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## Wan, Yieh-Hei

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 Author ID: wan.yieh-hei Published as: Wan, Y. H.; Wan, Y.-H.; Wan, Yieh Hei; Wan, Yieh-Hei Homepage: http://www.math.buffalo.edu/~pitman/appliedweb/wan.html External Links: MGP
 Documents Indexed: 40 Publications since 1975, including 2 Books
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#### Co-Authors

 28 single-authored 4 Marsden, Jerrold Eldon 3 Hassard, Brian D. 3 Kazarinoff, Nicholas D. 2 Chillingworth, D. R. J. 2 Hastings, Stuart P. 2 Lu, Chunqing 1 Liu, Ching Shi 1 Pulvirenti, Mario 1 van den Driessche, Pauline
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#### Serials

 7 Archive for Rational Mechanics and Analysis 4 Transactions of the American Mathematical Society 3 Journal of Mathematical Economics 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Topology 2 Physica D 2 SIAM Journal on Applied Mathematics 1 Journal of the Institute of Mathematics and its Applications 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Mathematical Programming 1 Mathematical Modelling 1 Dynamics and Stability of Systems 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 London Mathematical Society Lecture Note Series 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 9 Dynamical systems and ergodic theory (37-XX) 8 Fluid mechanics (76-XX) 7 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of deformable solids (74-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Operations research, mathematical programming (90-XX) 3 Manifolds and cell complexes (57-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 1,547 times in 1,460 Documents Cited by Year
Theory and applications of Hopf bifurcation. Zbl 0474.34002
Hassard, B. D.; Kazarinoff, N. D.; Wan, Y.-H.
1981
Bifurcation formulae derived from center manifold theory. Zbl 0435.34034
Hassard, B.; Wan, Y. H.
1978
Nonlinear stability of circular vortex patches. Zbl 0584.76062
Wan, Y. H.; Pulvirenti, M.
1985
Computation of the stability condition for the Hopf bifurcation of Diffeomorphisms on $$\mathbb{R}^2$$. Zbl 0389.58008
Wan, Yieh-Hei
1978
Hopf bifurcation and stability of periodic solutions of differential- difference and integro-differential equations. Zbl 0379.45021
Kazarinoff, N. D.; Wan, Y.-H.; van den Driessche, P.
1978
On local Pareto Optima. Zbl 0309.90049
Wan, Yieh-Hei
1975
Symmetry and bifurcation in three-dimensional elasticity. I. Zbl 0509.73018
Chillingworth, D. R. J.; Marsden, J. E.; Wan, Y. H.
1982
The stability of rotating vortex patches. Zbl 0624.76055
Wan, Yieh-Hei
1986
Symmetry and bifurcation in three-dimensional elasticity. II. Zbl 0536.73010
Chillingworth, D. R. J.; Marsden, J. E.; Wan, Y. H.
1983
Morse theory for two functions. Zbl 0305.58007
Wan, Y. H.
1975
Symmetry and bifurcation in three-dimensional elasticity. Zbl 0536.73011
Wan, Y. H.; Marsden, J. E.
1983
Theory and applications of Hopf bifurcation. Transl. from the English. Zbl 0662.34001
Hassard, B. D.; Kazarinoff, N. D.; Wan, Y.-H.
1985
Bifurcation into invariant tori at points of resonance. Zbl 0399.58005
Wan, Yieh-Hei
1978
On nonlinear stability of isotropic models in stellar dynamics. Zbl 0931.70012
Wan, Yieh-Hei
1999
Nonlinear stability of stationary spherically symmetric models in stellar dynamics. Zbl 0727.70015
Wan, Yieh-Hei
1990
Desingularizations of systems of point vortices. Zbl 0669.76040
Wan, Yieh-Hei
1988
Linearization stability and Signorini series for the traction problem in elastostatics. Zbl 0533.73022
Marsden, J. E.; Wan, Y. H.
1983
Generic deformations of varieties. Zbl 0452.58010
Wan, Yieh-Hei
1980
On the uniqueness of invariant manifolds. Zbl 0362.58010
Wan, Yieh-Hei
1977
A simple exact solution of the Prandtl boundary layer equations containing a point of separation. Zbl 0577.76036
Liu, Ching Shi; Wan, Yieh-Hei
1985
On the algebraic criteria for local Pareto optima. I. Zbl 0352.58003
Wan, Y. H.
1977
Variational principles for Hill’s spherical vortex and nearly spherical vortices. Zbl 0661.76017
Wan, Yieh-Hei
1988
On the average speed of Lemke’s algorithm for quadratic programming. Zbl 0613.90075
Wan, Yieh-Hei
1986
On the nonlinear stability of circular vortex patches. Zbl 0552.76027
Wan, Yieh-Hei
1984
Versal deformations of infinitesimally symplectic transformations with antisymplectic involutions. Zbl 0742.58023
Wan, Yieh-Hei
1991
The traction problem for incompressible materials. Zbl 0574.73013
Wan, Y. H.
1985
On the structure and stability of local Pareto optima in a pure exchange economy. Zbl 0393.90015
Wan, Yieh-Hei
1978
Bifurcation at Kirchhoff elliptic vortex with eccentricity $$2\sqrt 2/3$$. Zbl 0935.76014
Wan, Yieh-Hei
1998
Codimension two bifurcations of symmetric cycles in Hamiltonian systems with an antisymplectic involution. Zbl 0761.34029
Wan, Yieh-Hei
1992
Accessibility of local Pareto optima with constraints. Zbl 0409.58012
Wan, Yieh-Hei
1978
On the algebraic criteria for local Pareto optima. II. Zbl 0395.58002
Wan, Yieh-Hei
1978
On nonlinear stability of isotropic models in stellar dynamics. Zbl 0931.70012
Wan, Yieh-Hei
1999
Bifurcation at Kirchhoff elliptic vortex with eccentricity $$2\sqrt 2/3$$. Zbl 0935.76014
Wan, Yieh-Hei
1998
Codimension two bifurcations of symmetric cycles in Hamiltonian systems with an antisymplectic involution. Zbl 0761.34029
Wan, Yieh-Hei
1992
Versal deformations of infinitesimally symplectic transformations with antisymplectic involutions. Zbl 0742.58023
Wan, Yieh-Hei
1991
Nonlinear stability of stationary spherically symmetric models in stellar dynamics. Zbl 0727.70015
Wan, Yieh-Hei
1990
Desingularizations of systems of point vortices. Zbl 0669.76040
Wan, Yieh-Hei
1988
Variational principles for Hill’s spherical vortex and nearly spherical vortices. Zbl 0661.76017
Wan, Yieh-Hei
1988
The stability of rotating vortex patches. Zbl 0624.76055
Wan, Yieh-Hei
1986
On the average speed of Lemke’s algorithm for quadratic programming. Zbl 0613.90075
Wan, Yieh-Hei
1986
Nonlinear stability of circular vortex patches. Zbl 0584.76062
Wan, Y. H.; Pulvirenti, M.
1985
Theory and applications of Hopf bifurcation. Transl. from the English. Zbl 0662.34001
Hassard, B. D.; Kazarinoff, N. D.; Wan, Y.-H.
1985
A simple exact solution of the Prandtl boundary layer equations containing a point of separation. Zbl 0577.76036
Liu, Ching Shi; Wan, Yieh-Hei
1985
The traction problem for incompressible materials. Zbl 0574.73013
Wan, Y. H.
1985
On the nonlinear stability of circular vortex patches. Zbl 0552.76027
Wan, Yieh-Hei
1984
Symmetry and bifurcation in three-dimensional elasticity. II. Zbl 0536.73010
Chillingworth, D. R. J.; Marsden, J. E.; Wan, Y. H.
1983
Symmetry and bifurcation in three-dimensional elasticity. Zbl 0536.73011
Wan, Y. H.; Marsden, J. E.
1983
Linearization stability and Signorini series for the traction problem in elastostatics. Zbl 0533.73022
Marsden, J. E.; Wan, Y. H.
1983
Symmetry and bifurcation in three-dimensional elasticity. I. Zbl 0509.73018
Chillingworth, D. R. J.; Marsden, J. E.; Wan, Y. H.
1982
Theory and applications of Hopf bifurcation. Zbl 0474.34002
Hassard, B. D.; Kazarinoff, N. D.; Wan, Y.-H.
1981
Generic deformations of varieties. Zbl 0452.58010
Wan, Yieh-Hei
1980
Bifurcation formulae derived from center manifold theory. Zbl 0435.34034
Hassard, B.; Wan, Y. H.
1978
Computation of the stability condition for the Hopf bifurcation of Diffeomorphisms on $$\mathbb{R}^2$$. Zbl 0389.58008
Wan, Yieh-Hei
1978
Hopf bifurcation and stability of periodic solutions of differential- difference and integro-differential equations. Zbl 0379.45021
Kazarinoff, N. D.; Wan, Y.-H.; van den Driessche, P.
1978
Bifurcation into invariant tori at points of resonance. Zbl 0399.58005
Wan, Yieh-Hei
1978
On the structure and stability of local Pareto optima in a pure exchange economy. Zbl 0393.90015
Wan, Yieh-Hei
1978
Accessibility of local Pareto optima with constraints. Zbl 0409.58012
Wan, Yieh-Hei
1978
On the algebraic criteria for local Pareto optima. II. Zbl 0395.58002
Wan, Yieh-Hei
1978
On the uniqueness of invariant manifolds. Zbl 0362.58010
Wan, Yieh-Hei
1977
On the algebraic criteria for local Pareto optima. I. Zbl 0352.58003
Wan, Y. H.
1977
On local Pareto Optima. Zbl 0309.90049
Wan, Yieh-Hei
1975
Morse theory for two functions. Zbl 0305.58007
Wan, Y. H.
1975
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#### Cited by 1,892 Authors

 71 Wei, Junjie 27 Liao, Xiaofeng 27 Zhang, Zizhen 23 Song, Yongli 21 Xu, Changjin 20 Cao, Jinde 20 Yan, Xiangping 18 Jiang, Weihua 17 Lin, Yiping 16 Guo, Shangjiang 16 Yang, Ruizhi 15 Jiang, Zhichao 15 Zhang, Chunrui 14 Ruan, Shigui 14 Wan, Yieh-Hei 13 Dai, Yunxian 13 Liu, Juan 13 Niu, Ben 12 Shi, Junping 11 Chattopadhyay, Joydev 11 Chen, Guanrong 11 Huang, Lihong 11 Samanta, Sudip K. 11 Wang, Lin 11 Wu, Jianhong 11 Zhang, Jiafang 10 Feichtinger, Gustav 10 Kar, Tapan Kumar 10 Li, Wan-Tong 10 Liao, Maoxin 10 Marsden, Jerrold Eldon 10 Tang, Xianhua 10 Xiao, Min 10 Zhao, Huitao 9 Guerrini, Luca 9 Han, Maoan 9 Kolesov, Andreĭ Yur’evich 9 Yang, Qigui 8 Guo, Songtao 8 Guo, Yuxiao 8 Huo, Hai-Feng 8 Liu, Haihong 8 Meng, Xinyou 8 Neamţu, Mihaela 8 Novak, Andreas J. 8 Rozov, Nikolaĭ Khristovich 8 Tian, Canrong 8 Wang, Guodong 8 Xu, Rui 8 Yang, Huizhong 8 Yuan, Sanling 8 Zhang, Cunhua 8 Zhang, Tonghua 7 Agnihotri, Kulbhushan 7 Hu, Haiyan 7 Kumar Upadhyay, Ranjit 7 Marchioro, Carlo 7 Merdan, Hüseyin 7 Sun, Chengjun 7 Wang, Yougang 7 Wei, Zhouchao 7 Wu, Ranchao 7 Yan, Fang 7 Zhao, Min 7 Zou, Xingfu 6 Bi, Dianjie 6 Dai, Chuanjun 6 Ding, Xiaohua 6 Gazi, Nurul Huda 6 Jiang, Yaolin 6 Li, Peiluan 6 Liu, Wei 6 Ma, Wanbiao 6 Magal, Pierre 6 Opriş, Dumitru 6 Pal, Nikhil Ranjan 6 Peng, Miao 6 Shu, Hongying 6 Wan, Aying 6 Wang, Hongbin 6 Wang, Xuedi 6 Wu, Jianhua 6 Xu, Xu 6 Yi, Fengqi 6 Zhang, Qingling 6 Zhang, Zhengdi 6 Zheng, Baodong 5 Balachandran, Krishnan 5 Bandyopadhyay, Malay 5 Bhattacharyya, Rakhi 5 Biswas, Santanu 5 Cao, Daomin 5 Chen, Shanshan 5 Din, Qamar 5 Ding, Yuting 5 Dong, Tao 5 Dubey, Balram 5 Fan, Dejun 5 Fishman, L. Z. 5 Gasull, Armengol ...and 1,792 more Authors
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#### Cited in 211 Serials

 118 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 105 Nonlinear Dynamics 99 Chaos, Solitons and Fractals 80 Applied Mathematics and Computation 58 Nonlinear Analysis. Real World Applications 55 Advances in Difference Equations 47 Journal of Mathematical Analysis and Applications 45 Abstract and Applied Analysis 40 Journal of Differential Equations 32 Discrete Dynamics in Nature and Society 31 International Journal of Biomathematics 28 Physica D 24 Mathematical Biosciences 22 Communications in Nonlinear Science and Numerical Simulation 20 Applied Mathematical Modelling 16 Journal of Mathematical Biology 16 Journal of Applied Mathematics and Computing 15 Archive for Rational Mechanics and Analysis 15 Computers & Mathematics with Applications 15 Journal of Computational and Applied Mathematics 15 Journal of Applied Mathematics 14 Mathematical Methods in the Applied Sciences 14 Mathematical and Computer Modelling 14 Mathematical Problems in Engineering 14 Nonlinear Analysis. Theory, Methods & Applications 11 Mathematics and Computers in Simulation 11 Dynamics and Stability of Systems 11 Chaos 10 Journal of Fluid Mechanics 10 Journal of Nonlinear Science 9 Communications in Mathematical Physics 9 Physics Letters. A 9 Bulletin of Mathematical Biology 9 Journal of Mathematical Economics 9 Journal of Optimization Theory and Applications 9 Nonlinear Analysis. Modelling and Control 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Applied Mathematics and Mechanics. (English Edition) 8 Differential Equations 8 Mathematical Biosciences and Engineering 8 Journal of Biological Dynamics 7 Journal of the Franklin Institute 6 Transactions of the American Mathematical Society 6 Acta Applicandae Mathematicae 6 Acta Mathematicae Applicatae Sinica. English Series 6 Complexity 6 Journal of Biological Systems 6 International Journal of Nonlinear Sciences and Numerical Simulation 6 Journal of Theoretical Biology 6 Journal of Applied Analysis and Computation 5 Applied Mathematics Letters 5 International Journal of Computer Mathematics 5 Discrete and Continuous Dynamical Systems 4 Reports on Mathematical Physics 4 Rocky Mountain Journal of Mathematics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Economic Theory 4 Systems & Control Letters 4 Journal of Economic Dynamics & Control 4 Neural Networks 4 Communications in Partial Differential Equations 4 European Journal of Operational Research 4 Journal of Dynamics and Differential Equations 4 Journal of Mathematical Chemistry 4 Differential Equations and Dynamical Systems 4 Discrete and Continuous Dynamical Systems. Series B 4 Nonlinear Analysis. Hybrid Systems 4 Mathematical Modelling of Natural Phenomena 3 Biological Cybernetics 3 Journal of Mathematical Physics 3 Theoretical and Mathematical Physics 3 Prikladnaya Matematika i Mekhanika 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Automatica 3 Proceedings of the American Mathematical Society 3 Applied Numerical Mathematics 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Japan Journal of Applied Mathematics 3 Journal of Global Optimization 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Elasticity 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Proceedings of the Steklov Institute of Mathematics 3 Acta Mechanica Sinica 3 Advances in Mathematical Physics 3 International Journal of Applied and Computational Mathematics 3 Open Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Engineering Science 2 International Journal of Systems Science 2 Physica A 2 Physics Reports 2 Ukrainian Mathematical Journal 2 Theoretical and Computational Fluid Dynamics 2 Journal of Geometry and Physics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Funkcialaj Ekvacioj. Serio Internacia 2 International Journal of Mathematics and Mathematical Sciences 2 Numerical Functional Analysis and Optimization 2 Siberian Mathematical Journal ...and 111 more Serials
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#### Cited in 43 Fields

 879 Ordinary differential equations (34-XX) 728 Biology and other natural sciences (92-XX) 406 Dynamical systems and ergodic theory (37-XX) 258 Partial differential equations (35-XX) 111 Systems theory; control (93-XX) 85 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 80 Numerical analysis (65-XX) 71 Fluid mechanics (76-XX) 49 Mechanics of particles and systems (70-XX) 45 Computer science (68-XX) 41 Operations research, mathematical programming (90-XX) 35 Mechanics of deformable solids (74-XX) 28 Global analysis, analysis on manifolds (58-XX) 21 Difference and functional equations (39-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 11 Optics, electromagnetic theory (78-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Astronomy and astrophysics (85-XX) 8 Operator theory (47-XX) 8 Differential geometry (53-XX) 8 Probability theory and stochastic processes (60-XX) 7 Integral equations (45-XX) 7 Manifolds and cell complexes (57-XX) 6 Information and communication theory, circuits (94-XX) 4 Geophysics (86-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Quantum theory (81-XX) 3 Relativity and gravitational theory (83-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX)