 | Hi,
I have been wonder again about Hilbert's 16th problem and
was wondering if someone could provide me with some information.
There is a classification of 1st order ODE's WITHOUT a
MOVABLE critical singularity due to Fuchs and Poincare.
Now, I was wondering if anyone knew of a 1st order ODE,WITH
a MOVABLE critcial singularity, yet had limit cycles?
Could an example of this creature be posted to this site
with (if at all possible) a description of the solution set or even
better a first integral!
Finally, is there a classification of 1st order ODE's WITH a MOVABLE
critical singularity?
Kind Regards and Thanks in advance
Zelah
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