Chaos as a basis of new principle for detecting the gravitational waves

Abstract

A particular example of chaos can be conceived in the interaction of non-linear oscillator with a harmonic gravitational wave. When we replace the linear potential forces by the therm SIN(x), the type of solution becomes subject to external perturbation. Although the perturbation produced by the gravitational wave is weak the standard estimations allow to predict the appearance of chaos at definite range of parameters. This qualitative change in the character of motion immediately detects the fact of impact with gravitational wave. Another advantage relates to a broad range of frequencies so that the narrow resonance band is not required.