摘要
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 S^1 and the case on S^1 with the Diophantine condition but also considers the case of the eigenvalue at a root of the unity, which obviously violates the Diophantine condition.
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 S^1 and the case on S^1 with the Diophantine condition but also considers the case of the eigenvalue at a root of the unity, which obviously violates the Diophantine condition.
基金
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)
the fund of Key discipline of applied mathematics of Hechi University (200725)
