Abstract
The equations describing the evolution of complex physical phenomena can be put into a number of categories. This separation depends on whether the changes in the physical observables are relatively slow, regular, and describable by simple analytic functions, or if the changes are rapid, irregular, and not predictable, and therefore describable by fractal functions. Historically this led to the two categories of dynamics: deterministic equations of motion and stochastic equations of motion. However, since the early 1960s it has become increasingly clear that these two categories are not mutually exclusive, so other ways to draw distinctions among phenomena have become more popular.
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West, B.J., Bologna, M., Grigolini, P. (2003). Fractional Randomness. In: Physics of Fractal Operators. Institute for Nonlinear Science. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21746-8_6
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DOI: https://doi.org/10.1007/978-0-387-21746-8_6
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