Some Comments on Signal Processing Analysis in Nonlinear Dynamics and Chaos

Resumo

Signal processing analysis in nonlinear dynamics applications is the main subject of this article, written
for overview comparing different time-frequency analysis methods applied to nonlinear mechanical systems. The
theory was carefully exposed and complemented with sample applications on mechanical vibrations and nonlinear
dynamics. A particular phenomenon that is also observed in nonlinear systems is the resonant capture and
Sommerfeld effect, which occurs due to the interaction between a non-ideal energy source and a mechanical
system. Another application is to characterize the chaotic dynamics of mechanical systems using signal processing
techniques. In addition, experimental and simulated signals are used that show the methods have high accuracy
for the analysis of nonlinear dynamics.