Non-integrable systems with algebraic singularities in complex time

T. Bountis, L. Drossos, I. C. Percival

Research output: Contribution to journalArticle

14 Citations (Scopus)

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 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.

Original languageEnglish
Article number011
Pages (from-to)3217-3236
Number of pages20
JournalJournal of Physics A: Mathematical and General
Volume24
Issue number14
DOIs
Publication statusPublished - 1991
Externally publishedYes

Fingerprint

Singularity
Non-integrability
Painlevé
Branch
Clustering
Evidence

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Non-integrable systems with algebraic singularities in complex time. / Bountis, T.; Drossos, L.; Percival, I. C.

In: Journal of Physics A: Mathematical and General, Vol. 24, No. 14, 011, 1991, p. 3217-3236.

Research output: Contribution to journalArticle

Bountis, T. ; Drossos, L. ; Percival, I. C. / Non-integrable systems with algebraic singularities in complex time. In: Journal of Physics A: Mathematical and General. 1991 ; Vol. 24, No. 14. pp. 3217-3236.
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