603 reputation
1427
bio website profs.du.ac.ir/info/taghavi
location Iran
age 43
visits member for 1 year, 2 months
seen Sep 15 at 14:31

I am interested in finding some new interpretations for:

"The number of limit cycles of a polynomial vector field"

In particular, I am interested in the following three questions:

Codimension of the range of certain linear operators

Limit cycles as closed geodesics(geodesiable flow)

The error in Petrovski and Landis' proof of the 16th Hilbert problem

When I was a PHD student, working on limit cycle theory, my supervisor encouraged me to learn the elements and basics of Noncommutative Geometry in order to find a possible new interpretation for the number of limit cycles of a vector field. He also suggested me to think about a possible relation between $H(2)$ and hyperbolic geometry.


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