On modified versions of some solvable ordinary differential equations due to chazy

Journal of Physics A: Mathematical and General

Volumn 35, Issue 19, 2002, Pages 4249-4256

  Calogero, F ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037123978     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/19/306     Document Type: Article

References (14)

1. Chazy J 1909 Sur les équations différentielles dont l' intégrale générale est uniforme C. R. Acad. Sci., Paris 148 157-8
2. Calogero F 1997 A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic J. Math. Phys. 38 5711-19
3. Calogero F and Françoise J-P 2001 Periodic solutions of a many-rotator problem in the plane Inverse Problems 17 1-8
4. Calogero F 2001 Classical Many-Body Problems Amenable to Exact Treatments (Lecture Notes in Physics Monograph m 66) (Berlin: Springer)
5. Calogero F 2002 Periodic solutions of a system of complex ODEs Phys. Lett. A 293 146-50
6. Calogero F and Sommacal M 2002 Periodic solutions of a system of complex ODEs: H Higher periods J. Nonlinear Math. Phys. at press
7. Calogero F, Françoise J-P and Sommacal M 2002 Periodic solutions of a many-rotator problem in the plane. II: Analysis of various motions J. Nonlinear Math. Phys. Submitted
8. Calogero F 2002 A complex deformation of the classical gravitational many-body problem that features a lot of completely periodic motions J. Phys. A: Math. Gen. 35 3619-27
9. 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. 9 99-125
10. Calogero F and Françoise J-P 2002 Nonlinear evolution ODEs featuring many periodic solutions in preparation
11. Calogero F 2002 Differential equations featuring many periodic solutions Proc. Istanbul Course at press
12. Painlevé P 1900 Mémoire sur les équations differentielles dont l' intégral est uniforme Bull. Soc. Math. France 28 201-61
13. Chazy J 1911 Sur les équations différentielles du troisième ordre et d' ordre supérieur dont l' intégrale générale a ses points critiques fixes Acta Math. 34 317-85
14. Calogero F 2002 On a modified version of a solvable ODE due to Painlevé J. Phys. A: Math. Gen. 35 985-92