The process of collision and accretion that formed planets and moons would have provided random perturbations even at the very beginning . talk ) 19 : 20, 5 September 2011 ( UTC)
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One of the path times is chosen at random, the momenta " p " are modified slightly into " p " + " ?p ", where " ?p " is a random perturbation consistent with system constraints, e . g . conservation of energy and linear and angular momentum.
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For systems which would be naturally considered as deterministic, it may be possible to inject an element of randomness, for instance by coupling to a fluctuating heat bath or by adding random perturbations to account for some elements of the simulation which are not modelled explicitly but which exist in the real system.
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Examples include tracking the quantity of water in a reservoir that is subject to both continuous inflows and outflows, as well as sudden storm events; and tracking the quantity of fuel in a space vehicle as it is subjected to random perturbations ( e . g ., component failures, extreme environmental conditions ).
