Jump resonance in nonlinear feedback systems--Part I: Approximate analysis by the describing-function method

The jump resonance in nonlinear feedback systems subject to a sinusoidal input is studied by use of the describing-function method. Introducing the concept of resonant response surface, sea and land parts are distinguished in the gain-frequency characteristics and the conditions for occurrence of jump resonance of three types, the inclined-peninsula type, the island type, and the lake type, are geometrically interpreted. The possibility of an island with some lakes is also indicated.