Non Linear Dynamics

Complexity Theory is sometimes also known by the name non-linear dynamics, which is actually a more accurate description of what it is.

Linear dynamics describe simple systems that can be accurately predicted. For example Isaac Newton discovered the formula F=MA. This says that the force (F) can be calculated once we know M (the mass of the object in question) and A (the acceleration of the object in question). Since the mass of an object does not change, if we double the amount of force applied to an object, we will make it accelerate twice as fast (excluding the effects of friction), because 2xF = MxAx2.

Non-linear systems, on the other hand are not so predictable. A non-linear system includes parts (often in the millions and trillions) that are interacting intensely together, so the outcomes are not as straight forward. A small force may have an enormous effect on a non-linear system and an enormous force may have no effect at all.

Since non-linear dynamics are more unpredictable and difficult to work with, often scientists will assume a non-linear system is near enough to a linear system to just continue to use linear techniques to solve problems. Sometimes this will work, but sometimes such an approach will not be accurate and may be spectacularly wrong. With far more complex computers available to us today more and more of the secrets of non-linear systems is opening up for us.