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- W4226075881 abstract "Abstract This article generalizes the implementation of higher order corrections to state transition matrices during instantaneous reversals in hybrid dynamical systems impacting a discontinuity boundary transversally. A closed form expression for saltation terms in systems possessing a degree of smoothness zero is derived. The difference in flight times of two closely initiated trajectories in state space to the impacting surface has been estimated up to O(2). A comparison of the times of impact estimated with the first order approximation reveals that higher order corrections lead to a significant improvement of estimates. Next, two new algorithms to estimate the Lyapunov spectrum and Floquet multipliers for piecewise-smooth systems have been presented using the derived second order corrections. Stability analyses are subsequently carried out using the proposed framework for two representative cases i.e., of a hard impact oscillator and a pair impact oscillator. It is established that the obtained Floquet multipliers and Lyapunov spectrum accurately predict the stability of the dynamical states, as validated by their corresponding bifurcation diagrams." @default.
- W4226075881 created "2022-05-05" @default.
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- W4226075881 date "2022-04-21" @default.
- W4226075881 modified "2023-10-16" @default.
- W4226075881 title "Stability analysis of hybrid systems with higher order transverse discontinuity mapping" @default.
- W4226075881 doi "https://doi.org/10.21203/rs.3.rs-1527114/v1" @default.
- W4226075881 hasPublicationYear "2022" @default.
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