Within the class of quadratic perturbations we show analytically or numerically how many limit cycles can be bifurcated at first order out of the periodic orbits nested around the centre point in \((0,0)\) or nested around the centre point in \((0,1 / n)\) of the quadratic system \(\dot{x}=-y+n y^{2
โฆ LIBER โฆ
Unfolding of a Quadratic Integrable System with Two Centers and Two Unbounded Heteroclinic Loops
โ Scribed by Freddy Dumortier; Chengzhi Li; Zifen Zhang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 591 KB
- Volume
- 139
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
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The non-similar normal modes of free oscillations of a coupled non-linear oscillator are examined. So far, the study of non-linear vibrations has been based on the assumption that the system is admissible. This requirement is satis"ed when the sti!ness of the springs are odd functions of their displ