Before revision:  With the eigencycle set from the eigenvectors in  game  dynamics equations, we can have the accuracy increased by an order of magnitude on the dynamics testing .
After revision:  With the eigencycle set from the eigenvectors in game dynamics theory, the central approach is dynamics equations, however, its reality and accuracy is rare known, especially in high dimensional games. By develop a new approach, namely the eigencycle approach, with the eigenvectors from the game dynamics equations, we can have the accuracy increased by an order of magnitude on the dynamics testing .