# Study of the Dynamic Behavior of the Rossler System

Study of the Dynamic Behavior of the Rossler System

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

dx

dt

dy

dt

dz

dt

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.

a

b

c

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.

a=b=0.2

c=10

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.

a=b=0.2

c=1