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.