Ordinary differential equations Asymptotic and perturbation methods Concept
Poincaré–Lindstedt method
Summary
The Poincaré–Lindstedt method finds approximate periodic solutions of weakly nonlinear oscillators. It expands both the solution and its frequency in powers of the small parameter. The frequency corrections are chosen to remove secular terms, which grow without bound in time and spoil a naive expansion. The method shows how nonlinearity shifts the frequency of an oscillation with its amplitude.
Further reading
About this page
| Tag | YHJHPRKQ6D |
|---|---|
| URI | m2://YHJHPRKQ6D |
| Kind | concept |
| Writing | W0 stub |
| MSC | 34E10, 34C15 |
| Same as | |
| Changed | 2 November 2026 |
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