Simplified second order two-timing approximations to small amplitude nonlinear conservative oscillations

DOI10.1080/00036818808839454zbMath0626.34009OpenAlexW2038389350WikidataQ58308658 ScholiaQ58308658MaRDI QIDQ3029332

P. Torggler, C. Leubner

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839454

zbMATH Keywords

two-timing methodsecond order approximationsLindstedt-Poincare methodsmall amplitude nonlinear conservative oscillationsweakly nonlinear conservative systems

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Unnamed Item
• Perturbation methods in applied mathematics
• Asymptotic analysis of hamiltonian systems
• On the Construction of Poincaré–Lindstedt Solutions: The Nonlinear Oscillator Equation
• Comparison of the Modified Method of Averaging and the Two Variable Expansion Procedure

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