Structural stability of polynomial second order differential equations with periodic coefficients

This work characterizes the structurally stable second order differential equations of the form $x''= sum_{i=0}^{n}a_{i}(x)(x')^{i}$ where $a_{i}:Re o Re$ are $C^r$ periodic functions. These equations have naturally the cylinder $M= S^1imes Re$ as the phase space and are associated t...

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Bibliographic Details
Main Author: Adolfo W. Guzman
Format: Article
Language:English
Published: Texas State University 2004-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/98/abstr.html