Tangent bundle viewpoint of the Lorenz system and its chaotic behavior

Takahiro Yajima, Hiroyuki Nagahama

研究成果: Article査読

12 被引用数 (Scopus)

抄録

A new geometric viewpoint of the Lorenz system is proposed based on a theory of tangent bundle. By introducing the geometrical viewpoints of second order system governed by Euler-Poincaré equation or Lie-Poisson equation, geometrical invariants of the Lorenz system can be obtained. Especially, a torsion tensor as one of geometrical invariants relates to the chaotic behavior characterized by the Rayleigh number, and results from the decomposition from the second order system to the tangent space (state space) and base space (configuration space).

本文言語English
ページ(範囲)1315-1319
ページ数5
ジャーナルPhysics Letters, Section A: General, Atomic and Solid State Physics
374
11-12
DOI
出版ステータスPublished - 2010 3 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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