Non-integrability of ABC flow

We investigate the ABC flow when A 2= B 2, and we prove that this system does not admit a meromorphic first integral when ABC≠0. Moreover, for C 2/ A 2

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Bibliographic Details
Published in:Physics letters. A 2002-10, Vol.303 (4), p.265-272
Main Authors: Maciejewski, Andrzej J., Przybylska, Maria
Format: Article
Language:English
Subjects:
ABC flow
Differential Galois group
Differential Galois theory
Monodromy group
Ziglin theory
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Description
Summary:We investigate the ABC flow when A 2= B 2, and we prove that this system does not admit a meromorphic first integral when ABC≠0. Moreover, for C 2/ A 2
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(02)01259-8