ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION

doi:10.1016/S0252-9602(09)60041-2

Abstract

Abstract:

This article studies the existence of analytic invariant curves for a nonlinear second order difference equation which was modeled from macroeconomics of the business cycle. The author not only discusses the case of the eigenvalue off the unit circle S¹ and the case on S1 with the Diophantine condition but also considers the case of the eigenvalue at a root of the unity, which obviously violates the Diophantine condition.

Key words: Difference equation, invariant curves, functional equation, analyticity, dio-phantine condition, majorant series

CLC Number:

39A10

Wang Wusheng. ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION[J].Acta mathematica scientia,Series B, 2009, 29(2): 415-426.

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ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION

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