材料期刊网

The chaotic behavior of dislocation multiplication process is investigated. The change of Lyapunov exponent which is used to determine the stability of quasi-periodic and chaotic behavior as well as that of equilibrium points and periodic solution is reported using an iteration model of dislocation multiplication. An unusual behavior of Lyapunov exponent and Feigenbaum exponent which respond to the geometric convergence of orbit from bifurcation to chaos is shown by dislocation velocity exponent m and there is a distinction on the tendency of convergence for the dislocation multiplication model when it is compared with logistic map. It is reasonable for the difference to be analyzed from the materials viewpoint.