| Title: | Limit cycle bifurcated from a center in a three dimensional system |
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| Authors: | ID Sang, Bo (Author)
ID Ferčec, Brigita (Author)
ID Wang, Qin-Long (Author) |
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| Files: |  Electronic_Journal_of_Differential_Equations_2016_Sang,_Fercec,_Wang_Limit_Cycles_Bifurcated_From_a_Center_in_a_Three_Dimensional_System.pdf (236,33 KB)
MD5: A8A709DB1B3C935BB67FC787109AF9FB
PID: 20.500.12556/dkum/b58d581d-9d4e-4409-ae0e-a72e943f4b0f
 http://ejde.math.txstate.edu/Volumes/2016/109/sang.pdf
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FE - Faculty of Energy Technology
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| Abstract: | Based on the pseudo-division algorithm, we introduce a method for computing focal values of a class of 3-dimensional autonomous systems. Using the $Є^1$-order focal values computation, we determine the number of limit cycles bifurcating from each component of the center variety (obtained by Mahdi et al). It is shown that at most four limit cycles can be bifurcated from the center with identical quadratic perturbations and that the bound is sharp. |
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| Keywords: | algorithms, three dimensional systems, focal value, limit cycle, Hopf bifurcation, center |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2016 |
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| Number of pages: | str. 1-11 |
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| Numbering: | Letn. 2016, št. 109 |
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| PID: | 20.500.12556/DKUM-67234  |
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| ISSN: | 1072-6691 |
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| UDC: | 517.95 |
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| ISSN on article: | 1072-6691 |
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| COBISS.SI-ID: | 1024228444 |
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| NUK URN: | URN:SI:UM:DK:DWEBBLPK |
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| Publication date in DKUM: | 08.08.2017 |
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| Views: | 2907 |
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| Downloads: | 151 |
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| Metadata: |    |
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| Categories: | Misc.
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