bio | website | profs.du.ac.ir/info/taghavi |
---|---|---|

location | Iran | |

age | 43 | |

visits | member for | 1 year, 5 months |

seen | 15 hours ago | |

stats | profile views | 1,805 |

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 $8$ questions:

elliptic operators corresponds to non vanishing vector fields

Codimension of the range of certain linear operators

Limit cycles as closed geodesics(geodesible flow)

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

Lifting a quadratic system to a non vanishing vector field on $S^{3}$ or $T^{1} S^{2}$

The Moyal action of a planar vector field

A question on "The weakened Hilbert 16th 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.** He also encouraged me to learn the elements of **Conley index theory** to find a possible relation to limit cycle theory.

Mathematics | 381 rep | 13 | |

MathOverflow | 284 rep | 1530 |

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