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What is chaos theory?

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I mean i heard it allot but i haven't got deep into it yet

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  1. Chaos theory is the concept that all things in the universe, regardless of how remote, are interconnected. For instance according to chaos theory, a butterfly flapping its wings in Australia may cause a hurricane on the east coast of the United States.


  2. In mathematics, chaos theory describes the behavior of certain dynamical systems – that is, systems whose state evolves with time – that may exhibit dynamics that are highly sensitive to initial conditions (popularly referred to as the butterfly effect). As a result of this sensitivity, which manifests itself as an exponential growth of perturbations in the initial conditions, the behavior of chaotic systems appears to be random. This happens even though these systems are deterministic, meaning that their future dynamics are fully defined by their initial conditions, with no random elements involved. This behavior is known as deterministic chaos, or simply chaos.
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