Abstract: In this paper, some analysis techniques of nonlinear dynamics are applied to physical systems which may be modeled by the Duffing nonlinear differential equation. The response of the Duffing oscillator to both deterministic ...

Abstract: This technical note outlines the treatment of a single-degree-of-freedom (SDOF) system containing statistically symmetric nonlinearities in both its stiffness characteristics and its excitation. Via equivalent statistical ...

Abstract: A summary is given of the development of two techniques for handling system and excitation nonlinearities: equivalent statistical quadratization and equivalent statistical cubicization. Depending upon the nature of a given ...