Investigating non-integrability and chaos in complex time

Tassos Bountis

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The question of integrability of systems of ordinary differential equations (ODEs) has been studied extensively for centuries. Recently, however, owing to an upsurge of interest in chaos, a lot of studies have focused on the investigation of non-integrable systems, where chaos often manifests itself as "extremely sensitive dependence on initial conditions" of a dense set of real solutions in real time. Here, we argue that non-integrability can be efficiently investigated by solving ODEs in complex time and review recent results which strongly suggest that for a system of ODEs to be non-integrable it is necessary that it possess a dense set of infinitely-sheeted solutions in the complex domain.

Original languageEnglish
Pages (from-to)256-267
Number of pages12
JournalPhysica D: Nonlinear Phenomena
Volume86
Issue number1-2
DOIs
Publication statusPublished - Sep 1 1995
Externally publishedYes

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chaos
differential equations

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Investigating non-integrability and chaos in complex time. / Bountis, Tassos.

In: Physica D: Nonlinear Phenomena, Vol. 86, No. 1-2, 01.09.1995, p. 256-267.

Research output: Contribution to journalArticle

Bountis, Tassos. / Investigating non-integrability and chaos in complex time. In: Physica D: Nonlinear Phenomena. 1995 ; Vol. 86, No. 1-2. pp. 256-267.
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