ZERO-DISPERSION NONLINEAR RESONANCE

A new type of non-linear resonance is reported. It possesses an unusua l counterintuitive feature, namely that: strong non-linear response to a weak periodic force can be obtained in the absence of exact resonan ce between frequency of the force and any eigenfrequency of the system . It is shown that the topology of phase trajectories differs substant ially from the ease of conventional non-linear resonance. The frequenc y of a driving force at which the transition between the conventional non-linear resonance and the zero-dispersion one takes place is found. Possible applications are discussed.