Time correlation calculation method based on delayed coordinates

Kai Morino, Miki U. Kobayashi, Syuji Mlyazaki

    研究成果: Article査読

    1 被引用数 (Scopus)


    An approximate calculation method of time correlations by use of delayed coordinate is proposed. For a solvable piecewise linear hyperbolic chaotic map, this approximation is compared with the exact calculation, and an exponential convergence for the maximum time delay M is found. By use of this exponential convergence, the exact result for M → ∞ is extrapolated from this approximation for the first few values of M. This extrapolation is shown to be much better than direct numerical simulations based on the definition of the time correlation function. As an application, the irregular dependence of diffusion coefficients similar to Takagi or Weierstrass functions is obtained from this approximation, which is indistinguishable from the exact result only at M = 2. The method is also applied to the dissipative Lozi and Hénon maps and the conservative standard map in order to show wide applicability.

    ジャーナルProgress of Theoretical Physics
    出版ステータスPublished - 2009 6

    ASJC Scopus subject areas

    • 物理学および天文学(その他)


    「Time correlation calculation method based on delayed coordinates」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。