HOW DOES THE ASYMMETRY COEFFICIENTS DISTINGUISH BETWEEN THE ORDERED OR CHAOTIC ORBITS OF A DYNAMICAL SYSTEM

The "Asymmetry coefficients" due to Waz et al have been proved by them in the case of the damped driven pendulum to distinguish between regular and chaotic orbits of a dynamical system. The test is equally applicable to data generated from maps, ordinary differential equations and to the experimental data and have some useful advantages when is compared with other tests for chaos. Because we have thought that other numerical studies are necessary for a better understanding of the behavior of these indicators we applied them to other dynamical system, well-studied in the literature by means of accepted tools. In this paper we investigate the performance of the "Asymmetry coefficients" when applied to a coupled-single species population map and to the motion of a square prism in cross-flow and show that the test is straightforward to implement and performs extremely well.