P. Peplowski et F. Haake, RANDOM-MATRIX THEORY AND EIGENVECTOR STATISTICS OF DISSIPATIVE DYNAMICAL-SYSTEMS, Journal of physics. A, mathematical and general, 26(14), 1993, pp. 3473-3479
We investigate the predictions of random-matrix theory for eigenvector
statistics and compare them with numerical results obtained for the d
issipative periodically kicked top. Different types of statistics are
found. In contrast to conservative dynamics they are connected with th
e types of eigenvalue of the propagator rather than with the symmetrie
s of Hamiltonian evolution.