Periodic solutions of a system of complex ODEs. II. Higher periods

Journal of Nonlinear Mathematical Physics

Volumn 9, Issue 4, 2002, Pages 483-516

  Calogero, F ^a,b   Sommacal, M ^b  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^b INFN SEZIONE DI ROMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036436207     PISSN: 14029251     EISSN: None     Source Type: Journal    
DOI: 10.2991/jnmp.2002.9.4.9     Document Type: Article

References (11)

1. Calogero F., Periodic Solutions of a System of Complex ODEs, Phys. Lett. A 293 (2002), 146-150.
2. Calogero F., Many-Body Problems Amenable to Exact Treatments, Springer Lecture Notes in Physics Monograph, Vol. m66, 2001.
3. Calogero F. and Françoise J-P, Periodic Motions Galore: How to Modify Nonlinear Evolution Equations So That They Feature a Lot of Periodic Solutions, J. Nonlin. Math. Phys. 9 (2002), 99-125.
4. Calogero F., Differential Equations Featuring Many Periodic Solutions, in: Geometry and Integrability, Edited by L. Mason and Y. Nutku, London Mathematical Society Lecture Notes Vol. 295, Cambridge Universiity Press (in press).
5. Calogero F., Françoise J-P and Sommacal M., Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motion, J. Nonlin. Math. Phys. (in press).
6. Sommacal M., Studio con tecniche numeriche ed analitiche di problemi a molti corpi nel piano, Dissertation for the "Laurea in Fisica", Department of Physics, University of Rome "La Sapienza", 2002.
7. Sommacal M., A Property of the Calogero-Moser System, Phys. Lett. A (submitted to).
8. Calogero F., The "Nearest" Many-Body Problem Amenable to Exact Treatments (a "Goldfish"?), Physica D 152-153 (2001), 78-84.
9. Calogero F., Three Solvable Many-Body Problems in the Plane, Acta Applicandae Mathematicae 51 (1998), 93-111.
10. Jacobi C., Problema trium corporum mutuis attractionibus cubis distantiarum inverse pro-portionalibus recta linea se moventium, in Gesammelte Werke, Vol. 4, Berlin, 1866, 533-539.
11. Khandekar D.C. and Lawande S.V., Solution of a One-Dimensional Three-Body Problem in Classical Mechanics, Amer. J. Phys. 40 (1972), 458-462.