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Research essay on chaos theory
Exmaple chaos theory
Exmaple chaos theory
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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 started out small, it will rapidly lead to growing error in any effort to predict the future’s behavior. Measurement is not indefinitely precise but the motions and the patterns should be observed where it should be. Therefore, chaos theory is a theory that develops in the math and science field to provide the understanding of frame work in the erratic fluctuations that is found in nature. In chaos theory in the math field, they have a dynamical system that determine the sensitive dependence on initial conditions on closed invariant points and they’re close together separately over time at the continuous rate. They are deterministic mathematical models that give unique evolution that changes in variables and describe the target system. They are considered as linear or nonlinear depending on the nature of the equation of motion in the relating target system. In the chaotic solution, the deterministic equation means a solution that will come out sensitive based on the initial conditions and the ... ... middle of paper ... ...ic system based on the initial conditions that leads to a continuous outcome in random. The butterfly effect and the pendulum show great examples of a chaos theory because of their unpredictable motion. Not to mention, the butterfly effect tells the butterfly wings are the initial conditions; and one flap of its wing could set a tornado in Kansas or Texas. It helps for the scientist to predict the weather pattern if they looked more closely. For the pendulum, it shows unpredictable motion when it’s pushed and swings freely. The pendulum has a limited cycle when there are two pendulums that bumps into each other and their dynamic system change it completely. Therefore, the chaos theory is defined as an erratic behavior in the dynamic system, looking for patterns in weather or graphs to understand the irregular fluctuations in nature and predicts the future behavior.
The development of the Chaos began with a computer and mathematic problems of random data that can calculate and predict patterns that repeat themselves. For example, it picks up the pattern of a person’s heart beat and the pattern of snowflakes hitting the ground. Researchers have found that the patterns may be viewed as “unstable”, “random” and “disorderly” they tend to mimic zig-zags, lightning bolts or electrical currents. This theory has not only been used by physicist, but has also been used by astronomers, mathematicians, biologists, and computer scientists. The Chaos Theory can be applied to predict air turbulence, weather and other underlying parts of nature that is not easily understood (Fiero, p.
Consequently, because no causal chains exist, neither could determinism. As a result of this, every choice an individual makes is independent of causal chains that could influence it in any way. For example, Louise, having already experienced significant portions of her life, has the ability to choose whether or not to give birth to her daughter. However, because this decision has no causal impact on the traditional idea of the future due to the nature of nonlinear time, it instead represents a completely liberated version of free will. This is a version in which choices have absolutely no influence over anything else; instead, all of the choices made in the traditional concepts of the past and future function together to give a singular output of a present moment, otherwise known as nonlinear time. However, this philosophy does pose many ethical and legal problems. If a choice does not directly define or influence its outcome, there is no standard by which an individual can be punished for making a wrong or criminal decision. This problem of free will could cause challenges in determining how harsh a punishment should be for a crime, if there should be a punishment at all, and could significantly problematize different forms of government and of legal
Throughout the events seen in Jurassic Park it is clear that it was chaos theory. Ian Malcolm had predictions before the park opened, he predicted the dangers and what ifs. The chaos theory was true, his predictions came true when
The Crucible by Arthur Miller was set in one of the most chaotic times in American history but not the last. In the 1950’s a similar haze of disarray fell on the people of America, in a period referred to as The Great American Red Scare. Like in The Crucible many were pressed and pressured to give names of the involved, whether it be witchcraft or “communist dealings”. Even highly respected of both societies were tried for a mere mentioning of there name. Then those who wouldn’t admit to the crime of which they were accused they were thrown in jail.
It teaches us to expect the unexpected. A famous example of chaos theory, referred to as the "butterfly effect, “postulates that the beat of a butterfly's wing could trigger a breath of breeze
Determinism is the theory that everything is caused by antecedent conditions, and such things cannot be other than how they are. Though no theory concerning this issue has been entirely successful, many theories present alternatives as to how it can be approached. Two of the most basic metaphysical theories concerning freedom and determinism are soft determinism and hard determinism.
And there is chaos theory; while this is in large measure about endless random happenings, they are nonetheless supposed to be contained within some overall scheme. The flap of a butterfly's wings may result in a hurricane a week later, but according to the theory, that is to be seen as a random event which triggers off something taking place within this wider context.
Dynamic Systems Theory (DST) is the combination of both the “Systems Theory” and the “Ecological Theory”. Systems Theory looks at the whole body as a mechanical system that is comprised of mass and is acted on by external and internal forces. The movement patterns are then dependent on the context and the result of the interplay between the body and the external forces acting on it. In order for the body to respond to the external forces and move in a particular pattern the
something that is going to happen no other options or alternatives. Like physics. Romeo and
Abstract: The following paper deals with the expanding world of the new science of chaos. Chaos is unique because it can be applied to all the core sciences, and more importantly it can be applied to subjects not considered to be science. The paper below deals with the evidence of chaos in literature and art, and how it functions in this world. While many aspects of the chaos present in art and literature are different from the science of chaos, some similarities still emerged and can be seen when examined closely. Chaos was found to be especially evident in the works of W.B. Yeats, John Milton, Wallace Stevens, William Blake, Jackson Pollock, and in the works of those involved in the Futurist Movement.
The most important concept for this idea is how the change in the flow of entropy would change human perception in any way. For this part of the paper I am going to start with explaining entropy and the universe, a human 's psychological abilities at telling time, and try to view how the human perception could be affected by the flip of the flow of entropy.
Determinism is the position that for every event there exist conditions that could cause no other event, exept for that specific event which
The first of these was Anaximandu's theory of change which relied heavily on mythology as a means to explain the natural world but soon the tides changed and a greater emphasis was sought in the area of systematic explanations. Then came Aristotelian view which influenced the founder of the Christian Church. The Aristotelian views influenced and molded the Christian Church philosophies and thus changes the world because of Christianities distribution to all cultures of the earth. It was this theoretical framework that gave the basic foundation necessary to conceptualize the process of societal change. It was the Medieval era that the change from the idea of organic, living and spiritual universes was replaced by the concept of the machine which became the lead foundation of the modern era. This framework is the basis for the revolutions made in physics and astronomy and contributed and effected the achievements of Copernicus, Galileo, and Sir Isaac Newton. This new framework was the a way of inquiry that included the mathematical description of nature and the analytical methods of reasoning which later influenced the works of Descartes. It was his theories that influenced the "Age of the Scientific Revolution." Descartes mathematics was thought to be the only method to explain the natural world and thus these methods prevailed and set the foundat...
We need theories that follow natural law, and references events observable in nature. To develop a theory that complements nature, we study nature and then extrapolate.
However, it has been shown through decades of research that behavioral events are not predictable. Researchers tend to conclude that if they are to truly understand behavior then they must be able to develop a system which allows them to forecast the occurrence of certain behavior patterns. Conversely, if they are unable to state consecutively when and why a pattern is presented then they have failed to understand the event. In order to retain a sense that the universe is orderly the unpredictable results are often explained through the fault of the experimenter, that adequate control was not kept over the experimental situation. Through the Harvard Law of Animal Behavior ("under carefully controlled experimental circumstances, an animal will behave as it damned well pleases.") these "failed" experiments are incorporated into a succinct postulate which allows for the exploration of reason and desirability of such unpredictability (1).