Time-reversibility in 2-dimensional systems

Open Systems and Information Dynamics

Volumn 15, Issue 4, 2008, Pages 359-370

  Romanovski, Valery G ^a  

^a UNIVERSITY OF MARIBOR   (Slovenia)

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[No Author keywords available]

Indexed keywords

EID: 79958772293     PISSN: 12301612     EISSN: None     Source Type: Journal    
DOI: 10.1142/S1230161208000249     Document Type: Article

References (20)

1. L. Cairo, J. Chavarriga, J. Gińe and J. Llibre, Comput. Math. Appl. 38, 39 (1999).
2. J. Chavarriga, J. Gińe and I. A. García, J. Comput. Appl. Math. 126, 351 (2000).
3. J. Chavarriga and M. Sabatini, Qual. Theory of Dyn. Syst. 1, 1 (1999).
4. A. Cima, A. Gasull, V. Mañosa, and F. Manosas, Rocky Mountain J. Math. 27, 471 (1997).
5. C. Christopher and C. Rousseau, Publicacions Matematiques 45, 95 (2001)
6. D. Cox, J. Little, and D. O'Shea, Ideals, Varieties, and Algorithms, New York, Springer-Verlag, 1992.
7. C.B. Collins, J. Math. Anal. Appl. 259, 168 (2001).
8. W. Decker, G. Pfister, and H. A. Schonemann, Singular 2.0 library for computing the primary decomposition and radical of ideals primdec.lib, 2001.
9. G.-M. Greuel, G. Pfister and H. Schonemann, Singular 3.0. A Computer Algebra System for Polynomial Computations, Centre for Computer Algebra, University of Kaiserslautern, 2005.
10. A. Jarrah, R. Laubenbacher, and V. G. Romanovski, J. Symb. Comput. 35, 577 (2003).
11. Yu. Ilyashenko and S. Yakovenko, Lectures on analytic differential equations, Graduate Studies in Mathematics, vol. 86, American Mathematical Society, Providence, 2008.
12. J.S.W. Lamb and J. A. G. Roberts, Phys. D 112, 1 (1998).
13. Y.-R. Liu and J.-B. Li, Sci. China Series A 33, 10 (1990).
14. P. Mardesic, D. Marin, J. Villadelprat, J. Differential Equations 224, 120 (2006).
15. V.G. Romanovski, Progr. Theoret. Phys. Suppl. 150, 243 (2003).
16. V. G. Romanovski and D. S. Shafer, Time-reversibility in two-dimensional polynomial systems, in: Differential Equations with Symbolic Computations. Trends in Mathematics, D. Wang and Z. Zheng, eds., Birkhauser, 2005, pp. 67-84.
17. T. Shimoyama and K. Yokoyama, J. Symbolic Comput. 22, 247 (1996).
18. K. S. Sibirsky, Algebraic Invariants of Differential Equations and Matrices, Kishinev, Shtiintsa, 1976 (in Russian).
19. K. S. Sibirsky, Introduction to the Algebraic Theory of Invariants of Differential Equations, Kishinev, Shtiintsa, 1982 (in Russian), English transl.: Manchester University Press, 1988.
20. H. Zoladek, J. Differential Equations 135, 94 (1997).