Ordinary differential equations (ODEs), difference equations and dynamical systems provide complementary frameworks for modelling the evolution of quantities in continuous or discrete time. ODEs ...

Nonlinear difference equations govern the evolution of variables in discrete time and underpin a wide range of dynamical systems across ecology, economics, engineering and beyond. Unlike linear ...

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, ...

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 ...

Example-oriented survey of nonlinear dynamical systems, including chaos. Combines numerical exploration of differential equations describing physical problems with analytic methods and geometric ...

A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, "Time-lagged recurrence: A data-driven method to estimate the predictability of ...