Comparison of the periodic solutions of quasi-linear systems constructed by the method of poincaré and by the method of Krylov-Bogoliubov
✍ Scribed by A.P. Proskuriakov
- Publisher
- Elsevier Science
- Year
- 1964
- Tongue
- English
- Weight
- 408 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0021-8928
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📜 SIMILAR VOLUMES
The elliptic Lindstedt}PoincareH method is used/employed to study the periodic solutions of quadratic strongly non-linear oscillators of the form xK #c x# c x" f (x,. xR ), in which the Jacobian elliptic functions are employed instead of the usual circular functions in the classical Lindstedt}Poinc
The multiple scales method, developed for the systems with small non-linearities, is extended to the case of strongly non-linear self-excited systems. Two types of nonlinearities are considered: quadratic and cubic. The solutions are expressed in terms of Jacobian elliptic functions. Higher order ap