Self-excited oscillations in system with one non-linearity
β Scribed by Guido Avanzolini; Gianni Bertoni
- Publisher
- Springer Netherlands
- Year
- 1969
- Tongue
- English
- Weight
- 307 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0025-6455
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π SIMILAR VOLUMES
## Abstract Perturbation of a singleβdegreeβofβfreedom conservative oscillator leads to the emergence and vanishing of periodic solutions and to various types of selfβexcited oscillations. Using techniques from dynamical systems theory, in particular a certain PoincarΓ© map, we establish the presenc
The response of a non-linear oscillator of the form x¨+ f(A, B, x) = og (E, m, w, k, t), where f(A, B, x) is an odd non-linearity and o is small, for A Q 0 and B q 0 is considered. The homoclinic orbits for the unperturbed system are obtained by using Jacobian elliptic functions with the generalized