Morse-Bott Functions and their Applications

SpeakerDr. Dmitry Zenkov
Organization Dept. of Mathematics, North Carolina State Univ.
Location136 EGRC
Start Date November 11, 2004 2:00 PM
End Date November 11, 2004 4:15 PM

Morse functions are those that have only non-degenerate, and therefore isolated, critical points. Morse-Bott functions form a larger class: Critical points are not isolated, although they do satisfy a relaxed version of a non-degeneracy condition. In this talk the main properties of Morse-Bott functions will be reviewed. Applications to dynamical systems and visualization will be discussed.

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