Period function monotonicity of planar vector fields
β Scribed by Khalil I.T. Al-Dosary
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 522 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, we study planar differential systems possessing a center at the origin. We introduce functional conditions for centers and obtain sufficient conditions for monotonicity of period function and isochronicity of the center of systems of ODE reducible to the equation
x). These criteria are applied to obtain sufficient conditions for isochronicity of some special important systems.
π SIMILAR VOLUMES
In this paper, we study the codimension four quadratic system It is proved that the period function of periodic trajectories for Q 4 is monotone. The content of this paper can be viewed as a contribution to the proof of Chicone's conjecture (cf. MR: 94h:58072).
We prove that for analytic rapidly forced two dimensional systems the Melnikov function is exponentially small with respect to the period. We provide an example of non validity of Melnikov's method and we obtain upper bounds for conservative and analytic planar systems for big amplitude periodic rap