Discrete Painlevé equations: Coalescences, limits and degeneracies

Physica A: Statistical Mechanics and its Applications

Volumn 228, Issue 1-4, 1996, Pages 160-171

  Ramani, A ^a   Grammaticos, B ^b  

^a ECOLE POLYTECHNIQUE   (France)

^b UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; INTEGRATION; MATHEMATICAL TECHNIQUES; NUMERICAL ANALYSIS; NUMERICAL METHODS;

COALESCENCES; DEAUTONOMIZATION; DEGENARACIES; DISCRETE PAINLEVE EQUATIONS; INTEGRABLE DISCRETE SYSTEMS; LIMITS;

DIFFERENTIAL EQUATIONS;

EID: 0030164149     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4371(95)00439-4     Document Type: Article

References (15)

1. F.W. Nijhoff, V. Papageorgiou and H.W. Capel, Springer Lecture Notes in Mathematics, 1510 (1992) 312.
2. E. Brézin and V.A. Kazakov, Phys. Lett. B 236 (1990) 144.
3. B. Grammaticos and A. Ramani, Discrete Painlevé equations: derivation and properties, NATO ASI C 413 (1993) 299.
4. G.R.W. Quispel, J.A.G. Roberts and C.J. Thompson, Physica D 34 (1989) 183.
5. A. Ramani, B. Grammaticos and J. Hietarinta, Phys. Rev. Lett. 67 (1991) 1829.
6. P. Painlevé, Acta Math. 25 (1902) 1.
7. B. Grammaticos, A. Ramani and V.G. Papageorgiou, Phys. Rev. Lett. 67 (1991) 1825.
8. A. Ramani, B. Grammaticos and V.G. Papageorgiou, Singularity Confinement, Proc. Esterel '94 conference, to appear.
9. B. Grammaticos and B. Dorizzi, J. Math. Comp. Sim. 37 (1994) 341.
10. A.S. Fokas, B. Grammaticos and A. Ramani, J. Math. Anal. Appl. 180 (1993) 342.
11. A. Ramani and B. Grammaticos, to be published.
12. A. Ramani, B. Grammaticos and J. Satsuma, Bilinear discrete Painlevé equations, preprint (1995).
13. A. Ramani and B. Grammaticos, J. Phys. A 25 (1992) L633.
14. A. Ramani, B. Grammaticos and G. Karra, Physica A 181 (1992) 115.
15. B. Gambier, Acta Math. 33 (1910) 1.