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Analytic invariant curves for a second order difference equation modelled from macroeconomics under the Brjuno condition

Abstract In this paper, we investigate analytic invariant curves of a planar mapping which derives a second order difference equation modelled from macroeconomics under the Brjuno condition that is weaker… Click to show full abstract

Abstract In this paper, we investigate analytic invariant curves of a planar mapping which derives a second order difference equation modelled from macroeconomics under the Brjuno condition that is weaker than the Diophantine condition, and present analytic invariant curves by constructing uniformly convergent power series.

Keywords: difference; analytic invariant; macroeconomics; second order; condition; invariant curves

Journal Title: Journal of Difference Equations and Applications
Year Published: 2017

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