𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On ways of introducing a small parameter into equations of nonlinear vibrations

✍ Scribed by A.P. Proskuriakov

Book ID
103135079
Publisher
Elsevier Science
Year
1958
Tongue
English
Weight
289 KB
Volume
22
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Periodic solutions for nonlinear differe
Periodic solutions for nonlinear differential systems of equations with a small parameter
✍ Mihai Popescu πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 101 KB

We analyse the behaviour of the solution for a small parameter of some nonlinear di erential systems for which the linearized system admits periodic solutions. We obtain the normal variation system, which allows the study of stability of the transformed system, as well as several considerations on t

Periodic solutions of second-order nonli
Periodic solutions of second-order nonlinear difference equations containing a small parameter
✍ Ronald E. Mickens πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 314 KB

We extend to difference equations the classical method of harmonic balance. We show that the method can be used to obtain an approximation to the periodic solutions of a special class of second-order nonlinear di$erence equations containing a small parameter. Two examples illustrating the method are