Dynamic systems

1. What is meant by dynamic system?
2. What is an example of a dynamic system?
3. What are the different dynamic systems?
4. How are dynamical systems used?

What is meant by dynamic system?

A dynamical system is a system whose state evolves with time over a state space according to a fixed rule. For an introduction into the concepts behind a dynamical system, see the idea of a dynamical system.

What is an example of a dynamic system?

A bathtub is a simple example of a dynamic system. Water flows into the tub through a faucet and leaves the tub through a drain. The faucet and the drain represent processes that are related because they both involve water moving into and out of the same reservoir, which is the tub itself.

What are the different dynamic systems?

Examples of dynamical systems include population growth, a swinging pendulum, the motions of celestial bodies, and the behavior of “rational” individuals playing a negotiation game, to name a few. The first three examples sound legitimate, as those are systems that typically appear in physics textbooks.

How are dynamical systems used?

Dynamical systems are mathematical objects used to model physical phenomena whose state (or instantaneous description) changes over time. These models are used in financial and economic forecasting, environmental modeling, medical diagnosis, industrial equipment diagnosis, and a host of other applications.