2008

Books

1. 1.    H. Li. Invariant Algebras and Geometric Reasoning. World Scientific, 2008 ,Singapore.
2. 2.    刘木兰、张志芳.密钥共享体制和安全多方计算. 北京:电子工业出版社,2008.2，ISBN 978-7-121-05792-2 .

patents

1. 一种由圆柱副、圆柱副和球面副构成的并联机构。 专利号：ZL 2006 1 0109345.6 授权公告日：2008年7月30日。 完成人：高小山、廖启征

Journal Papers

1. F. Chai, X.S. Gao and C.M .Yuan. A Characteristic Set Method for Solving Boolean Equations and Applications in Cryptanalysis of Stream Ciphers.Journal of Systems Science and Complexity, 2008,21(2)：191-208. (SCI)
2. R. Feng, X.S. Gao, and Z. Huang. Rational Solutions of Ordinary Difference Equations. Journal of Symbolic Computation, 2008, 43:746-763. (SCI)
3. X.S. Gao and M. Zhang. Decomposition of Differential Polynomials. Applicable Algebra in Engineering, Communication and Computing, 2008,19(1):1-25. (SCI)
4. J. Li, L. Shen and X.S. Gao. Proper Reparametrization of Rational Ruled Surface. Journal of Computer Science and Technology, 2008, 23(2):290-297.
5. X.S. Gao, J. van der Hoeven, C.M. Yuan, and G. Zhang. Characteristic Set Method for Differential-Difference Polynomial Systems, Le Matematiche,2008 , Vol 63:19-21.
6. X.S. Gao, Y. Luo and C.M. Yuan. A Characteristic Set Method for Difference Polynomial Systems, accepted by Journal of Symbolic Computation. (SCI)
7. J.S. Cheng, X.S. Gao and C.K. Yap. Complete Numerical Isolation of Real Roots in Zero-dimensional Triangular Systems, accepted by Journal of Symbolic Computation. (SCI)
8. H. Li, L. Zhao and Y. Chen. A Symbolic Approach to Polyhedral Scene Analysis by Parametric Calotte Propagation. Robotica, 2008,26: 483-501.(SCI)
9. D. Wang, Z. Yan and H. Li. Some special types of solutions of a class of the (N+1)-dimensional nonlinear wave equations. Computers and Mathematics with Applications, 2008, 56: 1569-1579. (SCI)
10. D. Wang, H. Li. Symbolic computation and non-travelling wave solutions of (2+1)-dimensional nonlinear evolution equations. Chaos, Solitons and Fractals,2008, 38: 383-390. (SCI)
11. D. Wang, H. Li, J. Wang. The novel solutions of auxiliary equation and their application to the (2+1)-dimensional Burgers equations. Chaos, Solitons, and Fractals ,2008,38: 374-382. (SCI)
12. D. Wang, H. Li. Single and multi-solitary wave solutions to a class of nonlinear evolution   equations. Math. Anal. Appl, 2008, 343: 273-298. (SCI)
13. L. Huang, H. Li. Complex brackets and balanced complex first-order difference polynomials in 4-dimensional Minkowski space. Science in ChinaSeries A,2008 ,38(7): 750-760.(SCI)
14. Z. Xie, H. Li. A note on discrete connections on regular lattice. Commun. Theor. Phys. 2008 (accepted). (SCI)
15. Z. Xie, H. Li. Applications of exterior difference systems to variations in discrete mechanics. J. Phys. A: Math. Theor. 2008, 41: 085208. (SCI)
16. Z. Xie, H. Li. Exterior difference systems and invariance properties of discrete mechanics. J. Phys. A: Math. Theor. (accepted), 2008. (SCI)
17. Z. Xie, H. Li. Formal integrability criteria for nonlinear partial difference equations, Acta         Appl. Math, 2008, doi: 10.1007/s10440-008-9312-5. (SCI)
18. J. Liu, H. Li and Y. Cao. Simplification and normalization of indexed differentials involving coordinate transformation. Science in China Series A (accepted), 2008. (SCI)
19. H. Li. From geometric algebras to advanced invariant computing, J. Sys. Sci. Math. 2008, 28(8): 915-929.
20. Z. Li and H. Wang. A criterion for the similarity of length-two elements in a noncommutative PID. Accepted by J. Sys. Sci. and Compl.  (SCI)
21. B. Li, J.W. Nie and L.H. Zhi . Approximate GCDs of polynomials and sparse SOS relaxations. Theoretical Computer Science, 2008,409(2)：200-210.（SCI）
22. G. Reid and L.H. Zhi. Solving polynomials systems via symbolic-numeric eliminational method .Journal of Symbolic Computation, to appear 2008.（SCI）
23. E. Kaltofen, J.P. May, Z.F. Yang and L.H. Zhi. Approximate factorization of multivariate polynomials using singular value decomposition. Journal of Symbolic Computation, 2008,43(5):359-376.（SCI）
24. B.Y. Li, Z.J. Liu and L.H. Zhi .A Structured Rank-revealing Method for Sylvester Matrix. Journal of Computational and Applied Mathematics, 2008,213 pp.212-223.（SCI）
25. Y.S. Zhang, Z.J. Liu. Efficient threshold multi-secret sharing scheme among weighted participants. Computer Engineering and Design, 2008,29(4):814.
26. Y.S. Zhang, Z.J. Liu. Dynamic Generalized Threshold Multi-Secret Sharing Scheme among Weighted Participants. Journal of Beijing University of Posts and Telecommunications, 2008,31(1).
27. Y. Deng and M. Liu. Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with odd characteristic. European Journal of Combinatorics, 2008, 29 (6): 1436--1448. (SCI)
28. Z.Y. Yan. New binary travelling-wave periodic solutions for the modified KdV equation. Phys. Lett. A, 372 (2008) 969. (SCI)
29. Z.Y. Yan. Complex PT-symmetric extensions of the non PT-symmetric Burgers equation. Phys. Scr. 77(2008) 025006. (SCI)
30. Z.Y. Yan. The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions. Appl. Math. Comput, 203 (2008) 106. (SCI)
31. Z.Y. Yan, P. Yu. Hyperchaos synchronization and control on a new hyperchaotic attractor. Chaos, Solitons and Fractals, 35 (2008) 333. (SCI)
32. F. Xie, Z.Y. Yan. Compactons and noncompactons to three-dimensional Kadomtsev –Petviashvili equation with nonlinear dispersion. Chaos, Solitonsand Fractals, 36 (2008)  278 . (SCI)
33. F. Xie, Z.Y. Yan, Exactly fractional solutions of the (2+1)-dimensional modified KP equation via some fractional transformations. Chaos, Solitons and Fractals, 36 (2008) 1108. (SCI)
34. Y. Chen and Z.Y. Yan. Chaos control in a new three-dimensional chaotic T system, Commun. Theor. Phys. 45(2008)941. (SCI)
35. R.Y. Feng and J.P .Yu. Mechanical theorem proving in the surfaces using the characteristic set method and Wronskian determinant. Science in ChinaSeries A: Mathematics, 2008,51(10):1763-1774.(SCI)
36. Z. Zhang, M. Liu and L. Xiao. Rearrangements of Access Structures and Their Realizations in Secret Sharing Schemes. Discrete Mathematics,308(2008), pp. 4882-4891.（SCI）
37. Z. Wan, Z. Gu. Orthogonal graphs of odd characteristic and their automorphisms. Finite Fields and Their Applications,2008, 14:291-313.(SCI)
38. Z. Wan. A Generalization of Witt’s Theorem and Sylvester’s Law of Nullity. Algebra Colloquium 2008, 15:181-184. (SCI )
39. B.H .Li, Y.F. Shen and B. Li, Quasi-Steady State Laws in Enzymy Kinetics, J. Phys. Chem. A .2008, 112(11):2311-2321. (SCI)
40. B.H .Li, Y.F. Shen and B. Li, New algorithm for computing the minimum Hausdoff distance between two point sets on a line under translation, Information Processing Letters, 2008,106: 52-58. (SCI)
41. B.H. Li, B. Li and Y.F. Shen, A Novel Approach to Measure All Rate Constants in the Simplest Enzyme Kinetics Model, Journal of Mathematical Chemistry, 2008. (SCI)
42. 石赫.SU(2)规范场得恰当形式（欧空间）.系统科学与数学，2008，28（7）:859-866.
43. 石赫.SU(3)规范场得恰当形式（欧空间）.数学学报，2008，51（5）:833-840.
44. Z. Yuan. Provable secure digital watermarking scheme. Journal on Communications, 2008,  29(9).

Papers on Conference Proceedings

1. H.B. Li and L. Huang. Complex Brackets, Balanced Complex Differences, and Applications in Symbolic Geometric Computing. In Proceedings of the 2008 International Workshop on Symbolic-Numeric Computation, Austria , 2008,ACM Press. (EI)
2. E. Kaltofen, B. Li, Z.F. Yang and L.H. Zhi. Exact Certification of Global Optimality of Approximate Factorizations via Rationalizing Sums-of-Squares with Floating Point Scalars. In Proceedings of the 2008 International Workshop on Symbolic-Numeric Computation.  Austria , 2008,ACM Press. pp. 155-163. （EI）
3. J. Li and Z.X. Gao. A  Modified van der Waerden Algorithm to Decompose Algebraic Varieties and Zero-Dimensional Radical Ideals. Springer-Verlag,Berlin Heidelberg, 2008, ASCM 2007, LNAI 5081, 246-262. (EI)
4. Z. Zhang, M. Liu, Y. M. Chee, S. Ling, and H. Wang, Strongly multiplicative and 3-multiplicativelinear secret sharing schemes, Advances in Cryptology, ASIACRYPT 2008, LNCS 5350, 19-36, Springer. （SCI）
5. X.L. Wu and L.H. Zhi. Computing the multiplicity structure from geometric involutive form. In Proceedings of the 2008 Internat. Symp. Symbolic Algebraic Comput, 2008, ACM Press, pp. 325-332. （EI）
6. Y. Chen, H. Li. Symbolic Approach to Reconstruct Polyhedral Scene from Single 2D Line Drawing. In Proceedings of the 2008 IEEE International Conferences on Cybernetics & Intelligent Systems and Robotics, Automation & Mechatronics, Chengdu, September 22-24, 2008 (EI)
7. B.H. Li, D.K. Wang. An Algorithm for Transforming Regular Chair into Normal Chain, D. Kapur (ed.): ASCM 2007, LNAI 5081, pp. 236-245, 2008.