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Applied and Computational Math Seminar

Period doubling bifurcations from complex and algebraic point of view

Zin Arai, Chubu University

Location:  Room 425
Date & time: Friday, 07 February 2020 at 12:00PM - 1:00PM

Abstract: It is well known in one-dimensional dynamical systems that the period doubling bifurcations plays an essential role in the creation of chaos. In this talk, we will see that this is also the case for higher dimensional systems by studying the monodromy representation of the system and the dynamical zeta function. This is a first step to understand the mysterious topology of the higher dimensional analog of the Mandelbrot set.


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