A Note on Kowalevski Exponents and the Non-Existence of an Additional Analytic Integral

Details A Note on Kowalevski Exponents and the Non-Existence of an Additional Analytic Integral A Note on Kowalevski Exponents and the Non-Existence of an Additional Analytic Integral

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cemec..44..313y&link_type=abstract

Celestial Mechanics, Volume 44, Issue 4, pp.313-316

Physics

6

Scientific paper

In Hamiltonian systems with a homogeneous rational potential and two
degrees of freedom, the presence of imaginary Kowalevski exponents
implies the non-existence of an additional analytic integral, i.e.,
non-integrability of the system.

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