Edit Profile (opens in new tab) Tin, Siu-Kei Co-Author Distance Author ID: tin.siu-kei Published as: Tin, Siu-Kei; Tin, S. K.; Tin, S.-K. more...less Documents Indexed: 7 Publications since 1991 Co-Authors: 5 Co-Authors with 5 Joint Publications 293 Co-Co-Authors Co-Authors 2 single-authored 2 Camassa, Roberto 2 Jones, Christopher K. R. T. 1 Kopell, Nancy J. 1 Kovačič, Gregor 1 Li, E. Herbert all top 5 Serials 1 Archive for Rational Mechanics and Analysis 1 Mathematische Annalen 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Bulletin. The Institute of Mathematics and its Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of the Atmospheric Sciences all top 5 Fields 5 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 6 Publications have been cited 107 times in 105 Documents Cited by ▼ Year ▼ A Melnikov method for homoclinic orbits with many pulses. Zbl 0967.37037 Camassa, Roberto; Kovačič, Gregor; Tin, Siu-Kei 47 1998 Invariant manifolds and singularly perturbed boundary value problems. Zbl 0813.34024 Tin, S.-K.; Kopell, N.; Jones, C. K. R. T. 34 1994 Generalized exchange lemmas and orbits heteroclinic to invariant manifolds. Zbl 1362.34094 Jones, Christopher K. R. T.; Tin, Siu-Kei 20 2009 The global geometry of the slow manifold in the Lorentz-Krishnamurthy model. Zbl 0936.86001 Camassa, Roberto; Tin, Siu-Kei 4 1996 Transversality of double-pulse homoclinic orbits in the inviscid Lorenz-Krishnamurthy system. Zbl 0889.34041 Tin, Siu-Kei 1 1995 Numerically positive polynomials for \(k\)-ample vector bundles. Zbl 0757.14009 Tin, Siu-Kei 1 1992 Generalized exchange lemmas and orbits heteroclinic to invariant manifolds. Zbl 1362.34094 Jones, Christopher K. R. T.; Tin, Siu-Kei 20 2009 A Melnikov method for homoclinic orbits with many pulses. Zbl 0967.37037 Camassa, Roberto; Kovačič, Gregor; Tin, Siu-Kei 47 1998 The global geometry of the slow manifold in the Lorentz-Krishnamurthy model. Zbl 0936.86001 Camassa, Roberto; Tin, Siu-Kei 4 1996 Transversality of double-pulse homoclinic orbits in the inviscid Lorenz-Krishnamurthy system. Zbl 0889.34041 Tin, Siu-Kei 1 1995 Invariant manifolds and singularly perturbed boundary value problems. Zbl 0813.34024 Tin, S.-K.; Kopell, N.; Jones, C. K. R. T. 34 1994 Numerically positive polynomials for \(k\)-ample vector bundles. Zbl 0757.14009 Tin, Siu-Kei 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 130 Authors 28 Zhang, Wei 15 Yao, Minghui 9 Liu, Weishi 7 Chen, Fangqi 7 Zhang, Mingji 5 Bates, Peter W. 4 Hsu, Ting-Hao 4 Schecter, Stephen 4 Sourdis, Christos 4 Zhang, Dongmei 3 de Rijk, Björn 3 Kaper, Tasso J. 3 Ma, Wensai 3 Wen, Zhenshu 3 Zhang, Junhua 3 Zhang, Yufei 2 Adrover, Alessandra 2 An, Fengxian 2 Clarke, Andrew 2 Creta, Francesco 2 Giona, Massimiliano 2 Goodman, Roy H. 2 Hao, Wangli 2 Huangfu, Yugao 2 Hurtubise, David E. 2 Jia, Yusheng 2 Li, Feng 2 Li, Shuangbao 2 Lin, Guojian 2 Lin, Xiaobiao 2 Ni, Mingkang 2 Sun, Min 2 Turaev, Dmitry V. 2 Valorani, Mauro 2 Wang, Cheng 2 Wang, Fengxia 2 Zhang, Xiang 1 Aykutlug, Erkut 1 Banyaga, Augustin 1 Barry, Anna M. 1 Benes, G. Nicholas 1 Bînzar, Tudor 1 Cao, Dongxing 1 Carretero-González, Ricardo 1 Champneys, Alan R. 1 Chekroun, Mickaël D. 1 Chen, Hongkui 1 Chen, Jianing 1 Cornwell, Paul 1 Doelman, Arjen 1 Du, Zengji 1 Duan, Jinqiao 1 Eldering, Jaap 1 Engel, Maximilian 1 Engler, Hans 1 Féjoz, Jacques 1 Gelfreich, Vassili 1 Ginoux, Jean-Marc 1 Guardia, Marcel 1 Guo, Xiuying 1 Hale, Jack Kenneth 1 Hao, Yuxin 1 Härterich, Jörg M. 1 Hayes, Michael G. 1 Hek, Geertje 1 Holzer, Matt 1 Hsu, Cheng-Hsiung 1 Ji, Shuguan 1 Jin, Yinlai 1 Jones, Christopher K. R. T. 1 Kaper, Hans G. 1 Karali, Georgia D. 1 Kevrekidis, Panayotis G. 1 Kopell, Nancy J. 1 Kovačič, Gregor 1 Kramer, Mark A. 1 Krause, Andrew L. 1 Kühn, Christian 1 Kvalheim, Matthew D. 1 Kwiecinski, James A. 1 Lăzureanu, Cristian 1 Li, Ji 1 Lin, Xiaojie 1 Liu, Honghu 1 Liu, Yaze 1 Lizarraga, Ian 1 Lodh, Rémi Shankar 1 Lu, Haibo 1 Lu, Hong 1 Lu, Kening 1 Maggia, Marco 1 Marangell, Robert 1 McWilliams, James C. 1 Mease, Kenneth D. 1 Ono, Kinya 1 Planella, Ferran Brosa 1 Popović, Nikola 1 Pötzsche, Christian 1 Rademacher, Jens Diederich Michael 1 Revzen, Shai ...and 30 more Authors all top 5 Cited in 46 Serials 13 Journal of Differential Equations 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Nonlinear Dynamics 6 SIAM Journal on Applied Dynamical Systems 4 Nonlinearity 4 Journal of Dynamics and Differential Equations 4 Chaos 3 Chaos, Solitons and Fractals 3 Physica D 3 SIAM Journal on Mathematical Analysis 3 Mathematical Problems in Engineering 2 International Journal of Modern Physics B 2 Acta Mechanica 2 Mathematical Methods in the Applied Sciences 2 Journal of Nonlinear Science 2 Qualitative Theory of Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series S 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Duke Mathematical Journal 1 Meccanica 1 Transactions of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Dynamics and Stability of Systems 1 Archive of Applied Mechanics 1 Discrete and Continuous Dynamical Systems 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Nonlinear Mathematical Physics 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Algebraic & Geometric Topology 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 African Diaspora Journal of Mathematics 1 Mathematical Biosciences and Engineering 1 Computational and Mathematical Biophysics all top 5 Cited in 20 Fields 57 Ordinary differential equations (34-XX) 46 Dynamical systems and ergodic theory (37-XX) 34 Mechanics of deformable solids (74-XX) 24 Partial differential equations (35-XX) 18 Biology and other natural sciences (92-XX) 15 Mechanics of particles and systems (70-XX) 8 Optics, electromagnetic theory (78-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 3 Numerical analysis (65-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Algebraic geometry (14-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Citations by Year