Adolfo W. Guzman
This work characterizes the structurally stable second order differential equations of the form where are periodic functions. These equations have naturally the cylinder as the phase space and are associated to the vector fields
We apply a compactification to as well as to to study the behavior at infinity. For , we define a set of that is open and dense and characterizes the class of structural differential equations as above.
Submitted April 29, 2004. Published August 9, 2004.
Math Subject Classifications: 37C20.
Key Words: Singularity at infinity; compactification; structural stability; second order differential equation.
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|Adolfo W. Guzman |
Departamento de Matematica
Universidade Federal de Vicosa
Campus Universitario CEP 36571-000. Vicosa - MG. Brasil
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