Abstract
A fundamental engineering problem is to determine the response of a physical system to an applied force. In this chapter some mathematical ideas are introduced that can be used to address a classic case of this problem where the physical system is an oscillator that is modeled by a differential equation with periodic orbits and the applied force is modeled as a small periodic perturbation. Partial answers to several important questions will be given.
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© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
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Chicone, C. (2024). Continuation of Periodic Solutions. In: Ordinary Differential Equations with Applications. Texts in Applied Mathematics, vol 34. Springer, Cham. https://doi.org/10.1007/978-3-031-51652-8_8
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DOI: https://doi.org/10.1007/978-3-031-51652-8_8
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Publisher Name: Springer, Cham
Print ISBN: 978-3-031-51651-1
Online ISBN: 978-3-031-51652-8
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