Memristive chaotic oscillator has significant application value in multiple industrial fields. In this study, based on three piecewise linear functions and a new nonlinear memristor, we first develop a new extremely multistable grid-scroll memristive chaotic oscillator, and applied it to acoustic signal detection. The model can produce n × <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" x