Resonant periodic solutions in regularized impact oscillator
Publication date
2021-07-15
Authors
Makarenkov, Oleg
Verhulst, Ferdinand
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Document Type
Article
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taverne
Abstract
We use a perturbation approach to prove the occurrence of asymptotically stable periodic solutions in a bilinear oscillator whose one spring has nearly infinite stiffness. This leads to a singularly perturbed problem where the classical theory does not apply.
Keywords
Asymptotic stability, Impact oscillator, Perturbation theory, Regularization, Resonant periodic solution, Taverne, Analysis, Applied Mathematics
Citation
Makarenkov, O & Verhulst, F 2021, 'Resonant periodic solutions in regularized impact oscillator', Journal of Mathematical Analysis and Applications, vol. 499, no. 2, 125035, pp. 1-17. https://doi.org/10.1016/j.jmaa.2021.125035