- S.C.Chou, X.S. Gao. Automated reasoning in mechanics using Ritt-Wu’s method. University of Texas at Austin, USA. (1989).
- S.C. Chou, X.S. Gao Automated reasoning in mechanics using Ritt-Wu’s method; Part III. Proceedings of the IFIP International Workshop on Automated Reasoning Elsevier Science Publishers Beijing 1–12. (1992)
- S.C. Chou, X.S. Gao. Automated Reasoning in Differential Geom- etry and Mechanics using characteristic method IV Bertrand curves. J. of Sys. Math 6:186–192. 216–228. (1993)
- D. Wang. A generalized algorithm for computing characteristic sets, World Scientific Publishing Company, Singapore, 165–174. (2001)
- D. Wang. Elimination methods, texts and monograms in symbolic computations, Springer-Verlag, Wien New York. (2001) [CrossRef]
- E. Hubert. Notes on triangular sets and triangulation-decomposition algorithms II: diferential systems, Lecture Notes in Computer Science, Springer-Verlag, Berlin, 2630, 40–87. (2003)
- F. Afzal. Generalized char sets for ordinary differential polynomial sets, Science International, 28 (3), (2016).
- F. Afzal. Comparison of Char-Sets with Generalized Char-Sets of Ordinary differential Polynomial Sets, International Conference on Applied Computing, Mathematical Sciences and Engineering (ACME), Johor Bahru, Malaysia. (2016)
- GalloG., MishraB, Efficient algorithms and bounds for Wu-Ritt characteristic sets, In: MoraT., TraversoC. (Eds.), Efective Methods in Algebraic Geometry, Progress in Mathematics, Birkhauser, Berlin, 94, 119–142. (1991) [CrossRef]
- G. Gallo, B. Mishra, Wu-Ritt. characteristic sets and their complexity. Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, Providence, 6, 1110–136. (1999)
- J. F. Ritt. Differential algebra, New York: AMS Press. (1950) [CrossRef]
- J. Meng, L. Xiaoliang, D. Wang. A new algorithmic scheme for computing characteristic sets, Journal of Symbolic Computation, 50, 431–449. (2013) [CrossRef]
- M. A. Kalkbrener, generalized Euclidean algorithm for computing triangular representations of algebraic varieties, Journal of Symbolic Computation, 15, 14–167. (1993) [CrossRef]
- M. Fliess, Generized controller canonical forms for linear and nonlinear dynamocs, IEEE Trans.Automat. Control 35, 994–1001. (1990)
- Y Li, Some properties of triangular sets and improvement upon algorithm CharSer, In: J. Calmet, T. Ida, D. Wang (Eds.), Artificial Intelligence and Symbolic Computation, Lecture Notes in Computer Science. Springer-Verlag, Beijing, 4120, 82–93. (2006) [CrossRef]
- S. Diop and M. Fliess, Nonlinear observability, identifitability and persistent trajesctories, in: Proc. 30th IEEE confernce on Decision and control (IEEE Press), New York, 714–719. (1991)
- T. Sasaki, A. Furukawa. Theory of multiple polynomial remainder sequence, Publ. RIMS, Kyoto Univ, 20, 367–399. (1984)
- W. T. Wu. Mathematics-mechanization research preprints, No 1-6, MM Research Center, Academia Sinica, 986. (1987–1991)
- X.S. Gao, J. Van der Hoeven, Y. Luo, and C. Yuan. Characteristic set method for differential-difference polynomial systems. Journal of Symbolic Computation, 44, 1137–1163. (2009) [CrossRef]
- X.S. Gao and Z. Huang, Characteristic set algorithms for equation solving in finite fields and applications in cryptanalysis, Journal of Symbolic Computation, 47, 655–679. (2012) [CrossRef]
- Y. Chen, X. S. Gao. Involutive characteristic sets of algebraic partial diferential equation systems, Science in China Series A: Mathematics, 46, 469–487. (2003) [CrossRef]
- Z. W. Gan, M. Zhou, Decomposition of Reflexive Differential-Difference Polynomial Systems, Applied Mechanics and Materials, Vols 380–384, 1645–1648. (2013) [CrossRef]
MATEC Web Conf.
Volume 77, 20162016 3rd International Conference on Mechanics and Mechatronics Research (ICMMR 2016)
|Number of page(s)||5|
|Section||Modeling and Simulation|
|Published online||03 October 2016|
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