A Toolbox of Averaging Theorems

DOI10.1007/978-3-031-34515-9zbMATH Open1528.34001OpenAlexW4385151347MaRDI QIDQ6165757

Ferdinand Verhulst

Publication date: 2 August 2023

Published in: Surveys and Tutorials in the Applied Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-34515-9

zbMATH Keywords

Mathieu EquationDuffing EquationAveraging MethodsDifferential Equations in EngineeringHamiltonian ResonancesPeriodic AveragingVan der Pol EquationVerhulst Averaging

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Averaging of perturbations for nonlinear problems in mechanics (70K65)

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