*Generally, chaos is the study of forever changing complex systems based on mathematical concepts of recursion, whether in the form of a recursive process or a set of differential equations modelling a physical system.
*Contrary to popular belief, the chaos theory is not about disorder.
*One of the main concepts of the chaos theory is that while it is generally impossible to exactly predict the state of a system, it is usually quite possible to model the overall behaviour of the system.
*The theory predicts that complex nonlinear systems are naturally unpredictable, and often the way to express such an unpredictable system lies not in exact equations, but in representations of the overall behaviour of the system.
*The chaos theory lays emphasis on the universal behaviour of similar systems.
*The chaos theory dictates that minor changes can cause huge fluctuations. Small deviations from the original system multiply themselves repeatedly until numbers are entirely different to the original system. Therefore, both systems will have entirely different values at any given time, but the overall behaviour of the system will be the same.
*Representations can be made in plots of strange attractors or in fractals.
*It provides a tool with which to interpret scientific data in new ways.
*Chaos theory techniques have been used to model biological systems - everything from population growth to epidemics to arrhythmic heart palpitations.
*The stock market provides trends which can be analyzed with strange attractors more readily than with conventional explicit equations.
*A dripping faucet seems random but when plotted as a strange attractor, reveals an eerie order unexpected by conventional means.
*Chaos theory gives people a wonderfully interesting way to become more interested in mathematics.