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 than the Diophantine condition, and present analytic invariant curves by constructing uniformly convergent power series.

Keywords:

• Difference equation
• analytic invariant curve
• construction
• Brjuno condition

AMS Subject Classifications:

• 39B12
• 58F08

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

This work was supported by the General item of Lingnan Normal University [ZL1505].