The problem of limit cycles is interesting and significant both in theory and applications. In mathematical ecology, finding models that display a stable limit cycle-an attracting stable self-sustained oscillation, is a primary work. In this paper, a general Kolmogorov system, which includes the Ga
β¦ LIBER β¦
Limit cycles in a general two-stroke oscillation
β Scribed by Xuncheng Huang; Lemin Zhu; Ansheng Cheng
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 145 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
Conditions of the existence of limit cycles in a general two-stroke oscillation system are obtained. The general oscillation is a special kind of LiΓ©nard-type system with isoclines approaching both positive infinites or negative infinites as t β Β±β. The conditions for the uniqueness of the twostroke oscillation are also proved. Some examples are used to illustrate our results.
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