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Computation of Positively Invariant Sets of the Duffing System and the Nonlinear Pendulum under Bounded Excitation | IEEE Conference Publication | IEEE Xplore
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Computation of Positively Invariant Sets of the Duffing System and the Nonlinear Pendulum under Bounded Excitation


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 More

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.
Date of Conference: 29 June 2020 - 02 July 2020
Date Added to IEEE Xplore: 27 November 2020
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Conference Location: Prague, Czech Republic

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References

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