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A necessary condition for the existence of periodic solutions of certain three dimensional autonomous systems

✍ Scribed by M. Bayat; B. Mehri

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
394 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this article, we give a necessary condition for the existence of periodic solutions of certain three dimensional autonomous systems. This may become useful in further investigations. Our claims are proved and supported by certain examples for the third order autonomous systems.

πŸ“œ SIMILAR VOLUMES

The existence of almost periodic solutio
The existence of almost periodic solutions of a certain nonlinear system
✍ Yuanheng Wang; Yong-Hui Xia πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 302 KB

This paper studies a certain nonlinear system. By averaging method and exponential dichotomy, some sufficient conditions are given for the existence of almost periodic solutions of the system. The results generalize the known ones.