  The scaling behavior of the maximal Lyapunov exponent in chaotic systems with
time-delayed feedback is investigated. For large delay times it has been shown
that the delay-dependence of the exponent allows a distinction between strong
and weak chaos, which are the analogy to strong and weak instability of
periodic orbits in a delay system. We find significant differences between
scaling of exponents in periodic or chaotic systems. We show that chaotic
scaling is related to fluctuations in the linearized equations of motion. A
linear delay system including multiplicative noise shows the same properties as
the deterministic chaotic systems.
