The representation of periodic solutions of newtonian systems
β Scribed by R. Pavani; R. Talamo
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 426 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0895-7177
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π SIMILAR VOLUMES
## Abstract We will find a positive constant Ξ£~2~ such that for any 2__Ο__ βperiodic function __h__ (__t__) with zero mean value, the quadratic Newtonian equation __x__ β³ + __x__^2^ = __Ο__ + __h__ (__t__) will have exactly two 2__Ο__ βperiodic solutions with one being unstable and another being tw
large number of results from linear timeinvariant system theory can be extended to periodic systems provided an equivalent time-invariant system can be found. This paper presents a simple and numerically reliable procedure to achieve the same. It is shown that, using a stacked representation of peri
This paper presents a sufficient condition for the stability of periodic solutions of a newtonian equation. This condition depends on the third order approximation and does not involve small parameters. An application to an equation with cubic potential is given.