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• W2078018827 abstract "Abstract We propose a novel method to derive an autonomous system of ordinary differential equations from an experimental time series. This model describe quantitatively transient behaviour of a system with limit-cycle dynamics and is simplified to an evolution equation for the amplitude and frequency, the Landau equation. In addition, the model is used for a qualitative prediction of the influence of periodic excitation on the experimental system using the van der Pol transformation and Floquet theory. In particular, the instability of the locking solution, including the Hopf bifurcation, the intermittency scenario and the period-doubling cascade, is considered. The method of constructing a differential equation from an experimental time signal is successfully applied to a velocity fluctuation of the laminar periodic wake behind a circular cylinder." @default.
• W2078018827 created "2016-06-24" @default.
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• W2078018827 date "1992-06-01" @default.
• W2078018827 modified "2023-09-27" @default.
• W2078018827 title "Construction and analysis of differential equations from experimental time series of oscillatory systems" @default.
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• W2078018827 doi "https://doi.org/10.1016/0167-2789(92)90178-p" @default.
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