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 | |

stats | profile views | 1,247 |

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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