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.
|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.|
|出版ステータス||Published - 2014 7 1|
ASJC Scopus subject areas