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Author ID: chien.cheng-sheng Recent zbMATH articles by "Chien, Cheng-Sheng"
Published as: Chien, C.-S.; Chien, C. S.; Chien, Cheng-Sheng
Documents Indexed: 64 Publications since 1986
Co-Authors: 16 Co-Authors with 56 Joint Publications
273 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 401 times in 215 Documents Cited by Year
Effective condition number for finite difference method. Zbl 1104.65043
Li, Zi-Cai; Chien, Cheng-Sheng; Huang, Hung-Tsai
38
2007
A two-grid discretization scheme for semilinear elliptic eigenvalue problems. Zbl 1095.65100
Chien, C.-S.; Jeng, B.-W.
32
2006
Continuation and local perturbation for multiple bifurcations. Zbl 0617.65056
Allgower, E. L.; Chien, C.-S.
20
1986
Computing wave functions of nonlinear Schrödinger equations: a time-independent approach. Zbl 1129.65077
Chang, S.-L.; Chien, C.-S.; Jeng, B.-W.
19
2007
Two-grid discretization schemes for nonlinear Schrödinger equations. Zbl 1135.65361
Chien, C.-S.; Huang, H.-T.; Jeng, B.-W.; Li, Z.-C.
18
2008
Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates. Zbl 1196.82107
Chang, S.-L.; Chien, C.-S.
18
2007
Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices. Zbl 1246.82030
Chen, Huei-Shuang; Chang, Shing-Lin; Chien, Cheng-Sheng
17
2012
Liapunov-Schmidt reduction and continuation for nonlinear Schrödinger equations. Zbl 1132.35475
Chang, S.-L.; Chien, C.-S.; Jeng, B.-W.
15
2007
A two-parameter continuation method for rotating two-component Bose-Einstein condensates in optical lattices. Zbl 1373.82083
Wang, Y.-S.; Jeng, B.-W.; Chien, C.-S.
15
2013
Large sparse continuation problems. Zbl 0688.65035
Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt
14
1989
Mode jumping in the von Kármán equations. Zbl 0985.74021
Chien, C.-S.; Gong, S.-Y.; Mei, Z.
13
2000
Conjugate gradient methods for continuation problems. Zbl 0753.65046
Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt; Wang, C.-F.
13
1991
Multilevel spectral-Galerkin and continuation methods for nonlinear Schrödinger equations. Zbl 1191.65132
Chen, H.-S.; Chien, C.-S.
9
2010
Numerical continuation at double bifurcation points of a reaction-diffusion problem. Zbl 0917.35051
Chien, C. S.; Mei, Z.; Shen, C.-L.
9
1998
A two-parameter continuation algorithm for vortex pinning in rotating Bose-Einstein condensates. Zbl 1302.65232
Jeng, B.-W.; Wang, Y.-S.; Chien, C.-S.
9
2013
Secondary bifurcations in the buckling problem. Zbl 0682.73035
Chien, C.-S.
8
1989
A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation. Zbl 1220.65161
Wang, Y.-S.; Chien, C.-S.
8
2011
Multiple bifurcation in the von Kármán equations. Zbl 1031.74508
Chien, C.-S.; Chen, M.-S.
8
1997
Tracing the buckling of a rectangular plate with the block GMRES method. Zbl 1001.74120
Chien, C.-S.; Chang, S.-L.; Mei, Z.
8
2001
Lanczos-type methods for continuation problems. Zbl 0889.65060
Chien, C.-S.; Weng, Z.-L.; Shen, C.-L.
8
1997
Computing multiple peak solutions for Bose-Einstein condensates in optical lattices. Zbl 1198.81081
Chang, S.-L.; Chien, C.-S.
8
2009
Two-stage continuation algorithms for Bloch waves of Bose-Einstein condensates in optical lattices. Zbl 1219.82021
Chien, C.-S.; Chang, S.-L.; Wu, Biao
7
2010
A multigrid-Lanczos algorithm for the numerical solutions of nonlinear eigenvalue problems. Zbl 1062.65117
Chang, S.-L.; Chien, C.-S.
7
2003
Multiple bifurcations in a reaction-diffusion problem. Zbl 1001.65095
Chien, C. S.; Chen, M.-H.
7
1998
A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates. Zbl 1349.82129
Wang, Y.-S.; Chien, C.-S.
5
2014
Superconvergence of high-order FEMs for eigenvalue problems with periodic boundary conditions. Zbl 1229.81010
Huang, H.-T.; Chang, S.-L.; Chien, C.-S.; Li, Z.-C.
4
2009
Application of the Lanczos algorithm for solving the linear systems that occur in continuation problems. Zbl 1071.65038
Chien, C.-S.; Chang, S.-L.
4
2003
Tracing the solution surface with folds of a two-parameter system. Zbl 1092.65503
Chang, S.-L.; Chien, C.-S.; Jeng, B.-W.
4
2005
A cubic Hermite finite element-continuation method for numerical solutions of the von Kármán equations. Zbl 1158.74044
Chien, C.-S.; Shih, Y.-T.
4
2009
Continuation-minimization methods for stability problems. Zbl 0796.65112
Allgower, E. L.; Chien, C.-S.
4
1993
Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates. Zbl 1349.81087
Jeng, B.-W.; Chien, C.-S.; Chern, I.-L.
4
2014
A spectral collocation method for a rotating Bose-Einstein condensation in optical lattices. Zbl 1259.82012
Li, Z.-C.; Chen, S.-Y.; Chien, C.-S.; Chen, H.-S.
4
2011
An efficient algorithm for the Schrödinger-Poisson eigenvalue problem. Zbl 1122.65105
Chang, S.-L.; Chien, C.-S.; Jeng, B.-W.
3
2007
Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation. Zbl 1404.65191
Chen, H.-S.; Chang, S.-L.; Jeng, B.-W.; Chien, C.-S.
3
2018
Pseudo-arclength continuation algorithms for binary Rydberg-dressed Bose-Einstein condensates. Zbl 1388.65039
Sriburadet, Sirilak; Wang, Y.-S.; Chien, C.-S.; Shih, Y.
3
2016
Multiple bifurcations on 3D eigenvalue problems. Zbl 0658.65054
Chien, Cheng-Sheng
2
1987
Bifurcations of the von Kármán equations with Robin boundary conditions. Zbl 0942.74023
Chien, C. S.; Kuo, Y. J.; Mei, Z.
2
1999
Conjugate gradient methods for continuation problems. II. Zbl 0857.65060
Chien, C.-S.; Lu, N.-H.; Weng, Z.-L.
2
1995
Symmetry and scaling properties of the von Kármán equations. Zbl 0929.35007
Chien, C. S.; Kuo, Y. J.; Mei, Z.
2
1998
Domain decomposition algorithms for fourth-order nonlinear elliptic eigenvalue problems. Zbl 1033.65099
Chang, S.-L.; Chien, C.-S.
2
2003
Symmetry reductions and a posteriori finite element error estimators for bifurcation problems. Zbl 1092.37528
Chien, C.-S.; Jeng, B.-W.
2
2005
Multigrid-conjugate gradient type methods for reaction-diffusion systems. Zbl 1064.65040
Chang, S.-L.; Chen, H.-S.; Chien, C.-S.
2
2004
Bifurcations of corank greater than two. Zbl 0796.65111
Allgower, E. L.; Chien, C.-S.; Lee, W.-C.
2
1993
A spectral-Galerkin continuation method for numerical solutions of the Gross-Pitaevskii equation. Zbl 1290.65093
Chang, S.-L.; Chen, H.-S.; Jeng, B.-W.; Chien, C.-S.
2
2013
Superconvergence of FEMs and numerical continuation for parameter-dependent problems with folds. Zbl 1147.65324
Chien, C.-S.; Huang, H.-T.; Jeng, B.-W.; Li, Z.-C.
2
2008
Multi-parameter continuation and collocation methods for rotating multi-component Bose-Einstein condensates. Zbl 1317.65241
Chen, S.-Y.; Wang, Y.-S.; Jeng, B.-W.; Chien, C.-S.
2
2015
A time-independent approach for computing wave functions of the Schrödinger-Poisson system. Zbl 1212.65433
Chien, C.-S.; Jeng, B.-W.; Li, Z.-C.
2
2008
A finite difference continuation method for computing energy levels of Bose-Einstein condensates. Zbl 1197.65119
Chang, S.-L.; Chien, C.-S.; Li, Z.-C.
2
2008
Numerical continuation for nonlinear Schrödinger equations. Zbl 1153.65352
Chang, S.-L.; Chien, C.-S.
1
2007
An adaptive parameterized block-based singular value decomposition for image de-noising and compression. Zbl 1250.65041
Shih, Y.-T.; Chien, C.-S.; Chuang, C.-Y.
1
2012
Multiple bifurcations generated by mode interactions in a reaction-diffusion problem. Zbl 1010.65034
Chien, C.-S.; Liao, Y. S.
1
2001
A parallel continuation algorithm for nonlinear eigenvalue problems. Zbl 0792.65033
Chen, M.-J.; Chen, T.-Z.; Chien, C.-S.; Yu, M.-S.
1
1994
A note on stochastic polynomial chaos expansions for uncertain volatility and Asian option pricing. Zbl 1488.91160
Lin, Y.-T.; Shih, Y.-T.; Chien, C.-S.; Sheng, Q.
1
2021
A note on stochastic polynomial chaos expansions for uncertain volatility and Asian option pricing. Zbl 1488.91160
Lin, Y.-T.; Shih, Y.-T.; Chien, C.-S.; Sheng, Q.
1
2021
Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation. Zbl 1404.65191
Chen, H.-S.; Chang, S.-L.; Jeng, B.-W.; Chien, C.-S.
3
2018
Pseudo-arclength continuation algorithms for binary Rydberg-dressed Bose-Einstein condensates. Zbl 1388.65039
Sriburadet, Sirilak; Wang, Y.-S.; Chien, C.-S.; Shih, Y.
3
2016
Multi-parameter continuation and collocation methods for rotating multi-component Bose-Einstein condensates. Zbl 1317.65241
Chen, S.-Y.; Wang, Y.-S.; Jeng, B.-W.; Chien, C.-S.
2
2015
A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates. Zbl 1349.82129
Wang, Y.-S.; Chien, C.-S.
5
2014
Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates. Zbl 1349.81087
Jeng, B.-W.; Chien, C.-S.; Chern, I.-L.
4
2014
A two-parameter continuation method for rotating two-component Bose-Einstein condensates in optical lattices. Zbl 1373.82083
Wang, Y.-S.; Jeng, B.-W.; Chien, C.-S.
15
2013
A two-parameter continuation algorithm for vortex pinning in rotating Bose-Einstein condensates. Zbl 1302.65232
Jeng, B.-W.; Wang, Y.-S.; Chien, C.-S.
9
2013
A spectral-Galerkin continuation method for numerical solutions of the Gross-Pitaevskii equation. Zbl 1290.65093
Chang, S.-L.; Chen, H.-S.; Jeng, B.-W.; Chien, C.-S.
2
2013
Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices. Zbl 1246.82030
Chen, Huei-Shuang; Chang, Shing-Lin; Chien, Cheng-Sheng
17
2012
An adaptive parameterized block-based singular value decomposition for image de-noising and compression. Zbl 1250.65041
Shih, Y.-T.; Chien, C.-S.; Chuang, C.-Y.
1
2012
A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation. Zbl 1220.65161
Wang, Y.-S.; Chien, C.-S.
8
2011
A spectral collocation method for a rotating Bose-Einstein condensation in optical lattices. Zbl 1259.82012
Li, Z.-C.; Chen, S.-Y.; Chien, C.-S.; Chen, H.-S.
4
2011
Multilevel spectral-Galerkin and continuation methods for nonlinear Schrödinger equations. Zbl 1191.65132
Chen, H.-S.; Chien, C.-S.
9
2010
Two-stage continuation algorithms for Bloch waves of Bose-Einstein condensates in optical lattices. Zbl 1219.82021
Chien, C.-S.; Chang, S.-L.; Wu, Biao
7
2010
Computing multiple peak solutions for Bose-Einstein condensates in optical lattices. Zbl 1198.81081
Chang, S.-L.; Chien, C.-S.
8
2009
Superconvergence of high-order FEMs for eigenvalue problems with periodic boundary conditions. Zbl 1229.81010
Huang, H.-T.; Chang, S.-L.; Chien, C.-S.; Li, Z.-C.
4
2009
A cubic Hermite finite element-continuation method for numerical solutions of the von Kármán equations. Zbl 1158.74044
Chien, C.-S.; Shih, Y.-T.
4
2009
Two-grid discretization schemes for nonlinear Schrödinger equations. Zbl 1135.65361
Chien, C.-S.; Huang, H.-T.; Jeng, B.-W.; Li, Z.-C.
18
2008
Superconvergence of FEMs and numerical continuation for parameter-dependent problems with folds. Zbl 1147.65324
Chien, C.-S.; Huang, H.-T.; Jeng, B.-W.; Li, Z.-C.
2
2008
A time-independent approach for computing wave functions of the Schrödinger-Poisson system. Zbl 1212.65433
Chien, C.-S.; Jeng, B.-W.; Li, Z.-C.
2
2008
A finite difference continuation method for computing energy levels of Bose-Einstein condensates. Zbl 1197.65119
Chang, S.-L.; Chien, C.-S.; Li, Z.-C.
2
2008
Effective condition number for finite difference method. Zbl 1104.65043
Li, Zi-Cai; Chien, Cheng-Sheng; Huang, Hung-Tsai
38
2007
Computing wave functions of nonlinear Schrödinger equations: a time-independent approach. Zbl 1129.65077
Chang, S.-L.; Chien, C.-S.; Jeng, B.-W.
19
2007
Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates. Zbl 1196.82107
Chang, S.-L.; Chien, C.-S.
18
2007
Liapunov-Schmidt reduction and continuation for nonlinear Schrödinger equations. Zbl 1132.35475
Chang, S.-L.; Chien, C.-S.; Jeng, B.-W.
15
2007
An efficient algorithm for the Schrödinger-Poisson eigenvalue problem. Zbl 1122.65105
Chang, S.-L.; Chien, C.-S.; Jeng, B.-W.
3
2007
Numerical continuation for nonlinear Schrödinger equations. Zbl 1153.65352
Chang, S.-L.; Chien, C.-S.
1
2007
A two-grid discretization scheme for semilinear elliptic eigenvalue problems. Zbl 1095.65100
Chien, C.-S.; Jeng, B.-W.
32
2006
Tracing the solution surface with folds of a two-parameter system. Zbl 1092.65503
Chang, S.-L.; Chien, C.-S.; Jeng, B.-W.
4
2005
Symmetry reductions and a posteriori finite element error estimators for bifurcation problems. Zbl 1092.37528
Chien, C.-S.; Jeng, B.-W.
2
2005
Multigrid-conjugate gradient type methods for reaction-diffusion systems. Zbl 1064.65040
Chang, S.-L.; Chen, H.-S.; Chien, C.-S.
2
2004
A multigrid-Lanczos algorithm for the numerical solutions of nonlinear eigenvalue problems. Zbl 1062.65117
Chang, S.-L.; Chien, C.-S.
7
2003
Application of the Lanczos algorithm for solving the linear systems that occur in continuation problems. Zbl 1071.65038
Chien, C.-S.; Chang, S.-L.
4
2003
Domain decomposition algorithms for fourth-order nonlinear elliptic eigenvalue problems. Zbl 1033.65099
Chang, S.-L.; Chien, C.-S.
2
2003
Tracing the buckling of a rectangular plate with the block GMRES method. Zbl 1001.74120
Chien, C.-S.; Chang, S.-L.; Mei, Z.
8
2001
Multiple bifurcations generated by mode interactions in a reaction-diffusion problem. Zbl 1010.65034
Chien, C.-S.; Liao, Y. S.
1
2001
Mode jumping in the von Kármán equations. Zbl 0985.74021
Chien, C.-S.; Gong, S.-Y.; Mei, Z.
13
2000
Bifurcations of the von Kármán equations with Robin boundary conditions. Zbl 0942.74023
Chien, C. S.; Kuo, Y. J.; Mei, Z.
2
1999
Numerical continuation at double bifurcation points of a reaction-diffusion problem. Zbl 0917.35051
Chien, C. S.; Mei, Z.; Shen, C.-L.
9
1998
Multiple bifurcations in a reaction-diffusion problem. Zbl 1001.65095
Chien, C. S.; Chen, M.-H.
7
1998
Symmetry and scaling properties of the von Kármán equations. Zbl 0929.35007
Chien, C. S.; Kuo, Y. J.; Mei, Z.
2
1998
Multiple bifurcation in the von Kármán equations. Zbl 1031.74508
Chien, C.-S.; Chen, M.-S.
8
1997
Lanczos-type methods for continuation problems. Zbl 0889.65060
Chien, C.-S.; Weng, Z.-L.; Shen, C.-L.
8
1997
Conjugate gradient methods for continuation problems. II. Zbl 0857.65060
Chien, C.-S.; Lu, N.-H.; Weng, Z.-L.
2
1995
A parallel continuation algorithm for nonlinear eigenvalue problems. Zbl 0792.65033
Chen, M.-J.; Chen, T.-Z.; Chien, C.-S.; Yu, M.-S.
1
1994
Continuation-minimization methods for stability problems. Zbl 0796.65112
Allgower, E. L.; Chien, C.-S.
4
1993
Bifurcations of corank greater than two. Zbl 0796.65111
Allgower, E. L.; Chien, C.-S.; Lee, W.-C.
2
1993
Conjugate gradient methods for continuation problems. Zbl 0753.65046
Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt; Wang, C.-F.
13
1991
Large sparse continuation problems. Zbl 0688.65035
Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt
14
1989
Secondary bifurcations in the buckling problem. Zbl 0682.73035
Chien, C.-S.
8
1989
Multiple bifurcations on 3D eigenvalue problems. Zbl 0658.65054
Chien, Cheng-Sheng
2
1987
Continuation and local perturbation for multiple bifurcations. Zbl 0617.65056
Allgower, E. L.; Chien, C.-S.
20
1986
all top 5

Cited by 299 Authors

40 Chien, Cheng-Sheng
31 Li, Zi-Cai
19 Huang, Hung-Tsai
15 Jeng, B.-W.
14 Chang, Shing-Lin
11 Lee, Ming-Gong
7 Chen, Yanping
7 Wei, Yimin
6 Chen, Huei-Shuang
6 Mei, Zhen
6 Tian, Zhikun
6 Wang, Jianyun
5 Li, Zhaoxiang
5 Lin, Wen-Wei
5 Lu, Tzontzer
5 Muradova, Aliki D.
5 Syam, Muhammed I.
5 Wang, Weichung
5 Yang, Yidu
5 Young, Lih-Jier
5 Zhou, Jianxin
4 Allgower, Eugene L.
4 Bi, Hai
4 Chiang, John Y.
4 Kuo, Yueh-Cheng
4 Liu, Wei
4 Weng, Zhifeng
3 Antoine, Xavier
3 Bao, Weizhu
3 Chern, I-Liang
3 Chu, Po-Chun
3 Feng, Xinlong
3 Hu, Hanzhang
3 Huang, Jin
3 Liu, Huipo
3 Shieh, Shih-Feng
3 Sriburadet, Sirilak
3 Stavroulakis, Georgios E.
3 Tang, Qinglin
3 Xie, Ziqing
3 Zhang, Yu
2 Adhikari, Sadhan K.
2 Ahn, Soyoung
2 Baccouch, Mahboub
2 Barrio, Roberto
2 Ben-Romdhane, Mohamed
2 Cai, Yongyong
2 Calvetti, Daniela
2 Chen, Jen-Hao
2 Chen, Jeng-Tzong
2 Chen, Luoping
2 Cheng, Alexander H.-D.
2 Cui, Jin
2 Du, Peibing
2 Friedman, Mark J.
2 Georg, Kurt
2 He, Siriguleng
2 Heid, Pascal
2 Huang, Yunqing
2 Janczewska, Joanna
2 Jiang, Hao
2 Kim, Philsu
2 Lao, Ji
2 Li, Hong
2 Ling, Leevan
2 Liu, Yang
2 Liu, Yaping
2 Muruganandam, Paulsamy
2 Reichel, Lothar
2 Shi, Dongyang
2 Shih, Yintzer
2 Temimi, Helmi
2 Wang, Shuanghu
2 Wang, Yushun
2 Wang, Zhong-Qing
2 Xie, Hehu
2 Xu, Fei
2 Yan, Ningning
2 Yuan, Yongjun
2 Zhai, Shuying
2 Zhang, Liping
1 Al-Mdallal, Qasem M.
1 An, Rong
1 Attili, Basem S.
1 Audoly, Basile
1 Baglama, James
1 Balaž, Antun
1 Bevilacqua, Luiz
1 Bhowmik, Samir Kumar
1 Bindel, David S.
1 Böhmer, Klaus
1 Boroomand, Bijan
1 Boudouvis, Andreas G.
1 Cai, Wenjun
1 Cai, Yaoxiong
1 Cao, Liang
1 Chang, Chia-Ming
1 Char, Ming-I
1 Chen, Ching-Yu
1 Chen, Fangqi
...and 199 more Authors
all top 5

Cited in 59 Serials

26 Journal of Computational and Applied Mathematics
18 Journal of Computational Physics
17 Computers & Mathematics with Applications
16 Engineering Analysis with Boundary Elements
11 Computer Physics Communications
11 Applied Mathematics and Computation
10 Journal of Scientific Computing
9 Computer Methods in Applied Mechanics and Engineering
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Computing
7 Applied Numerical Mathematics
6 International Journal of Computer Mathematics
3 Numerical Methods for Partial Differential Equations
3 Applied Mathematical Modelling
3 Numerical Linear Algebra with Applications
3 Mathematical Problems in Engineering
3 Advances in Applied Mathematics and Mechanics
2 Mathematical Methods in the Applied Sciences
2 Mathematics of Computation
2 Chaos, Solitons and Fractals
2 International Journal for Numerical Methods in Engineering
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Scientific Computing
2 Advances in Computational Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
2 Boundary Value Problems
2 Communications in Computational Physics
2 Results in Applied Mathematics
1 International Journal of Solids and Structures
1 Journal of Engineering Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of the Mechanics and Physics of Solids
1 Bulletin of Mathematical Biology
1 BIT
1 Manuscripta Mathematica
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Numerical Analysis
1 Mathematica Numerica Sinica
1 Journal of Computational Mathematics
1 Physica D
1 SIAM Journal on Matrix Analysis and Applications
1 Applications of Mathematics
1 Numerical Algorithms
1 Linear Algebra and its Applications
1 Abstract and Applied Analysis
1 European Journal of Mechanics. A. Solids
1 Journal of Modern Optics
1 Nonlinear Analysis. Real World Applications
1 Mathematical Modelling and Analysis
1 Computational Methods in Applied Mathematics
1 Advanced Nonlinear Studies
1 Journal of Applied Mathematics and Computing
1 Central European Journal of Mathematics
1 International Journal of Numerical Analysis and Modeling
1 Mathematical Biosciences and Engineering
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 International Journal of Structural Stability and Dynamics
1 Open Mathematics

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