English: The figure shows an example of the study of a three-dimensional dynamical system described by a nonlinear system of ordinary differential equations^[1], by solving the equations using numerical method^[2], with the presentation of the results in a visual graphical form:

• graph of dependence of one of the variables describing the system on time for different values of system parameter
• image of the phase trajectory for various values of the system parameter
• 3D image of the phase trajectory (click on image)
• plot of Lyapunov exponents dependence on system parameter

Considering the values of the Lyapunov exponents, it can be seen, that for first value of the system parameter (c1=0.8) the phase trajectory of the system is a closed curve (limit cycle), since the largest Lyapunov exponent is zero and the rest are negative, i.e. the system oscillates periodically. For another parameter value (c1=2.5) the oscillations of the system are chaotic, and the phase trajectory tends to a strange attractor (the largest Lyapunov exponent is positive, their sum is negative)