Hoeffding's independence test for an ion dynamics characterization in the octupole trap

In the present work, we propose a rapid analysis of the trapped ion dynamics regimes. The Hoeffding's Independence Test (HIT) mapping technique has been considered as a promising approach for the detection of dynamic regimes. As a model problem, we have applied the proposed method to ion dynamics in an octupole ion trap. We compare the results of HIT mapping with the results of direct calculation of the non-trivial Lyapunov exponent. The HIT mapping result well agree with a Lyapunov exponent mapping. The computational time for plotting the HIT maps was significantly less than the computational time for plotting the Lyapunov exponent maps.