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Nonlinear Oscillations : Exact Solutions and their Approximations / by Ivana Kovacic

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Cham : Springer International Publishing, 2020Publisher: Cham : Imprint: Springer, 2020Edition: 1st ed. 2020Description: 1 Online-Ressource(X, 273 p. 123 illus., 105 illus. in color.)ISBN:
  • 9783030531720
Subject(s): Additional physical formats: 9783030531713 | 9783030531737 | 9783030531744 | Erscheint auch als: 9783030531713 Druck-Ausgabe | Erscheint auch als: 9783030531737 Druck-Ausgabe | Erscheint auch als: 9783030531744 Druck-AusgabeDOI: DOI: 10.1007/978-3-030-53172-0Online resources: Summary: Chapter1. Oscillators and Oscillatory Responses in Practical and Theoretical Systems -- Chapter2. Free Conservative Oscillators: from Linear to Nonlinear Systems -- Chapter3. Free Damped Oscillators -- Chapter4. Forced Oscillators -- Chapter5. Nonlinear Isochronous Oscillators -- Chapter6. From Chains of Nonlinear Oscillators to Continuous Nonlinear Systems.Summary: This book presents exact, closed-form solutions for the response of a variety of nonlinear oscillators (free, damped, forced). The solutions presented are expressed in terms of special functions. To help the reader understand these `non-standard' functions, detailed explanations and rich illustrations of their meanings and contents are provided. In addition, it is shown that these exact solutions in certain cases comprise the well-known approximate solutions for some nonlinear oscillations.PPN: PPN: 1728465397Package identifier: Produktsigel: ZDB-2-ENG | ZDB-2-SEB | ZDB-2-SXE
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