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

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

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

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

[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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