On a modified version of a solvable ODE due to Painlevé

Journal of Physics A: Mathematical and General

Volumn 35, Issue 4, 2002, Pages 985-992

  Calogero, F ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036477801     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/4/310     Document Type: Article

References (10)

1. Painlevé P 1900 Mémoire sur les équations differentielles dont l'intégral est uniforme Bull. Soc. Math. France 28 201-61
2. Ince E L 1956 Ordinary Differential Equations (New York: Dover) (see in particular section 14.39)
3. Erdélyi A (ed) 1953 Higher Transcendental Functions vol 2 (New York: McGraw-Hill) (see in particular sections 13.16 and 13.8)
4. Calogero F 1997 A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic J. Math. Phys. 38 5711-19
5. Calogero F and Françoise J-P 2001 Periodic solutions of a many-rotator problem in the plane Inverse Problems 17 1-8
6. Calogero F 2001 Classical Many-Body Problems Amenable to Exact Treatments (Lecture Notes in Physics Monograph m 66) (Berlin: Springer)
7. Calogero F 2001 Differential equations featuring many periodic solutions Proc. Istanbul Course at press
8. Calogero F and Françoise J-P 2002 Periodic motions galore: how to modify nonlinear evolution equations so that they feature a lot of periodic solutions J. Nonlinear Math. Phys. at press
9. Calogero F 2001 Periodic solutions of a system of complex ODEs Phys. Lett. A at press
10. Calogero F, Françoise J-P and Sommacal M 2001 Periodic solutions of a many-rotator problem in the plane: II. Analysis of various motions J. Nonlinear Math. Phys. submitted