Edit Profile (opens in new tab) Yuan, Xiaoping Co-Author Distance Author ID: yuan.xiaoping Published as: Yuan, Xiaoping; Yuan, Xiao Ping External Links: ORCID · ResearchGate · IdRef Documents Indexed: 78 Publications since 1987, including 1 Book and 9 Additional arXiv Preprints Reviewing Activity: 16 Reviews Co-Authors: 28 Co-Authors with 46 Joint Publications 590 Co-Co-Authors all top 5 Co-Authors 22 single-authored 8 Shi, Jia 7 Liu, Jianjun 6 Cong, Hongzi 4 He, Xiaolong 4 Liu, Wencai 4 Shi, Yunfeng 4 Wu, Yuan 3 Caraballo, Edgar J. 3 Debiasi, Marco 3 Serrani, Andrea 3 Zhang, Jing 2 Chen, Lu 2 Chung, Kwok-Wai 2 Fraser, Donald A. S. 2 Jian, Wenwen 2 Li, Jing 2 McDunnough, Philip 2 Myatt, James H. 2 Reid, Nancy 1 Cao, Chengming 1 Chen, Shunqing 1 Chen, Yiliang 1 Dong, Yiwei 1 Du, Lijun 1 Gao, Meina 1 Li, Hepeng 1 Li, Xuemei 1 Liu, Jinglin 1 Lui, Wencai 1 Mi, Lufang 1 1 Özbay, Hitay 1 Qi, Jiangang 1 Sun, Yingte 1 Tian, Xueting 1 Wu, Tongqiang 1 Xue, Huining 1 Yang, Cheng 1 Yuan, Rong 1 Zhang, Kangkang 1 Zhu, Zuojin all top 5 Serials 9 Journal of Differential Equations 6 Journal of Mathematical Physics 4 Communications in Mathematical Physics 4 Discrete and Continuous Dynamical Systems 3 Nonlinearity 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Inner Mongolia University 3 Science China. Mathematics 2 Communications on Pure and Applied Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Chinese Annals of Mathematics. Series B 2 Advances in Mathematics (Beijing) 2 Journal of Dynamics and Differential Equations 2 Acta Mathematica Sinica. English Series 2 Journal of Spectral Theory 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Acta Mathematica Sinica 1 Journal of Functional Analysis 1 Journal of Statistical Planning and Inference 1 Memoirs of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Journal of China University of Science and Technology 1 Science in China. Series A 1 SIAM Journal on Mathematical Analysis 1 International Journal of Mathematical and Statistical Sciences 1 Dynamics of Partial Differential Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Applied and Computational Mathematics 1 Journal of Applied Analysis and Computation 1 Journal of Fractal Geometry all top 5 Fields 38 Dynamical systems and ergodic theory (37-XX) 29 Partial differential equations (35-XX) 22 Ordinary differential equations (34-XX) 10 Operator theory (47-XX) 7 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 3 Fluid mechanics (76-XX) 2 Statistics (62-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 56 Publications have been cited 701 times in 362 Documents Cited by ▼ Year ▼ A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations. Zbl 1247.37082 Liu, Jianjun; Yuan, Xiaoping 103 2011 Spectrum for quantum Duffing oscillator and small-divisor equation with large-variable coefficient. Zbl 1204.35140 Liu, Jianjun; Yuan, Xiaoping 76 2010 Quasi-periodic solutions of completely resonant nonlinear wave equations. Zbl 1146.35307 Yuan, Xiaoping 70 2006 KAM tori for reversible partial differential equations. Zbl 1216.37025 Zhang, Jing; Gao, Meina; Yuan, Xiaoping 60 2011 KAM for the derivative nonlinear Schrödinger equation with periodic boundary conditions. Zbl 1285.35111 Liu, Jianjun; Yuan, Xiaoping 32 2014 Feedback control of subsonic cavity flows using reduced-order models. Zbl 1113.76008 Samimy, M.; Debiasi, M.; Caraballo, E.; Serrani, A.; Yuan, X.; Little, J.; Myatt, J. H. 28 2007 Invariant tori of Duffing-type equations. Zbl 0911.34042 Yuan, Xiaoping 27 1998 Construction of quasi-periodic breathers via KAM technique. Zbl 1006.37043 Yuan, Xiaoping 22 2002 Quasi-periodic solutions of nonlinear Schrödinger equations of higher dimension. Zbl 1084.35097 Yuan, Xiaoping 20 2003 Long time stability of Hamiltonian partial differential equations. Zbl 1405.37085 Yuan, Xiaoping; Zhang, Jing 17 2014 Quasi-periodic solutions of nonlinear wave equations with a prescribed potential. Zbl 1124.35044 Yuan, Xiaoping 16 2006 Quasi-periodic solutions for perturbed autonomous delay differential equations. Zbl 1244.34093 Li, Xuemei; Yuan, Xiaoping 16 2012 Periodic and quasi-periodic solutions for the complex Ginzburg-Landau equation. Zbl 1146.35075 Chung, K. W.; Yuan, Xiaoping 15 2008 The stability of full dimensional KAM tori for nonlinear Schrödinger equation. Zbl 1382.37079 Cong, Hongzi; Liu, Jianjun; Shi, Yunfeng; Yuan, Xiaoping 15 2018 A KAM theorem with applications to partial differential equations of higher dimensions. Zbl 1132.70009 Yuan, Xiaoping 14 2007 A reduction theorem for time dependent Schrödinger operator with finite differentiable unbounded perturbation. Zbl 1282.81086 Yuan, Xiaoping; Zhang, Kangkang 14 2013 Ergodic properties of systems with asymptotic average shadowing property. Zbl 1353.37016 Dong, Yiwei; Tian, Xueting; Yuan, Xiaoping 12 2015 Lagrange stability for Duffing-type equations. Zbl 0945.34040 Yuan, Xiaoping 10 2000 Stability of KAM tori for nonlinear Schrödinger equation. Zbl 1343.37074 Cong, Hongzi; Liu, Jianjun; Yuan, Xiaoping 10 2016 Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation. Zbl 1017.37040 Yuan, Xiaoping 9 2003 A note on the reducibility of linear differential equations with quasiperiodic coefficients. Zbl 1048.34081 Yuan, Xiaoping; Nunes, Ana 9 2003 Invariant tori of Duffing-type equations. Zbl 0834.34052 Yuan, Xiaoping 9 1995 Boundedness of solutions for Duffing-type equation. Zbl 0933.34026 Yuan, Xiaoping 8 1998 Likelihood centered asymptotic model exponential and location model versions. Zbl 0953.62017 Cakmak, S.; Fraser, D. A. S.; McDunnough, P.; Reid, N.; Yuan, X. 7 1998 Spectral gaps of almost Mathieu operators in the exponential regime. Zbl 1410.47003 Liu, Wencai; Yuan, Xiaoping 7 2015 Quasiperiodic solutions for the cubic complex Ginzburg-Landau equation. Zbl 1216.37024 Cong, Hongzi; Liu, Jianjun; Yuan, Xiaoping 7 2009 Positive quasi-periodic solutions to Lotka-Volterra system. Zbl 1204.37084 Cong, Hongzi; Mi, Lufang; Yuan, Xiaoping 7 2010 Invariant tori of nonlinear Schrödinger equations with a given potential. Zbl 1144.37032 Du, Lijun; Yuan, Xiaoping 6 2006 Lagrange stability for asymmetric Duffing equations. Zbl 0970.37045 Yuan, Xiaoping 5 2001 Existence and stability of quasi-periodic breathers in networks of Ginzburg–Landau oscillators. Zbl 1179.37102 Chung, K. W.; Yuan, Xiaoping 5 2007 Exponential decay of the lengths of the spectral gaps for the extended Harper’s model with a Liouvillean frequency. Zbl 1433.37020 Shi, Yunfeng; Yuan, Xiaoping 5 2019 Boundedness of solutions for Duffing equation with low regularity in time. Zbl 1394.34063 Yuan, Xiaoping 5 2017 Averaging principle for the KdV equation with a small initial value. Zbl 1417.37258 Yuan, Xiaoping; Zhang, Jing 5 2016 Anderson localization for the almost Mathieu operator in the exponential regime. Zbl 1319.47029 Lui, Wencai; Yuan, Xiaoping 5 2015 Hölder continuity of the spectral measures for one-dimensional Schrödinger operator in exponential regime. Zbl 1327.34143 Liu, Wencai; Yuan, Xiaoping 5 2015 KAM theorem with normal frequencies of finite limit-points for some shallow water equations. Zbl 1475.37082 Yuan, Xiaoping 5 2021 Lagrange stability for impulsive Duffing equations. Zbl 1416.34023 Shen, Jianhua; Chen, Lu; Yuan, Xiaoping 4 2019 A KAM theorem for reversible systems of infinite dimension. Zbl 1129.37043 Chen, Shun Qing; Yuan, Xiao Ping 4 2007 The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation. Zbl 1466.35314 Cong, Hongzi; Yuan, Xiaoping 4 2021 Quasi-periodic solutions for perturbed generalized nonlinear vibrating string equation with singularities. Zbl 1364.37151 Cao, Chengming; Yuan, Xiaoping 4 2017 Anderson localization for the completely resonant phases. Zbl 1333.47025 Liu, Wencai; Yuan, Xiaoping 4 2015 Anderson localization for one-frequency quasi-periodic block operators with long-range interactions. Zbl 1418.82004 Jian, Wenwen; Shi, Yunfeng; Yuan, Xiaoping 4 2019 Boundedness of solutions for a class of nonlinear differential equations of second order via Moser’s twist theorem. Zbl 1002.34024 Yuan, Rong; Yuan, Xiaoping 3 2001 Quasiperiodic motions for asymmetric oscillators. Zbl 1197.34066 Yuan, Xiao Ping 3 2001 Construction of quasi-periodic solutions for delayed perturbation differential equations. Zbl 1442.34113 He, Xiaolong; Yuan, Xiaoping 3 2020 KAM theorem for reversible mapping of low smoothness with application. Zbl 1525.37067 Li, Jing; Qi, Jiangang; Yuan, Xiaoping 3 2023 KAM theorems and open problems for infinite-dimensional Hamiltonian with short range. Zbl 1302.37046 Yuan, Xiaoping 3 2014 Quasi-periodic solutions for complex Ginzburg-Landau equation of nonlinearity \(|u|^{2p}u\). Zbl 1211.37089 Cong, Hongzi; Liu, Jianjun; Yuan, Xiaoping 3 2010 Feedback control design for subsonic cavity flows. Zbl 1423.76190 Yuan, X.; Caraballo, E.; Little, J.; Debiasi, M.; Serrani, A.; Özbay, H.; Myatt, J. H.; Samimy, M. 3 2009 Quasi-periodic solution of quasi-linear fifth-order KdV equation. Zbl 1524.37071 Sun, Yingte; Yuan, Xiaoping 2 2018 Quasi-periodic solution for the complex Ginzburg-Landau equation with continuous spectrum. Zbl 1408.35179 Li, Hepeng; Yuan, Xiaoping 2 2018 A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications (in memory of Professor Walter Craig). Zbl 1477.37083 Wu, Yuan; Yuan, Xiaoping 2 2021 The KAM theorem with a large perturbation and application to the network of Duffing oscillators. Zbl 1514.37083 Yuan, Xiaoping; Chen, Lu; Li, Jing 1 2023 Anderson localization for Jacobi matrices associated with high-dimensional skew shifts. Zbl 1446.39021 Shi, Jia; Yuan, Xiaoping 1 2020 On the Kolmogorov theorem for some infinite-dimensional Hamiltonian systems of short range. Zbl 1453.37071 Wu, Yuan; Yuan, Xiaoping 1 2021 On the existence of full dimensional KAM torus for fractional nonlinear Schrödinger equation. Zbl 1455.37061 Wu, Yuan; Yuan, Xiaoping 1 2020 KAM theorem for reversible mapping of low smoothness with application. Zbl 1525.37067 Li, Jing; Qi, Jiangang; Yuan, Xiaoping 3 2023 The KAM theorem with a large perturbation and application to the network of Duffing oscillators. Zbl 1514.37083 Yuan, Xiaoping; Chen, Lu; Li, Jing 1 2023 KAM theorem with normal frequencies of finite limit-points for some shallow water equations. Zbl 1475.37082 Yuan, Xiaoping 5 2021 The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation. Zbl 1466.35314 Cong, Hongzi; Yuan, Xiaoping 4 2021 A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications (in memory of Professor Walter Craig). Zbl 1477.37083 Wu, Yuan; Yuan, Xiaoping 2 2021 On the Kolmogorov theorem for some infinite-dimensional Hamiltonian systems of short range. Zbl 1453.37071 Wu, Yuan; Yuan, Xiaoping 1 2021 Construction of quasi-periodic solutions for delayed perturbation differential equations. Zbl 1442.34113 He, Xiaolong; Yuan, Xiaoping 3 2020 Anderson localization for Jacobi matrices associated with high-dimensional skew shifts. Zbl 1446.39021 Shi, Jia; Yuan, Xiaoping 1 2020 On the existence of full dimensional KAM torus for fractional nonlinear Schrödinger equation. Zbl 1455.37061 Wu, Yuan; Yuan, Xiaoping 1 2020 Exponential decay of the lengths of the spectral gaps for the extended Harper’s model with a Liouvillean frequency. Zbl 1433.37020 Shi, Yunfeng; Yuan, Xiaoping 5 2019 Lagrange stability for impulsive Duffing equations. Zbl 1416.34023 Shen, Jianhua; Chen, Lu; Yuan, Xiaoping 4 2019 Anderson localization for one-frequency quasi-periodic block operators with long-range interactions. Zbl 1418.82004 Jian, Wenwen; Shi, Yunfeng; Yuan, Xiaoping 4 2019 The stability of full dimensional KAM tori for nonlinear Schrödinger equation. Zbl 1382.37079 Cong, Hongzi; Liu, Jianjun; Shi, Yunfeng; Yuan, Xiaoping 15 2018 Quasi-periodic solution of quasi-linear fifth-order KdV equation. Zbl 1524.37071 Sun, Yingte; Yuan, Xiaoping 2 2018 Quasi-periodic solution for the complex Ginzburg-Landau equation with continuous spectrum. Zbl 1408.35179 Li, Hepeng; Yuan, Xiaoping 2 2018 Boundedness of solutions for Duffing equation with low regularity in time. Zbl 1394.34063 Yuan, Xiaoping 5 2017 Quasi-periodic solutions for perturbed generalized nonlinear vibrating string equation with singularities. Zbl 1364.37151 Cao, Chengming; Yuan, Xiaoping 4 2017 Stability of KAM tori for nonlinear Schrödinger equation. Zbl 1343.37074 Cong, Hongzi; Liu, Jianjun; Yuan, Xiaoping 10 2016 Averaging principle for the KdV equation with a small initial value. Zbl 1417.37258 Yuan, Xiaoping; Zhang, Jing 5 2016 Ergodic properties of systems with asymptotic average shadowing property. Zbl 1353.37016 Dong, Yiwei; Tian, Xueting; Yuan, Xiaoping 12 2015 Spectral gaps of almost Mathieu operators in the exponential regime. Zbl 1410.47003 Liu, Wencai; Yuan, Xiaoping 7 2015 Anderson localization for the almost Mathieu operator in the exponential regime. Zbl 1319.47029 Lui, Wencai; Yuan, Xiaoping 5 2015 Hölder continuity of the spectral measures for one-dimensional Schrödinger operator in exponential regime. Zbl 1327.34143 Liu, Wencai; Yuan, Xiaoping 5 2015 Anderson localization for the completely resonant phases. Zbl 1333.47025 Liu, Wencai; Yuan, Xiaoping 4 2015 KAM for the derivative nonlinear Schrödinger equation with periodic boundary conditions. Zbl 1285.35111 Liu, Jianjun; Yuan, Xiaoping 32 2014 Long time stability of Hamiltonian partial differential equations. Zbl 1405.37085 Yuan, Xiaoping; Zhang, Jing 17 2014 KAM theorems and open problems for infinite-dimensional Hamiltonian with short range. Zbl 1302.37046 Yuan, Xiaoping 3 2014 A reduction theorem for time dependent Schrödinger operator with finite differentiable unbounded perturbation. Zbl 1282.81086 Yuan, Xiaoping; Zhang, Kangkang 14 2013 Quasi-periodic solutions for perturbed autonomous delay differential equations. Zbl 1244.34093 Li, Xuemei; Yuan, Xiaoping 16 2012 A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations. Zbl 1247.37082 Liu, Jianjun; Yuan, Xiaoping 103 2011 KAM tori for reversible partial differential equations. Zbl 1216.37025 Zhang, Jing; Gao, Meina; Yuan, Xiaoping 60 2011 Spectrum for quantum Duffing oscillator and small-divisor equation with large-variable coefficient. Zbl 1204.35140 Liu, Jianjun; Yuan, Xiaoping 76 2010 Positive quasi-periodic solutions to Lotka-Volterra system. Zbl 1204.37084 Cong, Hongzi; Mi, Lufang; Yuan, Xiaoping 7 2010 Quasi-periodic solutions for complex Ginzburg-Landau equation of nonlinearity \(|u|^{2p}u\). Zbl 1211.37089 Cong, Hongzi; Liu, Jianjun; Yuan, Xiaoping 3 2010 Quasiperiodic solutions for the cubic complex Ginzburg-Landau equation. Zbl 1216.37024 Cong, Hongzi; Liu, Jianjun; Yuan, Xiaoping 7 2009 Feedback control design for subsonic cavity flows. Zbl 1423.76190 Yuan, X.; Caraballo, E.; Little, J.; Debiasi, M.; Serrani, A.; Özbay, H.; Myatt, J. H.; Samimy, M. 3 2009 Periodic and quasi-periodic solutions for the complex Ginzburg-Landau equation. Zbl 1146.35075 Chung, K. W.; Yuan, Xiaoping 15 2008 Feedback control of subsonic cavity flows using reduced-order models. Zbl 1113.76008 Samimy, M.; Debiasi, M.; Caraballo, E.; Serrani, A.; Yuan, X.; Little, J.; Myatt, J. H. 28 2007 A KAM theorem with applications to partial differential equations of higher dimensions. Zbl 1132.70009 Yuan, Xiaoping 14 2007 Existence and stability of quasi-periodic breathers in networks of Ginzburg–Landau oscillators. Zbl 1179.37102 Chung, K. W.; Yuan, Xiaoping 5 2007 A KAM theorem for reversible systems of infinite dimension. Zbl 1129.37043 Chen, Shun Qing; Yuan, Xiao Ping 4 2007 Quasi-periodic solutions of completely resonant nonlinear wave equations. Zbl 1146.35307 Yuan, Xiaoping 70 2006 Quasi-periodic solutions of nonlinear wave equations with a prescribed potential. Zbl 1124.35044 Yuan, Xiaoping 16 2006 Invariant tori of nonlinear Schrödinger equations with a given potential. Zbl 1144.37032 Du, Lijun; Yuan, Xiaoping 6 2006 Quasi-periodic solutions of nonlinear Schrödinger equations of higher dimension. Zbl 1084.35097 Yuan, Xiaoping 20 2003 Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation. Zbl 1017.37040 Yuan, Xiaoping 9 2003 A note on the reducibility of linear differential equations with quasiperiodic coefficients. Zbl 1048.34081 Yuan, Xiaoping; Nunes, Ana 9 2003 Construction of quasi-periodic breathers via KAM technique. Zbl 1006.37043 Yuan, Xiaoping 22 2002 Lagrange stability for asymmetric Duffing equations. Zbl 0970.37045 Yuan, Xiaoping 5 2001 Boundedness of solutions for a class of nonlinear differential equations of second order via Moser’s twist theorem. Zbl 1002.34024 Yuan, Rong; Yuan, Xiaoping 3 2001 Quasiperiodic motions for asymmetric oscillators. Zbl 1197.34066 Yuan, Xiao Ping 3 2001 Lagrange stability for Duffing-type equations. Zbl 0945.34040 Yuan, Xiaoping 10 2000 Invariant tori of Duffing-type equations. Zbl 0911.34042 Yuan, Xiaoping 27 1998 Boundedness of solutions for Duffing-type equation. Zbl 0933.34026 Yuan, Xiaoping 8 1998 Likelihood centered asymptotic model exponential and location model versions. Zbl 0953.62017 Cakmak, S.; Fraser, D. A. S.; McDunnough, P.; Reid, N.; Yuan, X. 7 1998 Invariant tori of Duffing-type equations. Zbl 0834.34052 Yuan, Xiaoping 9 1995 all cited Publications top 5 cited Publications all top 5 Cited by 253 Authors 32 Yuan, Xiaoping 26 Geng, Jiansheng 18 Montalto, Riccardo 16 Mi, Lufang 15 Berti, Massimiliano 15 Procesi, Michela 15 Si, Jianguo 14 Cong, Hongzi 14 Xu, Junxiang 14 Xu, XinDong 11 Gao, Meina 11 Shi, Yanling 10 Liu, Jianjun 10 Rui, Jie 9 Feola, Roberto 9 Liang, Zhenguo 9 Lou, Zhaowei 9 Wang, Yi 9 Zhang, Min 8 Baldi, Pietro 8 Li, Jing 8 Sun, Yingte 8 Wang, Yiqian 7 Li, Xiong 7 Li, Xuemei 7 Shi, Guanghua 7 Shi, Yunfeng 7 Yan, Dongfeng 7 You, Jiangong 6 Bambusi, Dario 6 Cheng, Hongyu 6 Ge, Chuanfang 6 Liu, Qihuai 6 Wang, Zhiguo 5 Biasco, Luca 5 Grébert, Benoît 5 He, Xiaolong 5 Ji, Shuguan 5 Liu, Jie 5 Liu, Wencai 5 Yi, Yingfei 4 Cui, Wenyan 4 de la Llave, Rafael 4 Gao, Yixian 4 Li, Yong 4 Massetti, Jessica Elisa 4 Ren, Xiufang 4 Wang, Shimin 4 Xue, Shuaishuai 4 Zhang, Kangkang 4 Zhao, Xin 3 Bernier, Joackim 3 Corsi, Livia 3 Giuliani, Filippo 3 Jian, Wenwen 3 Liu, Bin 3 Liu, Bingchen 3 Liu, Shujuan 3 Maspero, Alberto 3 Piao, Daxiong 3 Si, Wen 3 Sun, Yingnan 3 Wang, Peizhen 3 Wu, Jian 3 Wu, Xiaoqing 3 Wu, Yuan 3 Zhang, Dongfeng 3 Zhou, Shidi 2 Chen, Bochao 2 Chen, Lu 2 Chung, Kwok-Wai 2 Fu, Ying 2 Gentile, Guido 2 Grigoryan, Gevorg Avagovich 2 Haus, Emanuele 2 Huang, Peng 2 Iandoli, Felice 2 Jitomirskaya, Svetlana Yakovlevna 2 Kappeler, Thomas 2 Kosovalić, Nemanja 2 Łącka, Martha 2 Li, Hepeng 2 Li, Yan 2 Liu, Chungen 2 Liu, Chunyong 2 Lu, Lin 2 Luo, Zhiguo 2 Pacifico, Maria José 2 Peng, Yaqun 2 Qian, Dingbian 2 Qu, Changzheng 2 Sanhueza, Diego 2 Shi, Jia 2 Torres, Pedro José 2 Wang, Qi 2 Wang, Zhiqiang 2 Wu, Hao 2 Wu, Xiaoping 2 Xia, Xu 2 Xie, Jingli ...and 153 more Authors all top 5 Cited in 88 Serials 50 Journal of Differential Equations 33 Journal of Mathematical Physics 31 Journal of Dynamics and Differential Equations 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Communications in Mathematical Physics 14 Discrete and Continuous Dynamical Systems 13 Journal of Mathematical Analysis and Applications 11 Qualitative Theory of Dynamical Systems 8 Nonlinearity 8 Journal of Functional Analysis 8 Communications on Pure and Applied Analysis 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Applicable Analysis 6 Chinese Annals of Mathematics. Series B 6 Boundary Value Problems 5 Archive for Rational Mechanics and Analysis 5 Taiwanese Journal of Mathematics 4 Applied Mathematics and Computation 4 Monatshefte für Mathematik 4 Proceedings of the American Mathematical Society 4 Physica D 4 Science in China. Series A 4 Journal of Nonlinear Science 4 Acta Mathematica Sinica. English Series 4 Science China. Mathematics 3 Advances in Difference Equations 3 Frontiers of Mathematics in China 2 Journal of Statistical Physics 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Calculus of Variations and Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Abstract and Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Annales Henri Poincaré 2 Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIAM Journal on Applied Dynamical Systems 2 Analysis & PDE 2 Journal of Applied Analysis and Computation 2 Bollettino dell’Unione Matematica Italiana 1 Journal d’Analyse Mathématique 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 1 Mathematische Annalen 1 Zeitschrift für Analysis und ihre Anwendungen 1 Numerical Methods for Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Selecta Mathematica. New Series 1 Complexity 1 Mathematical Problems in Engineering 1 Mathematical Physics, Analysis and Geometry 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 Journal of Control Theory and Applications 1 Oberwolfach Reports 1 Journal of Fixed Point Theory and Applications 1 Chinese Journal of Physics (Taipei) 1 Journal of Nonlinear Science and Applications 1 Advances in Mathematical Physics 1 Sankhyā. Series A 1 Journal of Function Spaces 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications 1 AIMS Mathematics 1 Peking Mathematical Journal 1 Frontiers of Mathematics all top 5 Cited in 33 Fields 251 Dynamical systems and ergodic theory (37-XX) 222 Partial differential equations (35-XX) 80 Ordinary differential equations (34-XX) 47 Mechanics of particles and systems (70-XX) 33 Quantum theory (81-XX) 20 Operator theory (47-XX) 13 Mechanics of deformable solids (74-XX) 13 Fluid mechanics (76-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Global analysis, analysis on manifolds (58-XX) 3 Difference and functional equations (39-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year