A complex deformation of the classical gravitational many-body problem that features many completely periodic motions

Journal of Physics A: Mathematical and General

Volumn 35, Issue 16, 2002, Pages 3619-3627

  Calogero, F ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037177779     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/16/304     Document Type: Article

References (15)

1. Calogero F 1997 A class of integrable Hamiltonian systems whose solutions are (perhaps) all completely periodic J. Math. Phys. 38 5711-9
2. Calogero F 2000 Tricks of the trade: relating and deriving solvable and integrable dynamical systems Proc. Workshop on Calogero-Moser-Sutherland Models (Montreal, 1997) (CRM Series in Mathematical Physics) ed J F van Diejen and L Vinet (Berlin: Springer) pp 93-116
3. Calogero F 1998 Integrable and solvable many-body problems in the plane via complexification J. Math. Phys. 39 5268-91
4. Calogero F and Françoise J-P 2000 Solution of certain integrable dynamical systems of Ruijsenaars-Schneider type with completely periodic trajectories Ann. Henri Poincaré 1 173-91
5. Calogero F 2001 The neatest many-body problem amenable to exact treatments (a goldfish?) Physica D 152/153 78-84
6. Calogero F and Françoise J-P 2001 Periodic solutions of a many-rotator problem in the plane Inverse Problems 17 1-8
7. Calogero F, Françoise J-P and Sommacal M Periodic solutions of a many-rotator problem in the plane. II: analysis of various motions, in preparation
8. Calogero F 2001 Classical Many-Body Problems Amenable to Exact Treatments (Lecture Notes in Physics Monograph 66) (Berlin: Springer)
9. Calogero F 2002 Periodic solutions of a system of complex ODEs Phys. Lett. A 293 146-50
10. Calogero F and Sommacal M 2002 Periodic solutions of a system of complex DDEs. II: higher periods J. Nonlinear Math. Phys. submitted
11. Calogero F Differential equations featuring many periodic solutions Proc. Istanbul Course at press
12. 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
13. Calogero F 2002 On a modified version of a solvable ODE due to Painlevé J. Phys. A: Math. Gen. 35 985-92
14. Calogero F 2002 On modified versions of solvable ODEs due to Chazy J. Phys. A: Math. Gen. submitted
15. Ince E L 1956 Ordinary Differential Equations (New York: Dover) (see in particular section 12.21)