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Approximation Techniques for Non Linear Oscillators

2009/04/13 by Jayanta K. Bhattacharjee, Bhattacharjee, J. K., Debabrata Dutta +3
Mathematics · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.0904.1793

openalex publication_date 2009/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Lindstedt-Poincare perturbation theory is always a reliable technique in the region of small coupling constant. The harmonic balance result, on the other hand, if expanded in the perturbation parameter may lead to incorrect results.

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