Truncated chaotic trajectories in periodically driven systems with largelyconverging dynamics

Dynamical properties of numerically truncated trajectories are discussed fo r periodically driven chaotic systems with largely converging dynamics. Var ious trajectories having different initial conditions can be contracted so close to each other that they are truncated into a single pseudotrajectory. it is more easily observed numerically if the driving frequency is lower. Driven by an exactly periodic force, a periodic pseudotrajectory is obtaine d. Its period can be quite short and independent of truncation error. (C) 2 000 Published by Elsevier Science B.V. All rights reserved.