In Mathematics and according to Edward Lorenz ‘Chaos’ is defined as “When the present determines the future, but the approximate present does not approximately determine the future” and Chaos theory is that branch of mathematics that focuses on the behaviour pattern of the dynamical systems whose output changes every time based on the initial conditions. Even the smallest difference in the initial conditions could yield widely diverging outcomes. Even though these outcomes can be predicted it is impossible to do so without the exact initial conditions. This behaviour is known as deterministic chaos, or simply chaos.
The amount of time that the behaviour of a chaotic system can be effectively predicted depends on three things:
• The amount of uncertainty that can be tolerated in the forecast
• How accurately its current state can be measured
• A time scale depending on the dynamics of the system
The applications of chaos theory are present all around us from the weather patterns to the traffic change. An experimental model is that of a Double-rod Pendulum whose trajectory changes based on the starting conditions of the pendulum.
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