Acta mathematica scientia, Series B >
ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION
Received date: 2006-12-13
Revised date: 2007-03-15
Online published: 2009-03-20
Supported by
Project supported by the Fund of Educational Reform Project of Guangxi Province of China (200710961), the Scientific Research Foundation of the Education Department of Guangxi Province of China (200707MS112), the Natural Science Fund of Hechi University (2006N001), and the fund of Key discipline of applied mathematics of Hechi University (200725)
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.
Wang Wusheng . ANALYTIC INVARIANT CURVES OF A NONLINEAR SECOND ORDER DIFFERENCE EQUATION[J]. Acta mathematica scientia, Series B, 2009 , 29(2) : 415 -426 . DOI: 10.1016/S0252-9602(09)60041-2
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