Strongly nonlinear shear perturbations in discrete and continuous cubic nonlinear systems
โ Scribed by O. V. Rudenko; E. V. Solodov
- Book ID
- 110216138
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 912 KB
- Volume
- 57
- Category
- Article
- ISSN
- 1063-7710
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Methods for determining the response of continuous systems with quadratic and cubic nonlinearities are discussed. We show by means of a simple example that perturbation and computational methods based on first discretizing the systems may lead to erroneous results whereas perturbation methods that a
The new perturbation algorithm combining the method of multiple scales (MS) and Lindstedt-Poincare techniques is applied to an equation with quadratic and cubic nonlinearities. Approximate analytical solutions are found using the classical MS method and the new method. Both solutions are contrasted