no. 2
Differential Geometry/Dynamical Systems
On Ishii's equation
[Sur l'équation d'Ishii]

Présenté par : Charles-Michel Marle

Birtea, Petre1 ; Puta, Mircea1
1 West University of Timişoara, Blvd. V. Parvan 4, Timişoara 300223, Timis, Romania
Comptes Rendus. Mathématique, Tome 341 (2005) no. 2, pp. 107-111.

On va étudier la dynamique de l'équation de Ishii en utilisant une réalisation Hamilton–Poisson de cette équation.

We will study the dynamics of Ishii's equation using its Hamilton–Poisson formulation.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.06.010
Birtea, Petre 1 ; Puta, Mircea 1

1 West University of Timişoara, Blvd. V. Parvan 4, Timişoara 300223, Timis, Romania 
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Birtea, Petre; Puta, Mircea. On Ishii's equation. Comptes Rendus. Mathématique, Tome 341 (2005) no. 2, pp. 107-111. doi : 10.1016/j.crma.2005.06.010. http://archive.numdam.org/articles/10.1016/j.crma.2005.06.010/

[1] Goriely, A. Integrability and Nonintegrability of Dynamical System, Adv. Ser. Nonlinear Dynam., vol. 19, World Scientific, 2001

[2] Ishii, M. Painleve property and algebraic integrability of single variable ordinary differential equations with dominants, Progr. Theor. Phys., Volume 84 (1990), pp. 386-391

[3] Lawden, D.F. Elliptic Functions and Applications, Appl. Math. Sci., vol. 80, Springer, 1989

[4] Libermann, P.; Marle, C.-M. Symplectic Geometry and Analytical Mechanics, Reidel, 1987

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