Numerical verification of algebraic non-integrability for high dimensional dynamical systems

Hisa Aki Tanaka, Shin'ichi Oishi, Atsushi Okada

Research output: Contribution to journalArticlepeer-review

Abstract

The singular point analysis, such as the Painleve test and Yoshida's test, is a computational method and has been implemented in a symbolic computational manner. But, in applying the singular point analysis to high dimensional and/or 'complex' dynamical systems, we face with some computational difficulties. To cope with these difficulties, we propose a new numerical technique of the singular point analysis with the aid of the self-validating numerics. Using this technique, the singular point analysis can now be applicable to a wide class of high dimensional and/or 'complex' dynamical systems, and in many cases dynamical properties such as the algebraic non-integrability can be proven for such systems.

Original languageEnglish
Pages (from-to)1117-1120
Number of pages4
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE76-A
Issue number7
Publication statusPublished - 1993 Jul 1

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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