In mathematics, physics, engineering and systems theory, a dynamical system is the description of how a system evolves in time. The study of dynamical systems is the focus of dynamical systems theory.
Two pages of the Rudolphine tables showing eclipses of the Sun and Moon, data was collected from Tycho Brahe and published by Kepler
Bouncing ball dynamics: The motion is not quite parabolic due to air resistance.
An example of a Kármán vortex street, an emergent phenomenon from Fluid dynamics.
Orbital resonance in Saturn's rings.
Control theory is a field of control engineering and applied mathematics that deals with the control of dynamical systems. The aim is to develop a model or algorithm governing the application of syste
Dynamical system
…differential equations and ergodic theory, physics such as phase space, quantum state and thermodynamic state, engineering such as system theory, control theory and even information theory. From a mathematics perspective in the most general case the state space X is treated as a generic set of abstract algebra…
Centrifugal governor in a Boulton & Watt engine of 1788
Example of a single industrial control loop; showing continuously modulated control of process flow.