Chaos theory and butterfly effect

Pagi2 lagi boss dah skype aku :

Boss : morning

Boss: remember u ask me what is chaos theory n butterfly effect ...???

Boss: check da XXX communication email sent fr hong kong

Boss: hope u'll able to digest the info

Me: erm

Boss: :S

Boss: is alrite

Boss: dats why never read

Boss: action only big big

Me: nanti la still reading

Boss: takpe la

Me: wait

Boss: wakakka

Me: correct me if i'm wrong

Boss: if u dun understand ask A

Me: ok la

Boss: i explain nanti ... i'll be more confused ... wakakkakaa

Me: u always make me confused

Boss: not me ... u urself is confused dats why

Boss: yup u abt to explain somethin

Boss: wats ur definition?

Me: looking for the definition thru google

Me: :P

Boss: haiz

Me: explain in lay man term la

Me: i dun understand

Me: how to explain

Me: grrr

Boss: :x

Boss: in dat case

BOss: i oso dunno wat to say

Me: tak suka tau

Boss: wakakakkakaka

Me: later i ask A

Boss: he oso will be confused after explaining to u

Boss: wakakkakakaka

Me: i ask B

Boss: dun confuse her

Boss: pls

Me: omg

Me: then u explain to me la

Boss: its okie

Me: adoiii

Boss: i wanna safe my energy

Me: huh

Finally I found the meaning ( thanks to google ofcourse. hehe )

Chaos theory and butterfly effect

In mathematics, chaos theory describes the behavior of certain dynamical systems – that is, systems whose state evolves with time – that may exhibit dynamics that are highly sensitive to initial conditions (popularly referred to as the butterfly effect). As a result of this sensitivity, which manifests itself as an exponential growth of perturbations in the initial conditions, the behavior of chaotic systems appears to be random. This happens even though these systems are deterministic, meaning that their future dynamics are fully defined by their initial conditions, with no random elements involved. This behavior is known as deterministic chaos, or simply chaos.

Chaotic behaviour is also observed in natural systems, such as the weather. This may be explained by a chaos-theoretical analysis of a mathematical model of such a system, embodying the laws of physics that are relevant for the natural system.

The butterfly effect is a phrase that encapsulates the more technical notion of sensitive dependence on initial conditions in chaos theory. Small variations of the initial condition of a dynamical system may produce large variations in the long term behavior of the system. So this is sometimes presented as esoteric behavior, but can be exhibited by very simple systems: for example, a ball placed at the crest of a hill might roll into any of several valleys depending on slight differences in initial position.

The phrase refers to the idea that a butterfly's wings might create tiny changes in the atmosphere that may ultimately alter the path of a tornado or delay, accelerate or even prevent the occurrence of a tornado in a certain location. The flapping wing represents a small change in the initial condition of the system, which causes a chain of events leading to large-scale alterations of events. Had the butterfly not flapped its wings, the trajectory of the system might have been vastly different. Of course the butterfly cannot literally cause a tornado. The kinetic energy in a tornado is enormously larger than the energy in the turbulence of a butterfly. The kinetic energy of a tornado is ultimately provided by the sun and the butterfly can only influence certain details of weather events in a chaotic manner.

Recurrence, the approximate return of a system towards its initial conditions, together with sensitive dependence on initial conditions are the two main ingredients for chaotic motion. They have the practical consequence of making complex systems, such as the weather, difficult to predict past a certain time range (approximately a week in the case of weather).

Summary of the effect: everything happens for a reason, be it good or bad.

Paham tak? Hehe