Local Integrability of Poincaré–Dulac Normal Forms

Author:

Yamanaka Shogo

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference29 articles.

1. Arnol’d, V. I., Geometrical Methods in the Theory of Ordinary Differential Equations, 2nd ed., Grundlehren Math. Wiss., vol. 250, New York: Springer, 1988.

2. Ayoul, M. and Zung, N.T., Galoisian Obstructions to Non-Hamiltonian Integrability, C. R. Math. Acad. Sci. Paris, 2010, vol. 348, nos. 23–24, pp. 1323–1326.

3. Bogoyavlenski, O. I., Extended Integrability and Bi-Hamiltonian Systems, Comm. Math. Phys., 1998, vol. 196, no. 1, pp. 19–51.

4. Brjuno, A.D., Analytic Form of Differential Equations: 1, Trans. Moscow Math. Soc., 1971, vol. 25, pp. 131–288; see also: Tr. Mosk. Mat. Obs., 1971, vol. 25, pp. 119–262.

5. Brjuno, A.D., Analytic Form of Differential Equations: 2, Trans. Moscow Math. Soc., 1972, vol. 26, pp. 199–239; see also: Tr. Mosk. Mat. Obs., 1972, vol. 26, pp. 199–239.

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