Matrix second-order differential equations and hamiltonian systems of quartic type

J. P. Françoise; O. Ragnisco

Annales de l'I.H.P. Physique théorique (1989)

  • Volume: 50, Issue: 3, page 369-375
  • ISSN: 0246-0211

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Françoise, J. P., and Ragnisco, O.. "Matrix second-order differential equations and hamiltonian systems of quartic type." Annales de l'I.H.P. Physique théorique 50.3 (1989): 369-375. <http://eudml.org/doc/76453>.

@article{Françoise1989,
author = {Françoise, J. P., Ragnisco, O.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {matrix differential equations; Hamiltonian systems},
language = {eng},
number = {3},
pages = {369-375},
publisher = {Gauthier-Villars},
title = {Matrix second-order differential equations and hamiltonian systems of quartic type},
url = {http://eudml.org/doc/76453},
volume = {50},
year = {1989},
}

TY - JOUR
AU - Françoise, J. P.
AU - Ragnisco, O.
TI - Matrix second-order differential equations and hamiltonian systems of quartic type
JO - Annales de l'I.H.P. Physique théorique
PY - 1989
PB - Gauthier-Villars
VL - 50
IS - 3
SP - 369
EP - 375
LA - eng
KW - matrix differential equations; Hamiltonian systems
UR - http://eudml.org/doc/76453
ER -

References

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  1. [A] M. Adler, Some Finite Dimensional Integrable Systems and Their Scattering Behavior; Commun. Math. Phys., Vol. 55, 1977, pp. 195-230. Zbl0366.58004MR478845
  2. [C] F. Calogero, Solution of the One-Dimensional n-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials, J. of Math. Phys., Vol. 12, 1973, pp. 419-436. Zbl1002.70558MR280103
  3. [F-W-M] A.P. Fordy, S. Wojciechowski and I. Marshall, A Family of Integrable Quartic Potentials Related to Symmetric Spaces, Phys. Letters, Vol. 1134, 1986, pp. 395- . 
  4. [F1] J.P. Françoise, Canonical Partition Functions of Hamiltonian Systems and the Stationary Phase Formula, Comm. Math. Physics, Vol. 117, 1, 1988, pp. 37-47. Zbl0665.58013MR946993
  5. [F2] J.P. Françoise, Symplectic Geometry and Integrable m-Body Problems on the Line, J. Math. Phys., Vol. 29, (5), 1988, pp. 1150-1153. Zbl0656.70007MR941035
  6. [K-K-S] J. Kazhdan, B. Kostant and S. Sternberg, Hamiltonian Group Actions and Dynamical Systems of Calogero type, Comm. Pure Appl. Math., Vol. 31, 1978, pp. 481-508. Zbl0368.58008MR478225
  7. [M] J. Moser, Various Aspects of Integrable Hamiltonian Systems, Proc. C.I.M.E. conf. held in Bressanone, 1978. Zbl0468.58011
  8. [I] V.I. Inozemtzev, On the Motion of Classical Integrable Systems of Interacting Particles in an External Field, Phys. Letters, Vol. 103A, 1984, pp. 316- . 
  9. [W] S. Wojciechowski, On Integrability of the Calogero-Moser System in an External Quartic Potential and Other Many-Body Systems, Phys. Letters, Vol. 102A, 1984, pp. 85- . MR743854

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