Nonlinear dynamical systems and KCC-theory

Takahiro Yajima, Hiroyuki Nagahama

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

Nonlinear dynamical systems can be uniquely investigated by a geometric theory (KCC-theory). The five KCC-invariants express intrinsic properties of the nonlinear dynamical systems. The second invariant as a curvature tensor determines the stability of the systems. The third invariant as a torsion tensor expresses the chaotic behavior. As an example, the KCC-theory is applied to a geodynamical system (the Rikitake system).

Original languageEnglish
Pages (from-to)179-189
Number of pages11
JournalActa Mathematica Academiae Paedagogicae Nyiregyhaziensis
Volume24
Issue number1
Publication statusPublished - 2008 Aug 28
Externally publishedYes

Keywords

  • Finsler geometry
  • Nonlinear dynamical systems
  • Rikitate system, KCC-theory
  • Topological invariant

ASJC Scopus subject areas

  • Mathematics(all)

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