Integrability and Pseudo-Linearizable Conditions in a Quasi-Analytic System
This paper deals with the problems of integrability and linearizable conditions at degenerate singular point in a class of quasianalytic septic polynomial differential system. We solve the problems by an indirect method, that is, we transform the quasianalytic system into an analytic system firstly,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/783546 |
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| Summary: | This paper deals with the problems of integrability and linearizable conditions at
degenerate singular point in a class of quasianalytic septic polynomial differential
system. We solve the problems by an indirect method, that is, we transform the quasianalytic
system into an analytic system firstly, and the degenerate singular point into
an elementary singular point. Then we calculate the singular values at the origin of
the analytic system by the known classical methods. We obtain the center conditions
and isochronous center conditions. Accordingly, integrability and pseudolinearizable
conditions at degenerate singular point in the quasianalytic system are obtained. Especially, when 𝜆=1, the system has been studied in Wu and Zhang (2010). |
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| ISSN: | 1085-3375 1687-0409 |