The study of dynamical systems governed by partial differential equations (PDEs) offers profound insights into the evolution of complex phenomena across physics, biology and engineering. In these ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

homework sets (assigned roughly bi-weekly during the semester). class participation (extra points for helping me to make this class a lively one) projects (written project due at the end of the ...

Use individual and team exercises to build skills for a dynamic systems approach. Engineered systems increasingly must exploit complex interactions between multiple domains—mechanical, electrical, ...

This chaotic-looking "double pendulum" follows a large number of rules that govern its motion. Researchers have trained AI to take data from its movements to uncover simple equations that successfully ...

A new AI developed at Duke University can uncover simple, readable rules behind extremely complex systems. It studies how systems evolve over time and reduces thousands of variables into compact ...

Why is this unit important? This unit introduces students to the qualitative study of the motion and structure of changing systems. Ordinary and partial differential equations are used to model ...

Why is this unit important? This unit introduces students to the qualitative study of the motion and structure of changing systems. Ordinary and partial differential equations are used to model ...