The Wigner distribution, multi-equilibria nonlinear systems and chaotic behaviour

Abstract

The Wigner distribution and chaotic behavior of systems have recently received considerable attention: the Wigner-Ville distribution, due to its advantageous time-frequency plane representation of the signals; and the chaotic behavior of certain types of nonlinear system for apparently having a deterministic form. The authors bring the two together and apply the Wigner distribution to the analysis of nonlinear system response including both nonchaotic and chaotic systems. The procedure is based on simulation of time histories and the calculation of Wigner and pseudo-Wigner distributions.<>