Lorenz system as a filter Article uri icon

abstract

  • This work studies the behavior of the Lorenz system by exploiting the similarities between that chaotic system and a low-pass filter. Simulations and physical tests performed using highly precise electric circuits validate the proposed model. The study allowed us to conclude that it is possible to have a degree of control over the cutoff frequency of the filter, which in turn preserves chaotic oscillation. The bifurcation diagram and Lyapunov exponent are employed to confirm that the controllable parameters are in fact responsible for the desired effects and that changes on the cutoff frequency have no effect on the position of the equilibrium points of the system.

publication date

  • 2023-01-01