Necessary Conditions for the Existence of Particular Algebraic First Integrals

Details Necessary Conditions for the Existence of Particular Algebraic First Integrals Necessary Conditions for the Existence of Particular Algebraic First Integrals

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..61...51l&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 61, Issue 1, pp.51-69

Astronomy and Astrophysics

Astronomy

Scientific paper

Existence of algebraic particular first integrals for a class of dynamical systems is discussed in connection with the nature of the singularities of solutions. It is shown that under some conditions, the existence of algebraic particular first integrals controls a quantity characterising a singularity (Kowaleveski's exponent) which can be calculated in a finite procedure. Four examples are given which illustrate how main theorems work.

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