| Summary: | One of the axioms of the modern science states that, if one can identify an exact mathematical
description of a physical system, then a very detailed understanding of the system’s properties is
possible. A very accurate prediction of its future behavior would be also possible.
These assertions proved to be true only for particular cases and false for nonlinear systems. The
vast majority of natural phenomenon has a nonlinear behavior, completely different from the
idealized linear dynamics. It’s very clear that, an adaptation of the methods used for linear systems
analysis is not possible and hence the need for a new mathematical apparatus.
The paper aims at explaining these concepts and to analyze the behavior of two time series, one
corresponding to the currency exchange rate (Leu - Euro) and the other one to the Cambridge Bitcoin
Electricity Consumption Index (CBECI).
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