Chaos theory

field of mathematics about dynamical systems highly sensitive to initial conditions

idea that small causes can have large effects in complex or nonlinear dynamic systems

In fluid dynamics, turbulence or turbulent flow is fluid motion exhibiting chaotic changes in pressure and flow velocity. It is in contrast to laminar flow, which occurs when a fluid flows in parallel layers with no disruption between those layers.

Complexity characterizes the behavior of a system or model whose components interact in multiple ways and follow local rules, leading to non-linearity, randomness, collective dynamics, hierarchy, and emergence.

right|thumb|upright=1.5|Visual representation of a [[#Strange_attractor|strange attractor. Another visualization of the same 3D attractor is this video. Code capable of rendering this is available.]] 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 close enough to the attractor values remain close even if slightly disturbed.

mathematical quantity

mathematical constants

area of mathematics

branch of physics seeking to explain chaotic dynamical systems in terms of quantum theory

long term dynamical interactions that disrupt the Solar System

concept in physics

visualization of sudden behavior changes caused by small parameter changes

Transition space between order and disorder

process of fluid flow becoming turbulent

branch of mathematics about iteration of complex-valued functions

essay by James Gleick

method of creating a fractal, using a polygon and an initial point selected at random inside it

how patterns in nature, such as stripes and spots, can arise naturally and autonomously from a homogeneous, uniform state

scheduling error in public transport

pushforward on the space of measurable functions

1952 article by Alan Turing