Chaos theory & butterfly Effect

CHAOS THEORY 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.BUTTERFLY EFFECTThe 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 energyof 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).The movie does Show " A Butterfly " flying accross the screen after the Tsunami Attcck, clearly indicating that the Tsunami is an Outcome of " The Butterfly effect ".ALSOOOOOOO........I said that the butterfly COULD cause a hurricane.That's a huge probability. Would be a negligible probability. NOT a huge one. if that were true, we would have cyclones on an hourly basis as butterflies keep flitting all over Africa and u don't have so many cyclones to account for a HUGE probability.Chaos,relativity and quantum mechanics are so damn weird that you will think I am talking metaphysics and pseudoscience.Like for example,according to quantum mechanics,there is a finite probability that you will fall right through a solid chair.And it is a PROBABILITY.Even 10 to the power -26 is finite :-) .But yes, Quantum Mechanics does allow for weird situations.THE CONNECTION !!!!!Guys check this link for a clear and complete explanationhttp://en.wikipedia.org/wiki/Chaos_theory http://en.wikipedia.org/wiki/Butterfly_effect