Time-dependent deterministic sampling

Molecular dynamics simulation is basically very straightforward. It is a deterministic method in which the system follows a well defined trajectory in phase space. It is the only rehable method for examining time-dependent properties. Assuming the applicability of classical mechanics, it involves the simultaneous solution of the equations of motion for a small sample of particles interacting according to a predetermined force field and fixed conditions. 

In many random vibration problems, the mean is constant and is thus easily estimated and removed from the signal (sample-mean adjusted signal). The case of a time-dependent mean (also referred to as deterministic trend) may be treated via proper techniques, such as curve fitting, high-pass filtering, or special parametric models (such as integrated models with a deterministic trend parameter (Box et al. 1994)). 

The name chaos is a misnomer for something that is not chaotic, anarchistic, or confused. Chaos is, instead, a term used to mean a response that appears to be random but which, in reality, is deterministic. As an example of this (Liebovitch, 1998), consider the case jc +, = 3.95x (l - x ). In this example, the value of jc at any sample time (n + 1) depends on the value of X at the previous sample time ( ). 

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