Title: Non-integrable systems with algebraic singularities in complex time
Abstract:Dynamical arguments are presented which suggest that there are non-integrable systems without clustering of singularities, without infinite singularities, or singularities with an infinite number of b...Dynamical arguments are presented which suggest that there are non-integrable systems without clustering of singularities, without infinite singularities, or singularities with an infinite number of branches in the complex t-plane. Several examples with only algebraic singularities are studied, for which strong numerical evidence is presented for non-integrability and infinitely sheeted solutions. 'Weak-Painleve' potentials are also analysed from this point of view, and all integrable cases are found to possess only finitely sheeted solutions.Read More
Publication Year: 1991
Publication Date: 1991-07-21
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 17
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