  We develop the Bohl spectrum for nonautonomous linear differential equation
on a half line, which is a spectral concept that lies between the Lyapunov and
the Sacker--Sell spectrum. We prove that the Bohl spectrum is given by the
union of finitely many intervals, and we show by means of an explicit example
that the Bohl spectrum does not coincide with the Sacker--Sell spectrum in
general. We demonstrate for this example that any higher-order nonlinear
perturbation is exponentially stable, although this not evident from the
Sacker--Sell spectrum. We also analyze in detail situations in which the Bohl
spectrum is identical to the Sacker-Sell spectrum.

Dynamical Systems