Coefficient criterion for shil'nikov chaos: Application to a simple investment model

Eiji Tsuzuki, Shunsuke Shinagawa, Tomohiro Inoue

    研究成果: Chapter

    抄録

    This chapter (a) represents one of the conditions of the Shil'nikov theorem in terms of the coefficients of a characteristic equation, and (b) demonstrates the existence of chaos by applying the theorem to a simple investment model. To demonstrate the existence of chaos, we adopt a numerical method of combining a condition of the Shil'nikov theorem with Kopell and Howard's theorem. Consistently with our intuition, it is confirmed that the more active the firm's expectations about investment, the more complex the economic behavior.

    本文言語English
    ホスト出版物のタイトルBusiness Cycles in Economics: Types, Challenges and Impacts on Monetary Policies
    出版社Nova Science Publishers, Inc.
    ページ69-86
    ページ数18
    ISBN(印刷版)9781633215382, 9781633213227
    出版ステータスPublished - 2014 7 1

    ASJC Scopus subject areas

    • ビジネス、管理および会計(全般)

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