Chaos, complex transients and noise: Illustration with a Kaldor model

A. Dohtani, T. Misawa, T. Inaba, M. Yokoo, T. Owase

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In the present paper two-dimensional discrete Kaldor-type models are investigated. First, a sufficient condition for the existence of topological chaos of the model is derived analytically for a special parameter set. Second, the influences of noise on the Kaldor model are examined numerically. We show that noise may not only obscure the underlying structures, but also reveal the hidden structures, for example, the chaotic attractors near a window of chaos or the periodic attractors near a small chaotic parameter region.

Original languageEnglish
Pages (from-to)2157-2174
Number of pages18
JournalChaos, Solitons and Fractals
Volume7
Issue number12
DOIs
Publication statusPublished - Dec 1 1996
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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