This article largely discusses complex systems as a subject of mathematics and the attempts to emulate physical complex systems with emergent properties. For other scientific and professional disciplines addressing complexity in their fields see the complex systems article and references.A
complex system is a damped, driven system (for example, a
harmonic oscillator) whose total energy exceeds the threshold for it to perform according to
classical mechanics but does not reach the threshold for the system to exhibit properties according to
chaos theory.