Explaining the Chaos Theory Essay

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Chaos Theory Chaos theory is a modern development in the math and science field to provide a frame work for understanding the irregular fluctuations in nature. Chaos is typically defined as mathematical property of the dynamic system. The study of their dynamics is an essential part of the growing science of complexity. There are some examples that explained what the chaos theory is like “the butterfly effect” and the “pendulum swing” that show an erratic behavior of the chaos theory. To understand the chaos theory’s principles of that underlie pattern of all real systems; they research from the ecosystems to the social systems to the universe as a whole. It is defined to show sensitivity to initial conditions. When the initial conditions …show more content…
In dynamic system, they are described by having a very dense collection of points in periodic orbits and topologically transitive. It is being complex to initial condition of the dynamic system, a property that is known as “the butterfly effect.” However, there are chaotic system that does not have periodical orbits because they have to survive the boundaries KAM tori and sufficiently for a strong perturbations from the case. The terms “chaotic dynamics” refer to only the evolution of the system through time like the butterfly effect. To emphasize, the dynamical system in the chaos theory displays a sensible dependence on the initial conditions on random appearances followed by the evolution that phases through space. In chaos theory, the butterfly effect was used to determine the nonlinear system that can result in huge differences in later state which looks like the Lorenz attractor. The butterfly effect happens in the weather processes to have strong dependence on the outcome and very slightly different from the initial conditions. In 1963, Edward Lorenz, studied convection in the Earth’s atmosphere; he described the fluid dynamics are difficult to solve and simplified them drastically by using the Navier-Strokes equations. There are only 3 parameters in the model of each pint that symbolize the states of the atmosphere. The two conditions of the atmosphere that are extremely close will rapidly evolve differently and

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