HIGH-DIMENSIONAL CHAOS IN DELAYED DYNAMICAL-SYSTEMS

We introduce a general class of iterative delay maps to model high-dim ensional chaos in dynamical systems with delayed feedback. The class i ncludes as particular cases systems with a linear local dynamics. We r eport analytic and numerical results on the scaling laws of Lyapunov s pectra with a number of degrees of freedom. Invariant measure is compu ted through a self-consistent Frobenius-Perron formalism, which allows also a recalculation of the maximum Lyapunov exponent in good agreeme nt with the one measured directly.