𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Comparison of two Lindstedt–Poincaré-type perturbation methods

✍ Scribed by H. Hu; Z.G. Xiong

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
417 KB
Volume
278
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Comparison of two perturbation methods
Comparison of two perturbation methods
✍ S. R. Singh; V. H. Smith Jr. 📂 Article 📅 1970 🏛 John Wiley and Sons 🌐 English ⚖ 356 KB

## Abstract Polikanov's perturbation method for the solution of the radial Schrödinger equation is shown to be equivalent to the usual Rayleigh‐Schrödinger method but with __full__ normalization instead of __intermediate__ noralization. The energy corrections are shown to be the same to all orders.

A MODIFIED LINDSTEDT–POINCARE METHOD FOR
A MODIFIED LINDSTEDT–POINCARE METHOD FOR A STRONGLY NON-LINEAR TWO DEGREE-OF-FREEDOM SYSTEM
✍ S.H. Chen; Y.K. Cheung 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 435 KB

A modified Lindstedt-Poincare´(L-P) method for extending the validity of perturbation expansions to strongly non-linear oscillations of two-degree-of-freedom (DOF) systems is presented. A parameter transformation a = a (o, v0, v1) is adopted such that a strongly non-linear system with a large parame