Study of the chaotic vibration of the 2D non-strictly hyperbolic equation

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Venue:DM 100

Friday, February 10, 2 pm, DM 100

Prof. Jing Tian from University of South Florida.

Title: Study of the chaotic vibration of the 2D non-strictly hyperbolic equation

Abstract: In this talk, I will mainly discuss the chaotic vibration phenomenon of the 2D non-strictly hyperbolic equation due to an energy-injection boundary condition and a distributed self-regulation boundary condition. By using the method of characteristics, we give a rigorous proof of the chaotic vibration phenomenon of the 2D non-strictly hyperbolic equation. We have also found a regime of the parameters when the chaotic vibration phenomenon occurs by applying the period-doubling bifurcation theorem. Numerical simulations will be provided.