UNUSUAL BEHAVIOR OF DISLOCATION VELOCITY EXPONENT IN DISLOCATION MULTIPLICATION MODEL

The chaotic behavior of dislocation multiplication process is investig ated. The change of Lyapunov exponent which is used to determine the s tability of quasi-periodic and chaotic behavior as well as that of equ ilibrium points and periodic solution is reported using an iteration m odel of dislocation multiplication. An unusual behavior of Lyapunov ex ponent and Feigenbaum exponent which respond to the geometric converge nce of orbit from bifurcation to chaos is shown by dislocation velocit y exponent m and there is a distinction on the tendency of convergence for the dislocation multiplication model when it is compared with log istic map. It is reasonable for the difference to be analyzed from the materials viewpoint.