Nonlinear harmonic oscillators

Journal of Physics A: Mathematical and General

Volumn 35, Issue 48, 2002, Pages 10365-10375

  Calogero, F ^a   Inozemtsev, V I ^b  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037032784     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/48/310     Document Type: Article

References (26)

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3. Calogero F 1998 Integrable and solvable many-body problems in the plane via complexification J. Math. Phys. 39 5268-91
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5. Calogero F and Françoise J-P 2000 Solution of certain integrable dynamical systems of Ruijsenaars-Schneider type with completely periodic trajectories Ann. Inst. Henri Poincaré 1 173-91
6. Calogero F and Françoise J-P 2001 Periodic solutions of a many-rotator problem in the plane Inverse Probl. 17 1-8
7. Calogero F 2002 Differential equations featuring many periodic solutions Geometry and Integrability (London Mathematical Society Lecture Notes, vol 295) ed L Mason and Y Nutku (Cambridge: Cambridge University Press)
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9. Calogero F 2002 Periodic solutions of a system of complex ODEs Phys. Lett. A 293 146-50
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11. Calogero F 2002 On modified versions of some solvable ODEs due to Chazy J. Phys. A: Math. Gen. 35 4249-56
12. Calogero F 2002 Solvable three-body problem and Painlevé conjectures Theor. Math. Phys. 133 1443-52
13. Calogero F and Sommacal M 2002 Periodic solutions of a system of complex ODEs. II. Higher periods J. Nonlinear Math. Phys. 9 1-33
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15. 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
16. Calogero F A solvable three-body problem in the plane Phys. Lett. A submitted
17. Calogero F and Françoise J-P 2002 Nonlinear evolution ODEs featuring many periodic solutions (submitted to the special issue of Theor. Math. Phys. containing the Proceedings of NEEDS 2002).
18. Calogero F 2003 Partially Superintegrable (Indeed Isochronous) Systems Are Not Rare: Proc. NATO Advanced Study Institute (Cadiz, Jun. 2002) (Kluwer: Dordrecht)
19. Bruschi M and Calogero F 2000 Solvable and/or integrable and/or linearizable N-body problems in ordinary (three-dimensional) space: I. J. Nonlinear Math. Phys. 7 303-86
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22. Inozemtsev V I 1990 Matrix analogues of elliptic functions Funct. Anal. Appl. 23 323-5 (Russian original 1989 funct. Anal. Pril. 23 81-2)
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25. Krichever I M 1981 The periodic non-Abelian Toda chain and its two-dimensional generalization (published as appendix (pp 82-9) to Dubrovin B A 1981 Theta functions and non-linear equations Russ. Math. Surv. 36 11-92 (Russian original 1981 Uspekhi Mat. Nauk 36 11-80))
26. Krichever I M 1981 The periodic non-Abelian Toda chain and its two-dimensional generalization (published as appendix (pp 82-9) to Dubrovin B A 1981 Theta functions and non-linear equations Russ. Math. Surv. 36 11-92 (Russian original 1981 Uspekhi Mat. Nauk 36 11-80))