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

Présenté par : Charles-Michel Marle

Petre Birtea1 ; Mircea Puta1
1 West University of Timişoara, Blvd. V. Parvan 4, Timişoara 300223, Timis, Romania
Comptes Rendus. Mathématique, Volume 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
Petre Birtea 1 ; Mircea Puta 1

1 West University of Timişoara, Blvd. V. Parvan 4, Timişoara 300223, Timis, Romania 
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Petre Birtea; Mircea Puta. On Ishii's equation. Comptes Rendus. Mathématique, Volume 341 (2005) no. 2, pp. 107-111. doi : 10.1016/j.crma.2005.06.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.06.010/

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

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

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

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

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