The Use of Computers in Chaos Theory Expiraments
Chaos is unpredictable behavior arising in a realistic system because of great sensitivity to beginning circumstances. Chaos arises in active systems. If two very close starting points diverge even a tiny bit, their future behavior is eventually unpredictable.
Every change in the system will compound with time, so, very slight changes in the starting point can lead to enormously different outcomes. Also, because of the extreme disorder, predicting the future path of the system is practically impossible. The behavior is too sensitive to the conditions, so therefore it is always changing. Chaotic behavior, although appearing random, arises from a very hard basis and it is very sensitive to any disturbances.
The system the above paragraph is referring to can be anything. A set of equations is a system, as well as weather patterns. All systems display chaotic properties. For example, weather forecasts are never totally accurate. Even if the forecast is for the week or a day, it may be totally wrong. This is due to minor disturbances in airflow. Each disturbance may be minor, but the changes will increase and add up in time. Soon, the weather will be far different than what was expected.
These same chaotic traits apply to math. Certain sets of equations, for example, can be repeated many times, creating images called fractals. Often, fractal equations consist of only an X and Y variable and a few constants. Once the equations are repeated many times, and the results are plotted on a computer screen, incredibly complex images can be produced. These pictures, called fractals, exhibit all of the chaotic traits. They are very sensitive to small changes, they are unpredictable, and they appear chaotic, even though they were created using very straightforward, non-chaotic equations. Now, that brings us to chaos theory.
Chaos theory is a critical part of science, mathematics, art and computing. It proves that the way to express an unpredictable system is in representations of the behavior of a system. So, chaos theory, which many people believe is about unpredictability, is actually about predictability in many different systems. Chaos theory arose as scientists and mathematicians started to program numbers in the computer. They tried different ways of plotting and exploring equations to get different results. After investigating, the scientists found out many new ideas and discoveries.
A common example of chaos theory is known as the Butterfly Effect.
The Scientific Context of the Word Chaos In a scientific context, the word chaos has a slightly different
“Chaos theory proves that unpredictability is built into our daily lives.”(Crichton 313). Ian Malcolm’s words resolve the book, Jurassic Park, in a very absolute way. Throughout the book, Malcolm, spoke about chaos theory and his self proclaimed “Malcolm Effect” to explain his reasoning in his predictions. Ian Malcolm had predicted the demise of Jurassic Park even before its opening, as well as its multiple problems and difficulties. Malcolm’s theory is evidenced countless times throughout the story of Jurassic Park; dinosaurs are breeding, dinosaurs are escaping, and systems fail.
Indirectly through out his novel, Camus compares people who rely too much on their logic and rationality, versus those who accept that our world is confusing and unpredictable. Similar to his thinking, in “Crickets, Bats, Cats and Chaos” Lewis Thomas suggests that chaos stimulates the brain and actually suggests that even crickets or cats have thoughts during chaotic or unpredictable situations. Even though I have always seen chaos as a total lack of order, a desperate situation in which an individual loses control, Thomas gave me a new concept for chaos. He says that it emerges when a system is altered by a small change or small uncertainty in its interior; chaos is then the
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.
... in order to affect the world. Chaos becomes, by the end of the novel, nearly
According to this theory, if determinism is correct, based any individuals past and prior experiences there is only one future that is possible for that particular individual. There are two different types of determinism: Hard determinism and Soft determinism. Both types of determinism have the same principles; that every action that happens in an individual’s life is determined on a physical level and that all life events are determined by previous life events.
Henry Adams states “chaos was the law of nature; order was the dream of man”. This statement is clearly used in the novel Crossing to Safety by Larry Morgan, and how this was his belief. However, the novel of Crossing to Safety is filled with chaotic times that happen in Larry Morgan and his wife’s life. This same chaos also affects his close friends who had their own struggles in their lives. This paper will look at how order would not have better for these couples, and how this chaos caused the couples to lose their dream of order.
External factors, long-term pressure or abrupt events, such as natural disasters and accidents, and other psychological factors that lead patients to have mental problems. In conclusion, there are several reasons that can explain why people misbehave at times. Problem always appears to be easier than it supposes to be. People should not easily make a conclusion through the appearance. We should take the problem into deep consideration, and then find the true answers to address the problem.
The theory of determinism simply stated is the notion that all current events and everything we experience is determined by past occurrences and we have no control or freedom of choosing what happens in the future(McLeod). It is argued that determinism states that the future can predict and everything that has already happened in the past has an explanation to it. The predictability of events, however, is the principle and we can’t actually predict everything. It follows natural science laws to determine how predictable an occurrence is. If occurrence A is often followed by occurrence B, then A follows B, therefore if A occurs, the probability of B occurring can then be predictable. Several laws and statistical factors are ignored
Randomization, in the form of mutations, provides genetic variation. Evolution itself is not entirely a random process, but the mutations that have appeared throughout history are. Because of this, one would argue that with the summation of many mutations over time, evolution would inevitably create more randomization within the system resulting in an increase in disorder. In an isolated system, the overall entropy would undoubtedly increase following a series of mutations. Because of natural selection (the idea that an organism that is better suited to its environment will survive and produce more offspring than those organisms who are not), it can be said that chance mutations are not the only driving force behind evolution, thus evolution is not entirely a spontaneous process (Williams,
It can “learn and adapt to change over time” which can change the “structure of the system” (Clancy, Effken, Pesut, 2008). It contains twelve elements: autopoesis or self-regenerization, open exchange, participation in networks, fractals, phase transition between order and chaos, search for fitness peaks, nonlinear dynamics, sensitive dependence, attractors that limit growth, strange attractors of emergence, spirituality, and dissipative structures (Stackman, Henderson, & Bloch, 2006). The first element is autopoesis/self-regeneration.... ... middle of paper ... ... 325-338.
Unpredictability cannot be measured, nor can the unpredictability be removed, as that would violate Heisenberg’s uncertainty principle. Humans generally fall under this principle, for although humans might seem to violate Heisenberg’s principle, there is a general unpredictability to the causality of intentional human action. The same goes for divine action, and science cannot forbid either of these
Lord of the Flies is an intriguing novel about a group of English boys who are stranded on a remote island during World War II after their plane was shot down. The schoolboys quickly use the resources they find and create a temporary form of order. As they continue to stay on the island, their proper English ways quickly turn into savage like instincts. In William Golding’s, Lord of the Flies, Golding uses the conch, the Beast, leadership, murder, and fire to show that without rules there is chaos.
In Heart of Darkness, by Joseph Conrad, the strongest conflict is an internal conflict that is most prominently shown in Marlow and Kurtz. This conflict is the struggle between their image of themselves as civilized human beings and the ease of abandoning their morality once they leave society. This inability has a close resemblance to the chaos theory. This is shown through the contrast of Kurtz as told by others and the actuality of him and through the progression of Marlow's character throughout Heart of Darkness.
Looking at the world where we live everything in someway is connected. Our world is not simple and in fact consists of multiple complex systems. Some everyday examples of complex systems are the brain, immune system, insect colonies, and even social networks such as Facebook and twitter. So what exactly do all these have in common in order to be a complex system? First is the fact that each one has a large amount of simple components that work together by communication through signals without being under leadership. But not all systems are exactly the same so we can break it down further into chaotic systems, complex adaptive systems, and nonlinear systems. Chaotic systems differ in that they are non-linear and are sensitive to initial conditions. Therefore any uncertainty in the system will not produce an outcome that can be predicted later on. A good example of a chaotic system would be the stock market because the prediction of its outcome is unknown due to its sensitivity to initial conditions. Complex adaptive systems are just like they sound. They are capable of adapting to the environment such as the immune system. It’s white blood cells work together to recognize foreign bodies and create antibodies for future encounters.