A Study Of Sensitive Dependence On Initial Conditions Based On Chaos Theory

Abstract

According to Chaos theory “Butterfly Effect” is the sensitive dependence on initial conditions, in which a small change at one place in a deterministic non-linear system can result in large differences in a later state. The name of the effect coined by Edward Lorenz, is derived from the theoretical example of a Hurricane formation being contingent on whether or not a distant butterfly had flapped its wings several weeks earlier. Flapping wings represent a small change in the initial condition of the system which causes the chain of events leading to large scale alteration of events. In this paper  studied the relevance of Butterfly Effect and found that it has several useful applications in Chaotic behavior of nature.