Seminars & Colloquia Calendar
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.