title: Quasiperiodicity and transition to chaos
abstract: In coupled Lorenz systems, we find that the three-frequency quasiperiodcity exists in the finite parameter range robustly. We also find the period-doubling bifurcation of the torus and the quasiperiodic windows in superchaos. Based on the separation of the dynamics, corresponding explanations are given by making use of the synchronous dynamics.
authors.affiliation: The James Franck Institute, The University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637, USA.
authors.initials: J
authors.lastname: Yang