MATH112 CM - Introduction to Dynamical Systems and Chaos

Qualitative analysis of discrete dynamical systems in dimension one and higher is motivated and presented with examples taken from the recent research literature. These include mathematical models of biological processes, such as the 1988 Siphonius fillyreae – ash whitefly – infestation in Southern California and its control with Hymenoptera Aphelinidae, and the Hopfield model of Neural Networks. Quantitative analysis of the systems is performed using the symbolic manipulator Mathematica.

Prerequisite: MATH 032 CM

Offered: Every year

Credit: 1

Course Number: MATH112 CM