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Algebraic integrability and generalized symmetries of dynamical systems

✍ Scribed by G. Ünal

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
79 KB
Volume
260
Category
Article
ISSN
0375-9601

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✦ Synopsis

It has been shown that when an n-dimensional dynamical system admits a generalized symmetry vector field which Ž involves a divergence-free Liouville vector field, then it possesses n y 1 independent first integrals i.e., it is algebraically . integrable . Furthermore, the Liouville vector field can be employed for the classification of algebraically integrable dynamical systems. The results have been discussed on examples which arise in physics.

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