Dynamical system
Videos
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.
Attractor
Videos
In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get c
Dynamical system
…system. For chaotic dissipative systems the choice of invariant measure is technically more challenging. The measure needs to be supported on the attractor, but attractors have zero Lebesgue measure and the invariant measures must be singular with respect to the Lebesgue measure. For dissipative systems…
Visual representation of a strange attractor. Another visualization of the same 3D attractor is this video. Code capable of rendering this is available.