Abstract

Bifurcations in Huang's chaotic chemical reactor system leading from simple dynamics into chaotic regimes are considered. Following the linear stability analysis, the periodic orbit resulting from a Hopf bifurcation of any of the six fixed points is constructed analytically by the method of multiple scales across successively slower time scales, and its stability is then determined by the resulting final secularity condition. Furthermore, we run numerical simulations of our chemical reactor at a particular fixed point of interest, alongside a set of parameter values that forces our system to undergo Hopf bifurcation. These numerical simulations then verify our analysis of the normal form.

Thesis Completion

2018

Semester

Spring

Thesis Chair

Choudhury, Roy

Degree

Bachelor of Science (B.S.)

College

College of Sciences

Department

Mathematics

Location

Orlando (Main) Campus

Language

English

Access Status

Open Access

Release Date

5-1-2018

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