Abstract:
The Duffing system and the nonlinear pendulum are a comparatively simple dynamical systems that can generate complex dynamics such as subharmonics, intermittency and chao...Show MoreMetadata
Abstract:
The Duffing system and the nonlinear pendulum are a comparatively simple dynamical systems that can generate complex dynamics such as subharmonics, intermittency and chaos. Both system has been used to model a variety of technical systems, where nonlinear oscillations occur. The dynamics can usually not be computed analytically but only simulated numerically. In this paper we provide a method to compute analytically exact bounds on the trajectories of the excited Duffing system and the nonlinear pendulum. These computations are carried out using quantifier elimination.
Published in: 2020 7th International Conference on Control, Decision and Information Technologies (CoDIT)
Date of Conference: 29 June 2020 - 02 July 2020
Date Added to IEEE Xplore: 27 November 2020
ISBN Information: