Study of the Dynamic Behavior of the Rossler System

This Demonstration presents the dynamic behavior of the Rossler system, which is governed by

For a particular selection of the model parameters , , and , you can observe periodic behavior, period doubling, or chaotic behavior. This Demonstration illustrates several important concepts of nonlinear dynamics, such as the time-series plot, phase-space diagram, power spectrum, and autocorrelation function plot.

For and , you can observe chaotic behavior, which is confirmed by the power spectrum diagram. The phase space diagram is that of a chaotic attractor.

For and , the power spectrum has few discrete bands, which confirms the periodic behavior. Also, a limit cycle is observed in the phase space diagram.