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Mickens, Ronald E.

An introduction to nonlinear oscillations. (English) Zbl 0459.34002

Cambridge etc.: Cambridge University Press. XIV, 224 p. £30.00 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0459.34002

Cited in 2 Reviews
Cited in 40 Documents

MSC:

34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34C29 Averaging method for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems

Keywords:

perturbation schemes; autonomous case; Krylov-BogoliubovMitropolsky averaging method; multi-time expansion procedure; weakly nonlinear springs with quadratic or cubic nonlinearity; damping; Rayleigh equation; Van der Pol equation
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