In mathematics, physics, engineering and systems theory, a dynamical system is the description of how a system evolves in time.
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.
Self-organization, also called spontaneous order in the social sciences, is a process where some form of overall order arises from local interactions between parts of an initially disordered system. T
Self-organization in micron-sized Nb3O7(OH) cubes during a hydrothermal treatment at 200 °C. Initially amorphous cubes gradually transform into ordered 3D meshes of crystalline nanowires as summarized in the model below.
Birds flocking (boids in Blender), an example of self-organization in biology