Advanced Topics in Nonlinear Dynamics (465-0-1)

Instructors

Istvan Kovacs

Meeting Info

Technological Institute LG68: Tues, Thurs 11:00AM - 12:20PM

Overview of class

This class introduces problems in complex systems, including disordered systems and complex networks in physics, biology and social systems. We will focus on the emergence of functional behavior from microscopic interactions as well as on the appearance of phase transitions. We will cover key models of heterogeneous systems and networks, their connections to real life applications and strategies to solve them.

Registration Requirements

Open to undergraduate and graduate students. No Prerequisites.

Learning Objectives

Students will receive an overview and understanding of the behavior of complex systems and networks and will learn key insights and computational skills for solving problems in that field.

Teaching Method

Pedagogical classroom lectures, solving advanced problems as homework.

Evaluation Method

Grades are mostly based on projects related to the course lectures. Homework problems will be a combination of analytical problem solving and python programming.

Class Materials (Required)

Lecture notes will be provided. Research papers will be assigned for reading and can be downloaded from the internet. Python is available as a free download. Most of the course materials are partially covered in the freely accessible textbook:
A-L. Barabási: Network Science
Additional materials will be used from the textbook: M. Newman: Networks, as well as from seminal papers.