Periodic convergence in the discrete hungry Toda equation

You Takahashi, Masashi Iwasaki, Akiko Fukuda, Emiko Ishiwata, Yoshimasa Nakamura

研究成果: Article

抄録

In this paper, we clarify the periodic behaviour in the discrete hungry Toda (dhToda) equation, which is an extension of the famous integrable discrete Toda equation. The centre manifold theory, which is a classical analysis theory, plays a key role in analysing the dhToda equation. We first observe the asymptotic behaviour of the dhToda variable through a numerical example. We then discuss the existence of a centre manifold associated with the dhToda equation. Finally, we find this centre manifold and then analyse the asymptotic behaviour of the dhToda variable as the discrete-time variable goes to infinity.

元の言語English
記事番号344001
ジャーナルJournal of Physics A: Mathematical and Theoretical
51
発行部数34
DOI
出版物ステータスPublished - 2018 7 16

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

これを引用

Periodic convergence in the discrete hungry Toda equation. / Takahashi, You; Iwasaki, Masashi; Fukuda, Akiko; Ishiwata, Emiko; Nakamura, Yoshimasa.

:: Journal of Physics A: Mathematical and Theoretical, 巻 51, 番号 34, 344001, 16.07.2018.

研究成果: Article

Takahashi, You ; Iwasaki, Masashi ; Fukuda, Akiko ; Ishiwata, Emiko ; Nakamura, Yoshimasa. / Periodic convergence in the discrete hungry Toda equation. :: Journal of Physics A: Mathematical and Theoretical. 2018 ; 巻 51, 番号 34.
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