Chaotic motion versus stochastic excitation (Q1196728)

Consider the oscillator \(\ddot x+c\dot x+f(x)=a\sin(\omega t)\) where the restoring force \(f\) is symmetric and piecewise linear. This paper makes use of numerical simulations in order to guess the sensitivity of the solutions with respect to initial conditions in various regimes. The same numerical computations are also performed when one adds some random noise to the periodic force. Unfortunately, it seems that no conclusion can be deduced from these simulations\dots\ .