Keywords:Seemingly random, chaotic dynamic systems have state variables that move about in a non-periodic, bounded fashion. The sensitivity to initial conditions of chaotic signals also holds an interesting pattern. A seemingly tiny change in the values of initial conditions, can greatly affect the values of the output. This means that cross-correlation of two chaotic signals from the same source can be very low. By nature, chaotic systems are required to be non-linear and dynamic systems.The behaviour of dynamic systems was modeled using MATLAB,with pertinent non-linearities.Various mathematical aspects were studied.Since differential equations are an integral part of modeling dynamic systems, finding solutions to differential equations using MATLAB programming was also done.Chaos, attractors, bifurcation diagram and non-linear dynamic systems.
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