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A Branch Point on Differentiation Trajectory is the Bifurcating Event Revealed by Dynamical Network Biomarker Analysis of Single-Cell Data 期刊论文
IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, 2020, 卷号: 17, 期号: 2, 页码: 366-375
Authors:  Chen, Ziwei;  Bai, Xiangqi;  Ma, Liang;  Wang, Xiawei;  Liu, Xiuqin;  Liu, Yuting;  Chen, Luonan;  Wan, Lin
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Trajectory  Heuristic algorithms  Mice  Correlation  Reactive power  Pseudo temporal trajectory  branch point  DNB theory  reconstruction  single-cell data  bifurcation  dynamical system  
Identifying weak focus and center in a convection model 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 100, 页码: 7
Authors:  Guo, Laigang;  Yu, Pei;  Chen, Yufu
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Convection model  3-dimensional quadratic system  Normal form  Limit cycle  
Game-theoretical explorations of the mesoscale flow structure and regime transitions in bubble columns 期刊论文
PARTICUOLOGY, 2020, 卷号: 48, 页码: 100-108
Authors:  Yuan, Shuo;  Mu, Yifen;  Guan, Xiaoping;  Liu, Zhixin;  Chen, Jianhua;  Yang, Ning;  Zhang, Lin
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Bubble column  Mesoscale  Regime transition  Game theory  Generalized Nash equilibrium  EMMS model  
Asymptotics for 2D critical and near-critical first-passage percolation 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2019, 卷号: 175, 期号: 3-4, 页码: 975-1019
Authors:  Yao, Chang-Long
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Percolation  First passage percolation  Correlation length  Scaling limit  Conformal loop ensemble  
The Fucik spectrum of Schrodinger operator and the existence of four solutions of Schrodinger equations with jumping nonlinearities 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 10, 页码: 7000-7097
Authors:  Li, Chong;  Li, Shujie
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Schrodinger equation  Minimax principle  Morse theory  Maximum principle  Exact homology sequences  
ON THE NONVANISHING HYPOTHESIS FOR RANKIN-SELBERG CONVOLUTIONS FOR GL(n)(C) x GL(n)(C) 期刊论文
REPRESENTATION THEORY, 2017, 卷号: 21, 页码: 151-171
Authors:  Dong, Chao-Ping;  Xue, Huajian
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REMARKS ON THE CLARK THEOREM 期刊论文
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 卷号: 18, 期号: 8, 页码: 1421-1434
Authors:  Jiang, Guosheng;  Tanaka, Kazunaga;  Zhang, Chengxiang
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Clark theorem  genus  minimax method  
Existence and bifurcation of solutions for a double coupled system of Schrodinger equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2015, 卷号: 58, 期号: 8, 页码: 1607-1620
Authors:  Tian RuShun;  Zhang ZhiTao
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bifurcation  system of Schrodinger equations  positive solution  synchronized solution branch  
existenceandbifurcationofsolutionsforadoublecoupledsystemofschrodingerequations 期刊论文
sciencechinamathematics, 2015, 卷号: 58, 期号: 8, 页码: 1607
Authors:  Tian Rushun;  Zhang Zhitao
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Sign-changing solutions for some nonlinear problems with strong resonance 期刊论文
Boundary Value Problems, 2011, 卷号: 2011, 期号: 1
Authors:  Qian,Aixia
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critical point theory  strong resonance  index theory  Cerami condition