arXiv Open Access 2015

Liouville integrability: an effective Morales-Ramis-Simó theorem

Ainhoa Aparicio-Monforte Thomas Dreyfus Jacques-Arthur Weil

Lihat Sumber

Abstrak

Consider a complex Hamiltonian system and an integral curve. In this paper, we give an effective and efficient procedure to put the variational equation of any order along the integral curve in reduced form provided that the previous one is in reduced form with an abelian Lie algebra. Thus, we obtain an effective way to check the Morales-Ramis-Simó criterion for testing meromorphic Liouville integrability of Hamiltonian systems.

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Penulis (3)

Ainhoa Aparicio-Monforte

Thomas Dreyfus

Jacques-Arthur Weil

Format Sitasi

APA MLA BibTeX

Aparicio-Monforte, A., Dreyfus, T., Weil, J. (2015). Liouville integrability: an effective Morales-Ramis-Simó theorem. https://arxiv.org/abs/1505.02808

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓