Dynamic Lyapunov Indicator: a practical tool for distinguishing between ordered and chaotic orbits in discrete dynamical systems

摘要

In the present paper our intention was to verify if the Dynamic Lyapunov Indicator (DLI), proposed recently by Saha and Budhraja as a new tool for distinguishing between ordered and chaotic orbits, gives correct conclusions when is applied to discrete dynamical systems. With this end in view, the behavior of the 2-D Lozi map, the 2-D predator prey map and the 3-D Lorentz BD map is analyzed with the help of DLI and, for comparison, with the help of Fast Lyapunov Indicator (FLI), a consecrated tool in chaos theory. Results obtained seem to qualify the DLI as a new indicator of chaos, at least for discrete dynamical systems.