 2 Schließauf, Henrik 2 Shen, Jianhua 2 Shi, Yanling 2 Torres, Pedro José 2 Wang, Chao 2 Wang, Xinping 2 Wang, Youyu 2 Xing, Xiumei 2 Xue, Nina 2 Zhang, Fubao 2 Zhang, Jing 2 Zhuang, Yan 1 Arrizabalaga, Naiara 1 Bai, Chuanzhi 1 Bonheure, Denis 1 Capietto, Anna 1 Chen, Guanwei 1 Chen, Hebai 1 Chen, Shunqing 1 Cheng, Chunrui 1 Cui, Wenyan 1 Ding, Yan 1 Du, Bo 1 Fang, Fang 1 Feltrin, Guglielmo 1 Fu, Zhengqi 1 Fu, Zunwei 1 Geng, Jiansheng 1 Giardino, Sergio 1 Guo, Ying 1 Han, Yuecai 1 Hanßmann, Heinz 1 Haus, Emanuele ...and 100 more Authors all top 5 Cited in 69 Serials 39 Journal of Differential Equations 24 Journal of Mathematical Analysis and Applications 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Discrete and Continuous Dynamical Systems 10 Applied Mathematics and Computation 10 Abstract and Applied Analysis 10 Acta Mathematica Sinica. English Series 9 Journal of Dynamics and Differential Equations 8 Qualitative Theory of Dynamical Systems 7 Boundary Value Problems 6 Proceedings of the American Mathematical Society 6 Science in China. Series A 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Communications on Pure and Applied Analysis 5 Advances in Difference Equations 4 Nonlinearity 4 Chinese Annals of Mathematics. Series B 4 Regular and Chaotic Dynamics 4 Science China. Mathematics 3 Journal of Mathematical Physics 3 Acta Applicandae Mathematicae 3 Journal of Function Spaces 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Ergodic Theory and Dynamical Systems 2 Mathematical and Computer Modelling 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Indagationes Mathematicae. New Series 2 Journal of Nonlinear Science 2 NoDEA. Nonlinear Differential Equations and Applications 2 Taiwanese Journal of Mathematics 2 Annales Henri Poincaré 2 Differential Equations 2 Frontiers of Mathematics in China 2 Acta Mathematica Sinica. Chinese Series 2 Russian Journal of Nonlinear Dynamics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematics Letters 1 Journal of the Ramanujan Mathematical Society 1 Acta Mathematica Sinica. New Series 1 Calculus of Variations and Partial Differential Equations 1 Complexity 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advanced Nonlinear Studies 1 Fixed Point Theory and Applications 1 Foundations of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Biological Dynamics 1 Open Mathematics 1 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva all top 5 Cited in 22 Fields 178 Ordinary differential equations (34-XX) 135 Dynamical systems and ergodic theory (37-XX) 61 Mechanics of particles and systems (70-XX) 21 Partial differential equations (35-XX) 17 Operator theory (47-XX) 5 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year