Examples for

# Dynamical Systems

Dynamical systems are a means of describing how one state evolves into subsequent states over the course of time. Oftentimes, dynamical systems exhibit chaotic and unpredictable behavior. Use Wolfram|Alpha's vast knowledge and computational power to explore concepts such as discrete- and continuous-time systems, control systems and fractals.

### Discrete-Time Dynamical Systems

Examine the iterates, limiting behavior, etc. of discrete systems.

#### Analyze the logistic map:

Compute, analyze and plot properties of models representing the behavior of a variety of control systems.

#### Analyze a transfer function model:

#### Analyze a state-space model:

### Continuous-Time Dynamical Systems

Find solutions, phase portraits, critical points, etc. of continuous dynamical systems.