With the check box labeled calculate Divergence, you can activate the calculation of the average divergence. The divergence is calculated as the average over the trace of the Jacobian (see Lyapunov Exponents Calculation).

The method used to calculate the Lyapunov exponents is described in Lyapunov Exponents Calculation, where the meaning of the parameters "Orthonormalization interval" and "Overall time" are explained.

Lyapunov Task Dialog |

After clicking the Run button, COPASI will start the time course simulation in order to calculate the Lyapunov exponents. Once the calculation is finished, COPASI will jump to the Result window. The window shows the calculated Lyapunov exponents in a table and beneath the table it shows the sum of the calculated exponents. If you told COPASI to calculate the divergence as well, this will be shown underneath the Sum of Lyapunov Exponents display. If you told COPASI to calculate all Lyapunov exponents (as many as there are independent variables in the model), the sum of the exponents and the divergence should be equal; if it isn't COPASI will display a warning. Since the warning only makes sense if all exponents have been calculated, it will not be displayed otherwise. It is expected that the divergence and the sum differ in those cases.

Results for the Lyapunov Exponent Calculation |