GENERALToC


DYNAMICAL SYSTEMSTemporal Patterns Models & Simulation Structure & Behavior


What this chapter is all about… 

We may look at Dynamical Systems (a theme in mathematics, physics, the sciences and engineering) as a generalization of what we have done in the chapters on physical and chemical phenomena. There we have used concepts from systems science for learning about and dealing with natural and technical systems. Here we will take a look at what we have achieved from a mathematical perspective. We will learn about temporal patterns and strucutre and behavior of dynamical systems. 


Themes in Dynamical Systems… 

Visualization of time series. Transformation and interpolation of data. Rates of change, integrals, transported and produced quantities. Elements of dynamical models. Initial value problems and their general form. Numerical methods for IVPs. Fixed points and stability. Phase space geometry and nullclines. Linear and nonlinear models and deterministic chaos. And more… 

