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Nonlinear Oscillations. / Tovstik, Petr Evgenievich; Yushkov, Mikhail Petrovich.

Foundations in Engineering Mechanics. Springer Nature, 2021. p. 31-95 (Foundations in Engineering Mechanics).

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Harvard

Tovstik, PE & Yushkov, MP 2021, Nonlinear Oscillations. in Foundations in Engineering Mechanics. Foundations in Engineering Mechanics, Springer Nature, pp. 31-95. https://doi.org/10.1007/978-3-030-64118-4_2

APA

Tovstik, P. E., & Yushkov, M. P. (2021). Nonlinear Oscillations. In Foundations in Engineering Mechanics (pp. 31-95). (Foundations in Engineering Mechanics). Springer Nature. https://doi.org/10.1007/978-3-030-64118-4_2

Vancouver

Tovstik PE, Yushkov MP. Nonlinear Oscillations. In Foundations in Engineering Mechanics. Springer Nature. 2021. p. 31-95. (Foundations in Engineering Mechanics). https://doi.org/10.1007/978-3-030-64118-4_2

Author

Tovstik, Petr Evgenievich ; Yushkov, Mikhail Petrovich. / Nonlinear Oscillations. Foundations in Engineering Mechanics. Springer Nature, 2021. pp. 31-95 (Foundations in Engineering Mechanics).

BibTeX

@inbook{b55364887e9f4afb96d24fc98b75e948,
title = "Nonlinear Oscillations",
abstract = "In this chapter, a special emphasis is given to approximate methods of solution of nonlinear equations (the small-parameter method, asymptotic methods). A relation between the Bubnov–Galerkin method with the Gauss{\textquoteright} principled is established. A detailed exposition is given to P. L. Kapitsa{\textquoteright}s method of direct separation of motions, which at present is not adequately presented in textbooks. Theoretical results are clarified by solving a number of new examples. The last subsection is dedicated to strange attractors.",
author = "Tovstik, {Petr Evgenievich} and Yushkov, {Mikhail Petrovich}",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-64118-4_2",
language = "English",
series = "Foundations in Engineering Mechanics",
publisher = "Springer Nature",
pages = "31--95",
booktitle = "Foundations in Engineering Mechanics",
address = "Germany",

}

RIS

TY - CHAP

T1 - Nonlinear Oscillations

AU - Tovstik, Petr Evgenievich

AU - Yushkov, Mikhail Petrovich

N1 - Publisher Copyright: © 2021, Springer Nature Switzerland AG.

PY - 2021

Y1 - 2021

N2 - In this chapter, a special emphasis is given to approximate methods of solution of nonlinear equations (the small-parameter method, asymptotic methods). A relation between the Bubnov–Galerkin method with the Gauss’ principled is established. A detailed exposition is given to P. L. Kapitsa’s method of direct separation of motions, which at present is not adequately presented in textbooks. Theoretical results are clarified by solving a number of new examples. The last subsection is dedicated to strange attractors.

AB - In this chapter, a special emphasis is given to approximate methods of solution of nonlinear equations (the small-parameter method, asymptotic methods). A relation between the Bubnov–Galerkin method with the Gauss’ principled is established. A detailed exposition is given to P. L. Kapitsa’s method of direct separation of motions, which at present is not adequately presented in textbooks. Theoretical results are clarified by solving a number of new examples. The last subsection is dedicated to strange attractors.

UR - http://www.scopus.com/inward/record.url?scp=85120897105&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-64118-4_2

DO - 10.1007/978-3-030-64118-4_2

M3 - Chapter

AN - SCOPUS:85120897105

T3 - Foundations in Engineering Mechanics

SP - 31

EP - 95

BT - Foundations in Engineering Mechanics

PB - Springer Nature

ER -

ID: 92421721