An extension to fukuma and matsubara jump resonance criterion by the use of describing functions

The jump resonance criterion presented by Fukuma and Matsubara normalizes the non-linearity characteristic and restricts its derivative (with respect to the input) to lie within the sector 0 ¿ f´(e) ¿ 1. The region in which jump resonance can occur is localized in the domain near the origin in the inverse polar plane. As compared with the circle criterion which may also be applied in the study of jump resonance, this criterion is conservative. Based on the sector-bounded-non-linearity concept afforded by the circle criterion, the work of Fukuma and Matsubara has been extended and compared favourably with the circle criterion.