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Chaos Is A Modern Science That Changed The Way Scientists Look Into The World

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Chaos is a modern science that has changed the way scientists look to the world. It studies the behaviour of nonlinear systems according to their initial state. We can see chaotic behaviour almost everywhere. As an example, rising of cigarette smoke behaviour seems smooth at the beginning then suddenly it breaks into wild swirls. A flag moves back and forth in a chaotic way, a dripping faucet goes from a steady pattern to a random one. Chaos appears in the behaviour of the weather, the behaviour of world economics, and the behaviour of fluid turbulence. Despite the environment of the system, the behaviour follows the same newly discovered laws. The realization of chaos theory has begun to change the way we think about the future [1].
The chaos term introduced in the field of dynamics while studying the behaviour of nonlinear system that is essentially depends on its initial condition. Strogatz in his book defined the term Chaos as a periodic long-term behaviour in a deterministic system that exhibits sensitive dependence on initial conditions [2].
Logistic equation is an example of one dimensional attractor. In order for us to study complicated phenomena we have to understand higher order attractor functions. Henon attractor is an example of two-dimensional attractor. It was introduced by a theoretical astronomer Michel Henon while he was studying stars movement in space [2]. On the other hand, Lorenz system is three-dimensional system published in the Journal of

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