Deterministic Brownian-like Motion: Electronic Approach

Brownian motion is a dynamic behavior with random changes over time (stochastic) that occurs in many vital functions related to fluid environments, stock behavior, or even renewable energy generation. In this paper, we present circuit implementation reproduces based on fully deterministic set of differential equations. The dynamics the electronic are characterized using four well-known metrics motion, namely: (i) Detrended Fluctuation Analysis (DFA), (ii) power law spectrum, (iii) normal probability distribution, and (iv) Mean Square Displacement (MSD); where traditional exhibits linear growth MSD, Gaussian ?2 frequency DFA values close 1.5. obtained results show for certain combination model, consistent expectations stochastic behavior. presented improves study by eliminating component, allowing reproducibility through equations, enabling generation physical signals (analog signals) Brownian-like properties potential applications fields such as medicine, economics, genetics, communications, name few.