Essay On Chaos Theory

Most people enjoy the feeling of knowing what is going to happen in the next hour, tomorrow, or three years from now. Therefore the majority population follow a fixed schedule, create schedules, and plan for their futures. Because they know that if tasks in their lives are performed within certain time frames or ways, they can accomplish their objectives. In reality, we as people have always tried to plan and predict our futures. However, there is always the probability of a setback or something not going as we planned or expected. When things occur that are unpredicted these situations can describe the definition of chaos which means complete disorder or trying to find a pattern in a set of random data. Also in science it describes chaos
The early findings of chaos theory are traced back to Henri Poincare in 1900 where he worked on the three-body problem. This problem consisted of the motion among three objects in a shared gravitational pull. He discovered that there are orbits that do not recur at regular intervals and are not infinitely increasing nor move towards a fixed point. Later in history, many other mathematicians encountered the chaos theory within their research as well, such as Kolmogorov, Cartwright, Smale, Littlewood, and Birkoff . For example, Andrei Nicolaevitch Kolmogorov impacted the 20th century greatly and was known as a great mathematician . In 1954, he observed Poincare's work and with the help of V. Arnold and J. Moser, they were able to advance Poincare original work by concluding the Kolmogorov-Arnold-Moser theorem or KAM. This theorem describes the existence of quasi-periodic motions for three particles subject to Newtonian attraction. Therefore the knowledge of the chaos theory had later became more advanced, when linear theory could not be easily described just by observing the actions of experiments such as the logistic map. The development of the chaos theory was primarily processed from the electronic