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- W2000396310 abstract "Chaotic oscillations are useful in assessing the health of a structure. Hence, simple chaotic systems which can easily be realized mechanically or electro-mechanically are highly desired. We study a new piecewise linear spring-mass system. The chaotic behaviour in this system is characterized using bifurcation diagrams and the invariant parameters of the dynamics. We also show that there exists a stochastic analogue of this system, which mimics the dynamical features of its deterministic counterpart. This allows a greater flexibility in practical designs as the chaotic oscillations are obtained either deterministically or stochastically. Also, the oscillations are low dimensional, which reduces the computational resources needed for obtaining the invariant parameters of this system." @default.
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- W2000396310 date "2012-01-01" @default.
- W2000396310 modified "2023-10-16" @default.
- W2000396310 title "Chaotic oscillations in a piecewise linear spring-mass system" @default.
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- W2000396310 doi "https://doi.org/10.1063/2.1205302" @default.
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