The fact that a unique range is inadequate to define n, justifies reasonably the idea of introducing a further range ancillary to [DELTA]x able to represent in R the values of a second dynamical variable.

In principle the quantum uncertainty does not prevent knowing exactly one dynamical variable only; being the size of all ranges arbitrary by definition, one must admit even the chance [DELTA]x [right arrow] 0 that means local position of a particle exactly known.

admitting that both dynamical variable concur to describe any physical system, requires [[upsilon].

So, for infinitesimal changes dc and dv of the process parameters and of the dynamical variables dt and dx, the last equation reads [nabla] x J = [partial derivative]c/[partial derivative]t + c[nabla] x v, i.

However (7) cannot be entirely expressed in terms of g because the fundamental

dynamical variable is v.

However (16) cannot be entirely expressed in terms of g because the fundamental

dynamical variable is v.

As it is shown in Figure 1, the most important

dynamical variables are: the roll angle [[phi].

In order for chaos to occur in a physical system, there must be at least three

dynamical variables with at least one non-linearity in the equations of motion.

In the replicated data approach [43, 44, 45] every processor has a complete copy of all the arrays containing

dynamical variables for every particle.

The basic idea of these papers starts from a critical review of the concepts of positions and momenta of interacting particles in a quantum system, where the

dynamical variables are perturbed in a complex way by mutual interactions and change within appropriate ranges of values in agreement with boundary conditions like the minimum total energy.

Chaotic systems are usually represented by a parametric plot among the

dynamical variables.

2] (oscillatory behaviors) indicate classical correlations among the

dynamical variables, whereas weak variations of [|[PSI]|.