Mode fluctuation distribution of coupled quartic oscillators

摘要

The mode fluctuation distribution (MFD) of a system of two quartic oscillators coupled by a quartic pertur bation is numerically studied. The coupling strength serves as a control parameter to simulate the transition from integrable to chaotic regimes. It is demonstrated that even in this potential system the MFD turns out to be a very sensitive measure, as it manifests the same transformation seen in billiard systems. It is characterized by Gaussian and skewed distributions in the regions, known to be chaotic and integrable, respectively, from classical Poincare sections and quantum-mechanical level spacing statistics. In the intermediate regions where the KoI'mogoroV-Amol'd-Moser tori survive, the MFD has various distorted forms. [A1063-651X(98)04712-6]. [References: 15]