Analysis of aperiodic and chaotic motions in a switched reluctance linear motor

This paper deals with a nonlinear dynamics analysis of strange attractors stemming from a switched reluctance linear motor (SRLM). This is the first stepping to provide a complete dynamic characterization of the real prototype whose data will be analyzed in the next stage of this work. This paper defines, by comparison, the most precise algorithm to estimate the Lyapunov exponents from the ODE´s system. Bifurcations and chaos are simulated using a simplified dimensionless dynamical model. Fractal dimensions are computed both for computed data and for an embedded attractor. The fractal analysis is completed by the computation of Lyapunov exponents. These theoretical analyses are of the most importance for validating the analysis methodology before applying it to experimental data.