Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 81: Nonlinear Dynamics, Synchronization, Chaos II

DY 81.9: Talk

Friday, March 16, 2018, 12:15–12:30, BH-N 243

Measuring the information dimension in chaotic scattering — •Domenico Lippolis — Institute for Applied Systems Analysis, Jiangsu University, Zhenjiang, China

Measuring the fractal dimension of a non-attracting chaotic set embedded in the phase space of an open system is, in general, a challenging task to fulfill. While the existing box-counting techniques are designed for numerical estimations, they are largely impractical for an actual experiment. In the present contribution, the information dimension of a two-dimensional chaotic saddle is alternatively estimated by means of a numerical simulation of a scattering experiment, measuring the response of a cross section to perturbations (uncertainty function), which is, in principle, realizable in the laboratory. In addition, a theoretical argument relating the estimated uncertainty dimension to the conventional information dimension is provided. Generalization to partially absorbing systems such as optical or microwave cavities is also discussed.